Лозко Божинов Милев

Лозко Божинов Милев

Доцент
Доктор
Имейл: 
milev@fmi.uni-sofia.bg
Телефон: 
8161-506
Кабинет: 
ФМИ-218
Приемно време: 


Последни публикации

  1. L. Milev, A note on Schur's
    theorem, Facta Universitatis, Ser. Math. Inform. 9 (1994), 43-49.
  2. L. Milev, G. Nikolov, On the
    inequality of I. Schur, J. Math. Anal. Appl. 216 (1997), 421-437.
  3. L. Milev, An inequality of
    Schur's type, Approx. Theory & its Appls. 14 (1998), 56-63.
  4. L. Milev, Weighted polynomial
    inequalities on infinite intervals, East J. Approx. 5 (1999), 449-465.
  5. L. Milev, Gaussian quadrature
    formulae for periodic ET-systems, C. R. Acad. Bulg. Sci. 54 (2001), 13-18.
  6. L. Milev, A weighted Markov's
    inequality on the real line, in "Constructive Theory of
    Functions", Varna 2002 (B. Bojanov Ed.), pp. 362-365, DARBA, Sofia,
    2003.
  7. L. Milev, N. Naidenov, Markov's
    inequalities in integral norm for oscillating weighted polynomials, in
    "Approximation Theory: A volume dedicated to Borislav Bojanov"
    (D. K. Dimitrov, G. Nikolov, and R. Uluchev, Eds.), pp. 176-185, Marin
    Drinov Academic Publishing House, Sofia, 2004.
  8. L. B. Milev, Sz. Gy. Revesz,
    Bernstein's inequality for multivariate polynomials on the standard
    simplex, J. Ineq. and Appls. 2005:2 (2005), 145-163.   
  9. L. Milev, N. Naidenov, An
    extension of the Markov inequality for the Laguerre weight, East J.
    Approx. 11 (2005), 109-118.
  10. L. Milev, N. Naidenov, Exact
    Markov inequalities for the Hermite and Laguerre weights, J. Approx.
    Theory 138 (2006), 87-96.
  11. L. Milev, N. Naidenov, Weighted
    Markov inequalities on infinite intervals, in "Constructive Theory of
    Functions", Varna 2005 (B. Bojanov Ed.), pp. 187-193, Marin Drinov
    Academic Publishing House, Sofia, 2006.
  12. L. Milev, Numerical computation
    of the Markov factors for the systems of polynomials with the Hermite and
    Laguerre weights, in "Numerical Methods and Applications" (T.
    Boyanov, S. Dimova, K. Georgiev, and G. Nikolov, Eds.),  pp. 386-393,
    Lecture Notes in Computer Science, v. 4310, Springer-Verlag Berlin
    Heidelberg, 2007.
  13. L. Milev, N. Naidenov, An
    extension of the Markov inequality for the Hermite weight, East J. Approx.
    13 (2007), 77-103.
  14. L. Milev, N. Naidenov,
    Monotonicity of the zeros and the extremal points of certain oscillating
    polynomials, C. R. Acad. Bulg. Sci., 60 (2007), 111-116.
  15. L. Milev, N. Naidenov, Strictly
    definite extreme points of the unit ball in a polynomial space, C. R.
    Acad. Bulg. Sci. 61 (2008), 1393-1400.
  16. L. Milev, N. Naidenov, Markov
    interlacing property for exponential polynomials, J. Math. Anal. Appl. 367
    (2010), 669-676.
  17. L. Milev, N. Naidenov, Strictly
    definite extreme points of the unit ball in a polynomial space, abstract
    of a talk presented in 9th International Conference on Geometry and
    Applications, Varna 2009, J. Geometry 97 (2010), 138-139.
  18. L. Milev, N. Naidenov,
    Indefinite Extreme Points in a Set of Quadratic Bivariate
    Polynomials, in "120 Years Faculty of Mathematics and
    Informatics, St. Kliment Ohridski University of Sofia", Proceedings,
    pp. 249-250, St. Kliment Ohridski University Press, Sofia, 2011.
  19. L. Milev, N. Naidenov,
    Indefinite extreme points of the unit ball in a polynomial space, Acta
    Sci. Math. (Szeged), 77 (2011), 409-424.
  20. L. Milev, N. Naidenov,
    Interlacing Properties of Certain Tchebysheff Systems, in
    "Constructive Theory of Functions, Sozopol 2010: In memory of
    Borislav Bojanov" (G. Nikolov and R. Uluchev, Eds.), pp. 192-200,
    Prof. Marin Drinov Academic Publishing House, Sofia, 2012.
  21. L. Milev, N. Naidenov, Markov
    Type Inequalities for Oscillating Exponential Polynomials, in
    "Constructive Theory       
    of  Functions, Sozopol 2010: In memory of Borislav Bojanov"
    (G. Nikolov and R. Uluchev, Eds.), pp. 201-212, Prof. Marin Drinov
    Academic Publishing House, Sofia, 2012.
  22. L. Milev, N. Naidenov,
    Semidefinite extreme points of the unit ball in a polynomial space, J.
    Math. Anal. Appl. 405 (2013), 631-641.
  23. L. Milev, Semidefinite Extreme
    Points in a Polynomial Space, in: "Constructive Theory of
    Functions, Sozopol 2013: Dedicated to Blagovest Sendov and Vasil
    Popov" (K. Ivanov, G. Nikolov and R. Uluchev, Eds.), pp. 155-164,
    Prof. Marin Drinov Academic Publishing House, Sofia, 2014.
  24. Л. Милев, Н. Найденов, С.
    Ревес, Оценки за производните на полиноми върху стандартния симплекс, в:
    "Юбилейна научна конференция 125 години математика и природни науки в
    Софийския университет "Св. Климент Охридски"", стр. 53-55,
    Университетско издателство "Св. Климент Охридски", София, 2014.

