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Научни приноси на доц. д-р Никола Найденов

Author ID (SCOPUS):22938291300

Researcher ID (Web of Science):A-7974-2019

ORCID ID:0000-0001-7303-6387
Научен проект
1 Никола Найденов, Теория на апроксимациите и приложения, Ръководител, СУ, Номер на договора:80-10-111/13.05.2022 2022
2 Никола Найденов, Някои задачи в теория на апроксимациите, Член, СУ, Номер на договора:80-10-20/22.03.2021 2021
3 Никола Найденов, Апроксимации, числени методи и приложения, Член, СУ 2020
4 Никола Найденов, Числени методи и апроксимации, Член, СУ, Номер на договора:80-10-17/2019 2019
5 Никола Найденов, Апроксимации и числени методи, Ръководител, СУ, Номер на договора:80-10-139/25.04.2018 2018
6 Никола Найденов, Числени методи и апроксимации, Член, СУ, Номер на договора:80.10-11/2017 2017
7 Никола Найденов, Числен анализ и апроксимации, Ръководител, , Номер на договора:111 2014
8 Никола Найденов, Апроксимации и числени методи, Член, , Номер на договора:106 2013
9 Никола Найденов, Числен анализ, Член, СУ, Номер на договора:181 2012
10 Никола Найденов, Апроксимации и числени методи, Ръководител, СУ, Номер на договора:154 2011
11 Никола Найденов, Съвременни методи в теория на апроксимациите, Член, МОМН, Номер на договора:DDVU-02/30 2011
12 Никола Найденов, Апроксимации и числени методи, Член, СУ, Номер на договора:196 2010
13 Никола Найденов, Числени методи и апроксимации, Член, СУ, Номер на договора:39 2009
14 Никола Найденов, Числен анализ, Ръководител, СУ, Номер на договора:135 2008
15 Никола Найденов, Приближения на функции и функционали, Член, СУ, Номер на договора:78 2007
16 Никола Найденов, Интелигентни сензорни системи за повишаване на сигурността, Член, МОМН, Номер на договора:ВУ-МИ-204 2006
17 Никола Найденов, Числен анализ и приложения в научни изследвания, Член, СУ, Номер на договора:83 2006
18 Никола Найденов, Числени методи за научни и приложни задачи, Член, СУ, Номер на договора:121 2005
19 Никола Найденов, Екстремални задачи в теория на приближенията, Член, МОН, Номер на договора:ММ-1402/2004 2004
20 Никола Найденов, Теория на апроксимациите, Член, БАН - УАН, Номер на договора:5 2004
21 Никола Найденов, Числен анализ и приложения, Член, СУ, Номер на договора:160 2004
22 Никола Найденов, Да се уточни, Член, СУ, Номер на договора:399 2001
23 Никола Найденов, Оптимални методи за приближение, Член, МОН, Номер на договора:ММ-802 1998
Научно ръководство
Никола Найденов, Обобщени авторегресионни сплайн модели и приложението им в икономиката, СУ "Св. Климент Охридски" дисертация д-р:Савка Рачева Костадинова 2014
Статия в научно списание
1 Nikola Naidenov, Geno Nikolov, Estimates for the largest critical value of $T_n^{(k)}$, Constructive Approximation, vol:60, 2024, pages:87-103, ISSN (print):0176-4276, ISSN (online):1432-0940, doi:https://doi.org/10.1007/s00365-023-09651-3, Ref, IF, IF (2.78 - 2024), Web of Science Quartile: Q1 (19/330) 2024
2 N. Naidenov, Some New Representations of the Binet's Function Involving Euler Sums, American Review of Mathematics and Statistics, vol:10, 2022, pages:34-49, ISSN (print):2374-2348, ISSN (online): 2374-2356 2022
