| Дипломна работа |
|
|
Румен Улучев, Интерполационна задача на Ермит за интерполиране с полиноми и рационални функции, СУ "Св. Климент Охридски", ФМИ, Ръководител:Борислав Боянов
|
1983
|
| Дисертация д-р |
|
|
Румен Улучев, Задачи за оптимално интерполиране, СУ "Св. Климент Охридски", ФМИ, Ръководител:Борислав Боянов
|
1990
|
| Книга |
|
1
|
Огнян Касабов, Румен Улучев, Формули по висша математика, ISBN:978-954-12-0146-6, ВТУ "Тодор Каблешков", София, Рецензирано
|
2012
|
|
2
|
Драго Михалев, Румен Улучев, Приложна математика, ISBN:978-954-12-0156-5, ВТУ "Тодор Каблешков", София, Рецензирано
|
2008
|
| Научен проект |
|
1
|
Румен Улучев, Числен анализ, теория на приближенията и техните приложения, Член, Европейския съюз, NextGenerationEU, Номер на договора:BG-RRP-2.004-0008
|
2023
|
|
2
|
Румен Улучев, Нови направления в теория на апроксимациите, Член, МОН - Фонд "Научни изследвания", Номер на договора:КП-06 H62-4/13.12.2022
|
2022
|
|
3
|
Румен Улучев, Някои задачи в теория на апроксимациите, Ръководител, ФНИ на СУ, Номер на договора:80-10-20/2021
|
2021
|
|
4
|
Румен Улучев, Теория и алгоритми за апроксимиране с полиноми и сплайни, Член, МОН - Фонд "Научни изследвания", Номер на договора:ДНТС - Австрия КП-06
|
2019
|
|
5
|
Румен Улучев, Частично финансиране на International Conference Constructive Theory of Functions – 2019, Sozopol, June 2-8, 2019, Член, СУ "Св. Климент Охридски", Номер на договора:80-10-114/15.04.2019
|
2019
|
|
6
|
Румен Улучев, Апроксимации и числени методи, Член, ФНИ на СУ, Номер на договора:80-10-139/2018
|
2018
|
|
7
|
Румен Улучев, Частично финансиране на Ninth International Conference on Numerical Methods and Applications (NM&A 2018), August 20-24, 2018, Borovets, Bulgaria, Член, СУ "Св. Климент Охридски", Номер на договора:80-10-231/09.05.2018
|
2018
|
|
8
|
Румен Улучев, Low-Rank, Polynomial and Spline Approximations and Applications, Член, МОН - ФОНД "НАУЧНИ ИЗСЛЕДВАНИЯ", Номер на договора:DNTS_Austria_01/3
|
2017
|
|
9
|
Румен Улучев, Числени методи и апроксимации, Ръководител, ФНИ на СУ, Номер на договора:80.10-11/2017
|
2017
|
|
10
|
Румен Улучев, Съвременни методи в конструктивната теория на функциите, Член, МОН - ФОНД "НАУЧНИ ИЗСЛЕДВАНИЯ", Номер на договора:ДН 02/14
|
2016
|
|
11
|
Румен Улучев, Числено и символно апроксимиране с Радонови проекции, Член, ФНИ на МОН и Osterreichischer Austauschdienst OeAD, Номер на договора:ДНТС Австрия 01/6 /2013
|
2013
|
|
12
|
Румен Улучев, Ефективни методи и алгоритми за геометрично моделиране, Ръководител, МОН - ФОНД "НАУЧНИ ИЗСЛЕДВАНИЯ", Номер на договора:ДФНИ-Т01/0001
|
2012
|
|
13
|
Румен Улучев, Развитие на електронните форми за дистанционно обучение и изграждане на виртуална библиотека във ВТУ „Тодор Каблешков“ – София“, Член, Европейски социален фонд, Номер на договора:BG051PO001-4.3.04-0024
|
2012
|
|
14
|
Румен Улучев, Съвременни методи в теорията на апроксимациите, Член, МОН - ФОНД "НАУЧНИ ИЗСЛЕДВАНИЯ", Номер на договора:ДДВУ 02/30
|
2010
|
|
15
|
Румен Улучев, Математически методи и алгоритми за компютърна томография, Ръководител, МОН - ФОНД "НАУЧНИ ИЗСЛЕДВАНИЯ", Номер на договора:ВУ-И-303/2007
|
2007
|
|
16
|
Румен Улучев, Екстремални задачи в теорията на приближенията, Член, МОН - ФОНД "НАУЧНИ ИЗСЛЕДВАНИЯ", Номер на договора:М-1402/2004
|
2004
|
|
17
|
Румен Улучев, Оптимални методи за приближение, Член, МОН - ФОНД "НАУЧНИ ИЗСЛЕДВАНИЯ", Номер на договора:ММ-802/1998
|
1998
|
| Научно ръководство |
|
|
Румен Улучев, Най-гладка интерполация с гранични условия в W^3_2[a,b], СУ "Св. Климент Охридски", ФМИ дипломна работа:Велина Иванова
|
2020
|
| Редактор на издание нереферирано |
|
|
Румен Улучев, В. Гушев, "Кратка геометрия на триъгълника", Унив. изд. "Св. Климент Охридски", 2023, ISBN: 978-954-07-5851-0., Редактор на издание нереферирано
|
2023
|
| Редактор на издание реферирано |
|
|
G. Nikolov, N. Kolkovska, K. Georgiev; Managing editors: S. Dimova, R. Uluchev, Numerical Methods and Applications Subtitle. 9th International Conference, NMA 2018, Редактор на издание реферирано
|
2018
|
| Редактор на сборник |
|
1
|
Борислав Драганов, Камен Иванов, Гено Николов, Румен Улучев, Constructive Theory of Functions, Lozenets 2023, Редактор на сборник
|
2023
|
|
2
|
Борислав Драганов, Камен Иванов, Гено Николов, Румен Улучев, Constructive Theory of Functions, Sozopol 2019 Dedicated to the memory of Blagovest Sendov, Редактор на сборник
|
2019
|
|
3
|
Румен Улучев, Гено Николов, Камен Иванов, Constructive Theory of Functions, Sozopol 2016, Редактор на сборник
|
2017
|
| Статия в научно списание |
|
1
|
Ivan Gadjev, Parvan E. Parvanov, Rumen Uluchev, On a new modification of Baskakov operators with higher order of approximation , Mathematics, vol:13, issue:1, 2025, pages:1-18, ISSN (online):2227-7390, doi:10.3390/math13010064 , Ref, IF, IF (2.3 - 2023), Web of Science Quartile: Q1 (Mathematics)
|
2025
|
|
2
|
Geno Nikolov, Rumen Uluchev, On the sharp constant in a weighted Hardy inequality, Monatshefte für Mathematik, 2025, pages:1-19, ISSN (print):0026-9255, ISSN (online):1436-5081, doi:10.1007/s00605-024-02052-z, Ref, IF, IF (0.8 - 2023), Web of Science Quartile: Q2 (Mathematics)
|
2025
|
|
3
|
Ivan Gadjev, Parvan E. Parvanov, Rumen Uluchev, Higher order approximation of functions by modified Goodman-Sharma operators, Constructive Mathematical Analysis, vol:7, issue:4, 2024, pages:180-195, ISSN (online):2651-2939, doi:10.33205/cma.1563047, Ref, IF, IF (1.1 - 2023), Web of Science Quartile: Q1 (Mathematics)
|
2024
|
|
4
|
Ivan Gadjev, Parvan E. Parvanov, Rumen Uluchev, Strong converse inequality for weighted approximation of functions by the Szasz-Mirakjan-Kantorovich operator, Results in Mathematics, vol:79, issue:Artical number 149, 2024, ISSN (print):1422-6383, ISSN (online):1420-9012, doi:10.1007/s00025-024-02179-3, Ref, IF, IF (1.1 - 2023), Web of Science Quartile: Q1 (Mathematics)
|
2024
|
|
5
|
Dimitar K. Dimitrov, Ivan Gadjev, Geno Nikolov, Rumen Uluchev, Hardy’s inequalities in finite dimensional Hilbert spaces, Proceedings of the AMS, vol:Published electronically: March 26, 2021, issue:149, no. 6, 2021, pages:2515-2529, ISSN (print):0002-9939, ISSN (online):1088-6826, doi:https://doi.org/10.1090/proc/15467, Ref, IF, IF (0.971 - 2021), Web of Science Quartile: Q2 (Mathematics), International
|
2021
|
|
6
|
Velina Ivanova, Rumen Uluchev, Smoothest interpolation with boundary conditions in W^3_2[a,b], Annual of Sofia University "St. Kliment Ohridski". Faculty of Mathematics and Informatics, vol:106, 2019, pages:153-174, ISSN (print):1313-9215, ISSN (online):2603-5529, Ref, MSc
|
2019
|
|
7
|