3 Lozko Milev, Nikola Naidenov, Sharp estimates for the zeros of the derivative of oscillating polynomials with Laguerre weight , Mathematical Inequalities & Applications, vol:23, issue:2, 2020, pages:509-519, ISSN (print):1331-4343, ISSN (online):1848-9966, doi:doi: 10.7153/mia-2020-23-42, Ref, Web of Science, IF (1.25 - 2020), Web of Science Quartile: Q2 (108/330 Mathematics, 2020 JCR-WoS), SCOPUS, SJR (0.696 - 2020), SCOPUS Quartile: Q2 (181/616 Applied Mathematics, 2020 SJR-Scopus), MathSciNet(MR4089464) 2020
4 Nikola Naidenov, Geno Nikolov, Alexei Shadrin, On the largest critical value of $T_n^{(k)}$, SIAM Journal of Mathematical Analysis, vol:50, issue:3, 2018, pages:2389-2408, ISSN (print):0036-1410, ISSN (online):1095-7154, doi:DOI. 10.1137/17M1152413, Ref, IF, IF (1.334 - 2018), Web of Science Quartile: Q2 (2018), SCOPUS Quartile: Q1 (JCR (Mathematics, Applied, 2017), MathSciNet(MR3796368), International 2018
5 Naidenov, Nikola, Nikolov, Geno, N. Naidenov, ON THE LARGEST CRITICAL VALUE OF T-n((k)), SIAM JOURNAL ON MATHEMATICAL ANALYSIS, vol:50, issue:3, 2018, pages:2389-2408, ISSN (print):0036-1410, ISSN (online):1095-7154, doi:10.1137/17M1152413 2018
6 N. Naidenov, On the transformations of the logarithmic series, Annual of Sofia University “St. Kliment Ohridski”, Faculty of mathematics and informatics , vol:105, 2018, pages:3-44, ISSN (print): 1313-9215, ISSN (online): 2603-5529 2018
7 Milev, Lozko, N. Naidenov, SOME EXACT BERNSTEIN-SZEGO INEQUALITIES ON THE STANDARD TRIANGLE, MATHEMATICAL INEQUALITIES & APPLICATIONS, vol:20, issue:3, 2017, pages:815-824, ISSN (print):1331-4343, doi:10.7153/mia-20-51 2017
8 Lozko Milev, Nikola Naidenov, Some exact Berstein-Szegő inequalities on the standard triangle, Mathematical Inequalities & Applications, vol:20, issue:3, 2017, pages:815-824, ISSN (print):1331-4343, ISSN (online):1848-9966, doi:dx.doi.org/10.7153/mia-20-51, Ref, Web of Science, IF (0.649 - 2017), Web of Science Quartile: Q3 (176/310 Mathematics, 2017 JCR-WoS), SCOPUS, SJR (0.6 - 2017), SCOPUS Quartile: Q2 (197/532 Applied Mathematics, 2017 SJR-Scopus), MathSciNet(MR3653920) 2017
9 Kostadinova S.R., Naidenov N.G., Generalized Authoregressive Spline Model and Forecasting in Economics, East European Scientific Journal, vol:1, issue:4(4), 2015, pages:5-12, Ref 2015
10 Lozko Milev, Nikola Naidenov, Semidefinite extreme points of the unit ball in a polynomial space, Journal of Mathematical Analysis and Applications, vol:405, issue:2, 2013, pages:631-641, ISSN (print):0022-247X, ISSN (online):1096-0813, doi:doi.org/10.1016/j.jmaa.2013.04.026, Ref, Web of Science, IF (1.119 - 2013), Web of Science Quartile: Q1 (33/302 Mathematics, 2013 JCR-WoS), SCOPUS, SJR (1.362 - 2013), SCOPUS Quartile: Q1 (73/563 Applied Mathematics, 2013 SJR-Scopus), MathSciNet(MR3061039) 2013
11 Lozko Milev, Nikola Naidenov, Indefinite extreme points of the unit ball in a polynomial space, Acta Scientiarum Mathematicarum (Szeged), vol:77, issue:3-4, 2011, pages:409-424, ISSN (print):0001-6969, ISSN (online):2064-8316, Ref, IR , SCOPUS, SJR (0.331 - 2011), SCOPUS Quartile: Q3 (299/536 Applied Mathematics, 2011 SJR-Scopus), MathSciNet(MR2906511 ) 2011
12 N. Naidenov, Asymptotics for the derivatives of oscillating polynomials, East J. Approx, vol:16, 2010, pages:167-178, ISSN (print):1310-6236 , Ref, MathSciNet(MR2722581) 2010