Ivan Gadjev, Parvan E. Parvanov, Rumen Uluchev, Weighted approximation by Kantorovich type modification of Meyer-König and Zeller operator, Annual of Sofia University "St. Kliment Ohridski, vol:105, 2018, pages:75-95, ISSN (print):1313-9215, ISSN (online):2603-5529, Ref
|
2018
|
|
8
|
Geno Nikolov, Rumen Uluchev, Estimates for the best constant in a Markov L_2-inequality with the assistance of computer algebra, Annual of Sofia University "St. Kliment Ohridski", Faculty of Mathematics and Informatics, vol:104, 2017, pages:55-75, ISSN (print):0205-0808 , ISSN (online):1313-9215, Ref
|
2017
|
|
9
|
Irina Georgieva, Rumen Uluchev, Smoothing of Radon projections type of data by bivariate polynomials, Journal of Computational and Applied Mathematics, vol:215, 2008, pages:167-181, ISSN (print):0377-0427, doi:10.1016/j.cam.2007.04.002, Ref, IF, IF (1.048 - 2008), Web of Science Quartile: Q2 (2008)
|
2008
|
|
10
|
Rumen Uluchev, Smoothest interpolation with free nodes in W^r_p, Journal of Approximation Theory, vol:Special volume "Progress in Approximation Theory", 1991, pages:787-806, ISSN (print):0021-9045, ISSN (online):1096-0430, ISBN:0-12-516750-4, Ref, IF, IF (0.391 - 1997), Web of Science Quartile: Q2 (1997), Zentralblatt(0719.41001)
|
1991
|
|
11
|
Rumen Uluchev, On the uniqueness of the smoothest interpolant with free nodes in W^r_p, Comptes Rendus de l’Academie Bulgare des Sciences, vol:43, issue:4, 1990, pages:31-34, ISSN (print):1310–1331, ISSN (online):2367-5535, IF, IF (0.106 - 2007), Web of Science Quartile: Q4 (2007)
|
1990
|
|
12
|
Rumen Uluchev, B-splines with Birkhoff knots. Applications in the approximations and shape-preserving interpolation, Mathematica Balkanica (N. S.), vol:3, issue:2, 1989, pages:225-239, ISSN (print):0205-3217, Ref, Zentralblatt(0714.41018)
|
1989
|
|
13
|
Geno Nikolov, Rumen Uluchev, A comparison theorem for Tchebycheff polynomials, Serdica Bulgaricae Mathematicae Publications, vol:14, 1988, pages:95-97, ISSN (print):1310-6600, Ref, MathSciNet(MR0944489 (89k:41034))
|
1988
|
|
14
|
Rumen Uluchev, An extremal problem in the set of Blashke products with fixed multiplicities of the zeros, SERDICA Bulgaricae Mathematicae Publications, vol:14, 1988, pages:98-101, ISSN (print):1310-6600, Ref, MathSciNet(MR0944490 (89g:30064))
|
1988
|
| Статия в поредица |
|
1
|
Geno Nikolov, Rumen Uluchev, Bounds for the extreme zeros of Laguerre polynomials, Lecture Notes in Computer Science, vol:Numerical Methods and Applications. 9th International Conference, NMA 2018, issue:11189, editor/s:G. Nikolov, N. Kolkovska, K. Georgiev, Publisher:Springer, 2019, pages:243-250, ISSN (online):ISBN (online): 978-3-030-10692-8, ISBN:978-3-030-10691-1, doi:https://doi.org/10.1007/978-3-030-10692-8_27, IR , SCOPUS, SJR (0.295 - 2017), SCOPUS Quartile: Q3 (2017)
|
2019
|
|
2
|
Irina Georgieva, Clemens Hofreither, Rumen Uluchev, Least squares fitting of harmonic functions based on Radon projections, Lecture Notes in Computer Science, vol:Mathematical Methods for Curves and Surfaces, issue:8177, editor/s: M. Floater, T. Lyche, M.-L. Mazure, K. Moerken and L. L. Schumaker, Publisher:Springer-Verlag, 2014, pages:158-171, ISSN (online):ISBN (online): 978-3-642-54382-1, ISBN:978-3-642-54381-4, doi:10.1007/978-3-642-54382-1_9, Ref, IR , SCOPUS, SJR (0.354 - 2014), SCOPUS Quartile: Q3 (2014), International
|
2014
|
|
3
|