13 Lozko Milev, Nikola Naidenov, Markov interlacing property for exponential polynomials, Journal of Mathematical Analysis and Applications, vol:367, issue:2, 2010, pages:669-676, ISSN (print):0022-247X, ISSN (online):1096-0813, doi:doi.org/10.1016/j.jmaa.2010.02.033, Ref, Web of Science, IF (1.174 - 2010), Web of Science Quartile: Q1 (33/279 Mathematics, 2010 JCR-WoS), SCOPUS, SJR (1.408 - 2010), SCOPUS Quartile: Q1 (64/495 Applied Mathematics, 2010 SJR-Scopus), Zentralblatt(Zbl 1201.41006) 2010
14 B. Bojanov, N. Naidenov, On oscillating polynomials, J. Approx. Theory, vol:162, 2010, pages:1766-1787, ISSN (print):0021-9045, ISSN (online):1096-0430, doi:doi.org/10.1016/j.jat.2010.04.009, Ref, IF, IF (1.579 - 2010), Web of Science Quartile: Q2 (2010), MathSciNet(MR2728045) 2010
15 Lozko Milev, Nikola Naidenov, Strictly definite extreme points of the unit ball in a polynomial space, Comptes rendus de lʼAcadémie bulgare des Sciences, vol:61, issue:11, 2008, pages:1393-1400, ISSN (print):1310-1331, ISSN (online):2367-5535, Ref, Web of Science, IF (0.152 - 2008), Web of Science Quartile: Q4 (36/42 Multidisciplinary Sciences, 2008 JCR-WoS), SCOPUS, SJR (0.193 - 2008), SCOPUS Quartile: Q2 (34/89 Multidisciplinary, 2008 SJR-Scopus), MathSciNet(MR2490668) 2008
16 Lozko Milev, Nikola Naidenov, An extension of the Markov inequality for the Hermite weight, East Journal on Approximations, vol:13, issue:1, 2007, pages:77-103, ISSN (print):1310-6236, ISSN (online):-, Ref, MathSciNet(MR2289639 ) 2007
17 Milev, L., N. Naidenov, Monotonicity of the zeroes and the extremal points of certain oscillating polynomials, COMPTES RENDUS DE L ACADEMIE BULGARE DES SCIENCES, vol:60, issue:2, 2007, pages:111-116, ISSN (print):1310-1331 2007
18 L. Milev, N. Naidenov, Monotonicity of the zeros and the extremal points of certain oscillating polynomials, Comptes rendus de lʼAcadémie bulgare des Sciences, vol:60, issue:2, 2007, pages:111-116, ISSN (print):1310-1331, ISSN (online):2367-5535, Ref, IF, IF (0.106 - 2007), Web of Science Quartile: Q4 (46/50) 2007
19 N. Naidenov, Note on Bernstein type inequalities for multivariate polynomials, Anal. Math., vol:33, 2007, pages:55-62, ISSN (print):0133-3852, Ref, MathSciNet(MR2312941) 2007
20 Lozko Milev, Nikola Naidenov, Exact Markov inequalities for the Hermite and Laguerre weights, Journal of Approximation Theory, vol:138, issue:1, 2006, pages:87-96, ISSN (print):0021-9045, ISSN (online):1096-0430, doi:doi.org/10.1016/j.jat.2005.09.018, Ref, Web of Science, IF (0.5 - 2006), Web of Science Quartile: Q3 (94/187 Mathematics, 2006 JCR-WoS), SCOPUS, SJR (0.936 - 2006), SCOPUS Quartile: Q2 (11/35 Numerical Analysis, 2006 SJR-Scopus), MathSciNet(MR2197604 ) 2006
21 B. Bojanov, N. Naidenov, Majorization of polynomials on the plane, East J. on Approx., 12, (2006), 189-202., vol:12, 2006, pages:189-202, ISSN (print):1310-6236, Ref, MathSciNet(MR2242667) 2006
22 Lozko Milev, Nikola Naidenov, An extension of the Markov inequality for the Laguerre weight, East Journal on Approximations, vol:11, issue:2, 2005, pages:109-118, ISSN (print):1310-6236, ISSN (online):-, Ref, MathSciNet(MR2151610 ) 2005
23 N. Naidenov, Estimates for the derivatives of oscillating polynomials, East J. on Approx., 11, 3 (2005), 301-336., vol:11, issue:3, 2005, pages:301-336, Ref, MathSciNet(MR2168919 ) 2005
24 B. Bojanov, N. Naidenov, Alternation property and Markov’s inequality for Tchebycheff systems, East J. on Approx., 10, 4 (2004), 481-503., vol:10, issue:4, 2004, pages:481-503, Ref, MathSciNet(MR2101505) 2004