Lubomir Dechevsky, Rumen Uluchev, Hermite interpolation using ERBS with trigonometric polynomial local functions, Lecture Notes in Computer Science, vol:Large-Scale Scientific Computing 2011, issue:7116, editor/s:I. Lirkov, S. Margenov and J. Wasniewski, Publisher:Springer, 2012, pages:420-428, ISSN (online):ISBN (online): 978-3-642-29843-1, ISBN:978-3-642-29842-4, doi:10.1007/978-3-642-29843-1_47, IR , SCOPUS, SJR (0.346 - 2012), SCOPUS Quartile: Q3 (2012)
|
2012
|
|
4
|
Irina Georgieva, Rumen Uluchev, On interpolation in the unit disk based on both Radon projections and function values, Lecture Notes in Computer Science, vol:Large-Scale Scientific Computing 2009, issue:5910, editor/s:I. Lirkov, S. Margenov and J. Wasniewski, Publisher:Springer, Heidelberg, 2010, pages:744-755, ISSN (online):ISBN (online): 978-3-642-12535-5 , ISBN:978-3-642-12534-8, doi:10.1007/978-3-642-12535-5_89, Ref, IR , SCOPUS, SJR (0.322 - 2010), SCOPUS Quartile: Q2 (2010)
|
2010
|
|
5
|
Irina Georgieva, Rumen Uluchev, Surface reconstruction and Lagrange basis polynomials, Lecture Notes in Computer Science, vol:Large-Scale Scientific Computing 2007, issue:4818, editor/s:I. Lirkov, S. Margenov and J. Wasniewski, Publisher:Springer, 2008, pages:670-678, ISSN (online):ISBN (online): 978-3-540-78827-0, ISBN:978-3-540-78825-6, doi:10.1007/978-3-540-78827-0_77, IR , SCOPUS, SJR (0.277 - 2008), SCOPUS Quartile: Q4 (2008)
|
2008
|
| Статия в сборник (на конференция и др.) |
|
1
|
Parvan E. Parvanov, Rumen Uluchev, On a direct result for a family of modified Goodman-Sharma operators, Proceedings Book of the 7th Mediterranean International Conference of Pure & Applied Mathematics and Related Areas (MICOPAM 2024), editor/s:Y. Simsek, M. Alkan, I. Kucukoglu, O. Ones, 2024, pages:91-94, ISBN:978-625-00-1131-7
|
2024
|
|
2
|
Ivan Gadjev, Rumen Uluchev, Strong converse result
for weighted approximation
by Baskakov-Kantorovich operator, "Constructive Theory of Functions", Sozopol 2019, editor/s:B. Draganov, K. Ivanov, G. Nikolov and R. Uluchev, Publisher:Prof. Marin Drinov Publishing House of BAS, 2020, pages:53-71, ISBN:978-619-245-060-1, Ref
|
2020
|
|
3
|
Irina Georgieva, Clemens Hofreither, Rumen Uluchev, Approximations using Radon projection data in the unit disc, Recent Approaches to Numerical Analysis: Theory, Methods and Applications, editor/s:G. Akrivis, V. Doulass, S. Gallopoulos, A. Hdjidimos, I. Kotsireas, Y, Saridakis, Publisher:Chania, 2014, pages:116-122, ISSN (online):ISBN (online): 978-960-8475-22-9, ISBN:978-960-8475-21-2, Ref, International
|
2014
|
|
4
|
Irina Georgieva, Clemens Hofreither, Rumen Uluchev, Interpolation of mixed type data by bivariate polynomials, Constructive Theory of Functions, Sozopol 2010, editor/s:G. Nikolov, R. Uluchev, Publisher:Академично издателство "Проф. Марин Дринов", 2012, pages:93-107, ISBN:978-954-322-490-6, Ref, MathSciNet(MR3051101), International
|
2012
|
|
5
|
Dimitar K. Dimitrov, Geno Nikolov, Rumen Uluchev, Borislav Bojanov and his contribution to approximation theory, Approximation Theory: a Volume dedicated to Borislav Bojanov, editor/s:Dimitar K. Dimitrov, Geno Nikolov, Rumen Uluchev, Publisher:Prof. Marin Drinov Academic Publishing House, 2004, pages:1-14, Ref
|
2004
|
|
6
|