25 N. Naidenov, Landau-type extremal problem for the triple ||f||∞, ||f'||p, ||f''||∞ on a finite interval, J. Approx. Theory., vol:123, 2003, pages:147-161, doi:doi.org/10.1016/S0021-9045(03)00081-9, Ref, IF, IF (0.528 - 2003), Web of Science Quartile: Q2 (2003), MathSciNet(MR1990093) 2003
26 N. Naidenov, Landau-type extremal problem for the triple vertical bar vertical bar f vertical bar vertical bar(infinity), vertical bar vertical bar f 'vertical bar vertical bar(p), vertical bar vertical bar f ''vertical bar vertical bar(infinity) on a finite interval, JOURNAL OF APPROXIMATION THEORY, vol:123, issue:2, 2003, pages:147-161, ISSN (print):0021-9045, doi:10.1016/S0021-9045(03)00081-9 2003
27 N. Naidenov, On an extremal problem of Kolmogorov type for functions from W4∞ ([a, b]), East J. on Approx., vol:9, issue:1, 2003, pages:117-135, Ref, MathSciNet(MR1975073) 2003
28 B. Bojanov, N. Naidenov, Exact Markov type inequalities for oscillating perfect splines, Constr. Approx., vol:18, 2002, pages:37-59, doi:doi.org/10.1016/j.jat.2005.09.018, Ref, IF, IF (0.845 - 2002), Web of Science Quartile: Q1 (2002), MathSciNet(MR1866379) 2002
29 B. Bojanov, N. Naidenov, Examples of Landau Kolmogorov inequality in integral norms on a finite interval, J. Approx. Theory., vol:117, 2002, pages:55-73, doi:doi.org/10.1006/jath.2002.3687, Ref, IF, IF (0.425 - 2002), Web of Science Quartile: Q2 (2002), MathSciNet(MR1920119) 2002
30 Bojanov, B, N. Naidenov, An extension of the Landau-Kolmogorov inequality, solution of a problem of Erdos, JOURNAL D ANALYSE MATHEMATIQUE, vol:78, 1999, pages:263-280, ISSN (print):0021-7670 1999
31 B. Bojanov, N. Naidenov, An extension of the Landau-Kolmogorov inequality. Solution of a problem of Erdős, J. Analyze Math., vol:78, 1999, pages:263-280, doi:DOI: 10.1007/BF02791137, Ref, IF, IF (0.256 - 1999), Web of Science Quartile: Q3 (1999), MathSciNet(MR1714429) 1999
32 N. Naidenov, Algorithm for the construction of the smoothest interpolant, East J. Approx., vol:1, issue:1, 1995, pages:83-97, Ref, MathSciNet(MR1404344) 1995
Статия в поредица
1 Lozko Milev, Nikola Naidenov, An Inequality for Polynomials on the Standard Simplex, Lecture Notes in Computer Science, vol:Numerical Methods and Applications, Borovets 2022, issue:13858, editor/s:I. Georgiev, M. Datcheva, K. Georgiev, G. Nikolov, Publisher:Springer Nature Switzerland AG, 2023, pages:221-232, ISSN (print):0302-9743, ISSN (online):1611-3349, ISBN:978-3-031-32411-6, doi:doi.org/10.1007/978-3-031-32412-3, Ref, IR , SCOPUS, SJR (0.32 - 2022), SCOPUS Quartile: Q3 (176/326 Comp. Science (misc.), 2022 SJR - Scopus), MathSciNet(MR4596953) 2023
2 N. Naidenov, On the calculation of the Bernstein-Szegő factor for multivariate polynomials, Lecture Notes in Computer Sciences, vol:Proc. Conf. "NMA 2006", issue:4310, Publisher:Springer-Verlag (Berlin Heidelberg), 2007, pages:410-418, ISSN (print):0302-9743 , ISSN (online):1611-3349, ISBN:978-3-540-70940-4, Ref, IR , SCOPUS, SJR (0.338 - 2011) 2007
3 Lozko Milev, Nikola Naidenov, Markov's Inequalities in Integral Norm for Oscillating Weighted Polynomials, Approximation Theory, vol:Approximation Theory: A Volume Dedicated to Borislav Bojanov, editor/s:D. K. Dimitrov, G. Nikolov, and R. Uluchev, Publisher:Prof. Marin Drinov Academic Publishing House, Sofia, 2004, pages:176-185, ISBN:954-322-038-7, Ref, MathSciNet(MR2117086 ) 2004
Статия в сборник (на конференция и др.)