Geno Nikolov, Rumen Uluchev, Inequalities for real-root polynomials. Proof of a conjecture of Foster and Krasikov, Approximation Theory: A Volume Dedicated to Borislav Bojanov, editor/s:D. Dimitrov, G. Nikolov and R. Uluchev, Publisher:Академично издателство "Проф. Марин Дринов", 2004, pages:201-216, ISBN:954-322-038-7, Ref, MathSciNet(MR2117088 (2005m:41029))
|
2004
|
|
7
|
Rumen Uluchev, On a conjecture of polynomial zeros, Constructive Theory of Functions, Varna 2002, editor/s:B. Bojanov, Publisher:DARBA, 2003, pages:440-445, ISBN:954-90126-6-2, Ref, Zentralblatt(1026.30008)
|
2003
|
|
8
|
Rumen Uluchev, Geometric Birkhoff interpolation with parametric quadratic splines, Constructive Theory of Functions '91, editor/s:К. Иванов, П. Петрушев, Бл. Сендов, Publisher:Издателство на БАН, 1992, pages:277-283, Ref
|
1992
|
|
9
|
Georgi Grozev, Rumen Uluchev, A problem on Blashke products, Constructive Theory of Functions '87, editor/s:Бл. Сендов, П. Петрушев, К. Иванов, Р. Малеев, Publisher:Издателство на БАН, 1988, pages:184-190, Ref, MathSciNet(MR0994836 (91b:26020))
|
1988
|
|
10
|
Rumen Uluchev, On the critical points of a polynomial of third degree, Математика и математическо образование 1988, Publisher:Издателство на БАН, 1988, pages:200-203, Ref
|
1988
|
|
11
|
Rumen Uluchev, Интерполиране с непрекъснати дроби във възли с кратности, Математика и математическо образование 1984, издателство:Издателство на БАН, 1984, стр.:197-202, Ref, MathSciNet(MR0748692)
|
1984
|
| Участие в конференция |
|
1
|
Секционен доклад, Румен Улучев, Strong converse inequality for weighted approximation of functions by the Szasz-Mirakjan-Kantorovich operator
|
2024
|
|
2
|
Секционен доклад, Румен Улучев, Weighted approximation by Szasz-Mirakjan-Kantorovich operator
|
2024
|
|
3
|
Секционен доклад, Румен Улучев, Recent progress in weighted L_p approximation of functions by Kantorovich-type operators
|
2024
|
|
4
|
Секционен доклад, Румен Улучев, On a direct result for a family of modified Goodman-Sharma operators
|
2024
|
|
5
|
Секционен доклад, Румен Улучев, Chebyshev B-splines with Birkhoff type of knots
|
2024
|
|
6
|
Секционен доклад, Румен Улучев, Asymptotically sharp estimates for the best constant in a weighted Hardy inequality
|
2023
|
|
7
|
Секционен доклад, Румен Улучев, On the Sharp Constant in a Weighted Hardy L_2 Inequality
|
2023
|
|
8
|
Секционен доклад, Румен Улучев, On the sharp constant in inequalities of Hardy type
|
2022
|
|
9
|
Секционен доклад, Румен Улучев, On smoothest interpolant in the space W_2^3[a,b] satisfying boundary conditions
|
2022
|
|
10
|
Секционен доклад, Румен Улучев, Smoothest interpolation with boundary conditions in the Sobolev Space W_2^3[a,b]
|
2021
|
|
11
|
Секционен доклад, Румен Улучев, Smoothest interpolation with boundary conditions in the Sobolev space W^3_2[a,b]
|
2021
|
|
12
|
Секционен доклад, Румен Улучев, Weighted approximation by Kantorovich type modification of Meyer-König and Zeller operator
|
2019
|
|
13
|
Секционен доклад, Румен Улучев, Weighted approximation by Kantorovich type modification of Meyer-König and Zeller operator
|
2019
|
|
14
|
Секционен доклад, Румен Улучев, On the sharp constant in Hardy inequalities for a class of weighted polynomials and for finite sequences
|
2019
|
|
15
|
Секционен доклад, Румен Улучев, On Hardy L_2 inequality in certain finite dimensional spaces
|
2019
|
|
16
|
Секционен доклад, Румен Улучев, Weighted approximation of functions in L_p norm by Kantorovich type operators
|
2019
|
|
17
|
Секционен доклад, Румен Улучев, On Hardy L_2 inequality in certain finite dimensional spaces
|
2019
|
|
18
|
Секционен доклад, Румен Улучев, Bounds for the еxtreme zeros of Laguerre polynomials and Hermite polynomials
|
2018
|
|
19
|
Секционен доклад, Румен Улучев, Improved estimates for the best constant in a Markov L_2-inequality
|
2018
|
|
20
|
Секционен доклад, Румен Улучев, Bounds for the extreme zeros of the Laguerre polynomials
|
2018
|
|
21
|
Секционен доклад, Румен Улучев, New bounds for the extreme zeros of Laguerre polynomials
|
2018
|
|
22
|
Секционен доклад, Румен Улучев, Estimates for the best constant in a Markov L2-inequality with the assistance of computer algebra
|
2017
|
|
23
|
Секционен доклад, Румен Улучев, Estimates for the best constant in a Markov L2-inequality with the assistance of computer algebra
|
2017
|
|
24
|
Секционен доклад, Румен Улучев, Estimates for the best constant in a Markov L2-inequality with the assistance of computer algebra
|
2017
|
|
25
|
Секционен доклад, Румен Улучев, Finite Blaschke products in approximations
|
2016
|
|
26
|
Секционен доклад, Румен Улучев, Approximations using Radon projection data in the unit disc
|
2014
|
|
27
|
Секционен доклад, Румен Улучев, Interpolation and fitting by harmonic polynomials based on Radon projections
|
2013
|
|
28
|
Секционен доклад, Румен Улучев, B-splines. Applications. Generalizations
|
2013
|
|
29
|
Секционен доклад, Румен Улучев, Hermite interpolation using ERBS with trigonometric polynomial local functions and further investigations
|
2012
|
|
30
|
Секционен доклад, Румен Улучев, Hermite interpolation using ERBS with trigonometric polynomial local functions
|
2011
|
|
31
|
Секционен доклад, Румен Улучев, Interpolation in the unit disk based on Radon projections and function values
|
2010
|
|
32
|
Секционен доклад, Румен Улучев, Interpolation in the unit disk based on Radon projections and function values
|
2010
|
|
33
|
Секционен доклад, Румен Улучев, On interpolation in the unit disk based on both Radon projections and function values
|
2009
|
|
34
|
Секционен доклад, Румен Улучев, On interpolation and smoothing by bivariate polynomials using line integrals
|
2008
|
|
35
|
Секционен доклад, Румен Улучев, Surface reconstruction and Lagrange basis polynomials
|
2007
|
|
36
|
Секционен доклад, Румен Улучев, Surface and image reconstruction using Radon projections type of information
|
2007
|
|
37
|
Секционен доклад, Румен Улучев, Regular schemes for bivariate polynomial reconstruction based on Radon projections
|
2006
|
|
38
|
Секционен доклад, Румен Улучев, Smoothing of Radon type of data
|
2006
|
|
39
|
Секционен доклад, Румен Улучев, On a conjecture of polynomial zeros
|
2002
|
|
40
|
Секционен доклад, Румен Улучев, Smoothest interpolation with free nodes in W^r_p
|
1995
|
|
41
|
Секционен доклад, Румен Улучев, Geometric Birkhoff interpolation with parametric quadratic splines
|
1991
|
|
42
|
Секционен доклад, Румен Улучев, Smoothest interpolation
|
1989
|
|
43
|
Секционен доклад, Румен Улучев, On the critical points of a polynomial of third degree
|
1988
|
|
44
|
Секционен доклад, Румен Улучев, A problem on Blashke products
|
1987
|
|
45
|
Секционен доклад, Румен Улучев, Интерполиране с непрекъснати дроби във възли с кратности
|
1984
|
|