1 Lozko Milev, Nikola Naidenov, Further Results on the Zeros of the Derivative of Oscillating Polynomials with Laguerre Weight, Constructive Theory of Functions, Sozopol 2019, editor/s:B. Draganov, K. Ivanov, G. Nikolov and R. Uluchev, Publisher:Prof. Marin Drinov Publishing House of Bulgarian Academy of Sciences, Sofia, 2020, pages:147-155, ISBN:978-619-245-060-1, Ref, MathSciNet(MR4184928) 2020
2 Lozko Milev, Nikola Naidenov, An Exact Pointwise Markov Inequality on the Standard Triangle, Constructive Theory of Functions, Sozopol 2016, editor/s:K. Ivanov, G. Nikolov and R. Uluchev, Publisher:Prof. Marin Drinov Academic Publishing House, Sofia, 2018, pages:187-205, ISBN:978-954-322-931-4, Ref, MathSciNet(MR3823643) 2018
3 S. Harizanov, D. Dimov, N. Naidenov, S. Kostadinova, Multi-frame Denoising of Still Images, 120-th European Study Group with Industry (ESGI'120), July 25 - 29, 2016, Sofia, Bulgaria, Problems & Final Reports, 2016, pages:31-54, ISBN:978-619-7223-31-6 2016
4 Dragomir Aleksov, Maria Paskova, Nikola Naidenov, Pencho Marinov, Spline Intersection Improvement, 113th European Study Group with Industry ESGI'113 September 14 - 18, 2015, Sofia, Bulgaria, Problems and Final Reports, editor/s:FASTUMPRINT, Sofia, Bulgaria, 2015, pages:29-39, ISBN:978-619-72-23-12-5, MSc 2015
5 Nikola Naidenov, On the path-connectedness of the set of extreme points in a polynomial space, Constructive Theory of Functions, Sozopol 9-14, 2013:, editor/s:G. Nikolov and R. Uluchev, Publisher:Prof. Marin Drinov Academic Publishing House, Sofia, 2014, pages:165-174, ISBN:978-954-322-811-9, Ref, MathSciNet(MR3823626) 2014
6 Лозко Милев, Никола Найденов, Силард Ревес, Оценки за производните на полиноми върху стандартния симплекс, Юбилейна научна конференция "125 години математика и природни науки в Софийския университет "Св. Климент Охридски"", Сборник с резюмета, издателство:Университетско издателство "Св. Климент Охридски", 2014, стр.:53-55, ISSN (print):1313-9045, в сътрудничество с чуждестранни учени 2014
7 Savka Kostadinova, Nikola Naidenov, ARCH models – use in economics , международната конференция “Informatics in the scientific knowledge”, Варна 2012, 2012, pages:43-56, ISSN (print):ISSN 1313–4345, PhD 2012
8 Lozko Milev, Nikola Naidenov, Interlacing Properties of Certain Tchebycheff Systems, Constructive Theory of Functions, Sozopol 2010: In memory of Borislav Bojanov, editor/s:G. Nikolov and R. Uluchev, Publisher:Prof. Marin Drinov Academic Publishing House, Sofia, 2012, pages:192-200, ISBN:978-954-322-490-6, Ref, MathSciNet(MR3051110 ) 2012
9 Lozko Milev, Nikola Naidenov, Markov Type Inequalities for Oscillating Exponential Polynomials, Constructive Theory of Functions, Sozopol 2010: In memory of Borislav Bojanov, editor/s:G. Nikolov and R. Uluchev, Publisher:Prof. Marin Drinov Academic Publishing House, Sofia, 2012, pages:201-212, ISBN:978-954-322-490-6, Ref, MathSciNet(MR3051111) 2012
10 Lozko Milev, Nikola Naidenov, Indefinite Extreme Points in a Set of Quadratic Bivariate Polynomials, Scientific Session 120 years Faculty of Mathematics and Informatics, 24.09.2009, Publisher:St. Kliment Ohridski University Press, 2011, pages:249-250, ISSN (print):1313-9045, Ref, MathSciNet(MR3410079 ) 2011
11 Naidenov N., Kostadinova S., Approximation of irregular data in R^3 by bicubic splines with uniform knots, Международна конференция "INFORMATICS IN THE SCIENTIFIC KNOWLEDGE 2010 “, VFU “Chernorizets Hrabar”, Varna, Bulgaria, 2010, pages:86-97, PhD 2010
12 N. Naidenov, Naidenov, Nikola, On the calculation of the Bernstein-Szego factor for multivariate polynomials, Numerical Methods and Applications, vol:4310, 2007, pages:410-418, ISSN (print):0302-9743, ISBN:978-3-540-70940-4 2007
13 N. Naidenov, On the Markov inequality for Tchebycheff systems, Proc. Conf. "Constructive Theory of Functions", Varna 2005, editor/s:B. D. Bojanov, Publisher:Marin Drinov Acad. Publ. House, Sofia, 2006, pages:194-200 2006
14 Lozko Milev, Nikola Naidenov, Weighted Markov Inequalities on Infinite Intervals, Constructive Theory of Functions, Varna 2005, editor/s:B. D. Bojanov, Publisher:Marin Drinov Academic Publishing House, Sofia, 2006, pages:187-193, ISBN:978-954-322-144-8 2006
Участие в конференция
1 Секционен доклад, Никола Найденов, An Inequality for Polynomials on the Standard Simplex 2022
2 Секционен доклад, Никола Найденов, Ефективни методи за пресмятане дзета функцията 2021
3 Секционен доклад, Никола Найденов, Further results on the zeros of the derivative of oscillating polynomials with Laguerre weight 2019
4 Секционен доклад, Никола Найденов, New estimates for the critical points of oscillating polynomials with Laguerre weight 2019
5 Секционен доклад, Никола Найденов, Някои свойства на нулите на осцилиращи полиноми 2017
6 Секционен доклад, Никола Найденов, On the Largest Critical Value of T_n^{(k)} 2017
7 Секционен доклад, Никола Найденов, Some exact inequalities for polynomials on the standard triangle 2016
8 Секционен доклад, Никола Найденов, Изглаждане на данни с кубични и бикубични сплайн функции 2013
9 Секционен доклад, Никола Найденов, On the path-connectedness of the set of extreme points in certain polynomial spaces 2013
10 Секционен доклад, Никола Найденов, On the path-connectedness of the set of extreme points in a polynomial space 2013
11 Секционен доклад, Никола Найденов, Нови резултати за крайни точки на единичното кълбо в полиномиални пространства 2012
12 Секционен доклад, Никола Найденов, Bicubic spline recovering of smooth surfaces on the basis of irregular data 2010
13 Секционен доклад, Никола Найденов, Markov type inequalities for oscillating exponential polynomials 2010
14 Секционен доклад, Никола Найденов, Indefinite extreme points of the unit ball in a polynomial space 2009
15 Секционен доклад, Никола Найденов, Properties of the derivatives of oscillating polynomials 2008
16 Секционен доклад, Никола Найденов, On the calculation of the Bernstein-Szego factor for multivariate polynomials 2006