Образование и научни степени

  • 2000 - Образователна и научна степен ,,Доктор’’, СУ ,,Св. Климент Охридски’’

Научни интереси

  • Теория на апроксимациите
  • Екстремални задачи за полиноми и Чебишеви системи
  • Многомерни задачи

Научни проекти

  1. Договор ДДВУ 02/30 "Съвременни методи в теория на апроксимациите" с НФНИ на МОМН.
  2. Договор "Апроксимации и числени методи" с ФНИ на СУ "Св. Кл. Охридски".

Преподавателска дейност

Зимен семестър 2015/2016

  • Лекции и упражнения по ,,Числени методи на линейната алгебра’’
    Спец. ,,Статистика’’, 3 курс
  • Лекции по ,,Сплайн-функции’’ (изборен курс)
    Спец. ,,Приложна математика’’, ,,Информатика’’,  ,,Компютърни науки’’ и маг. програма ИМММ

Списък с публикации

  1. L. Milev, A note on Schur's
    theorem, Facta Universitatis, Ser. Math. Inform. 9 (1994), 43-49.
  2. L. Milev, G. Nikolov, On the
    inequality of I. Schur, J. Math. Anal. Appl. 216 (1997), 421-437.
  3. L. Milev, An inequality of
    Schur's type, Approx. Theory & its Appls. 14 (1998), 56-63.
  4. L. Milev, Weighted polynomial
    inequalities on infinite intervals, East J. Approx. 5 (1999), 449-465.
  5. L. Milev, Gaussian quadrature
    formulae for periodic ET-systems, C. R. Acad. Bulg. Sci. 54 (2001), 13-18.
  6. L. Milev, A weighted Markov's
    inequality on the real line, in "Constructive Theory of
    Functions", Varna 2002 (B. Bojanov Ed.), pp. 362-365, DARBA, Sofia,
    2003.
  7. L. Milev, N. Naidenov, Markov's
    inequalities in integral norm for oscillating weighted polynomials, in
    "Approximation Theory: A volume dedicated to Borislav Bojanov"
    (D. K. Dimitrov, G. Nikolov, and R. Uluchev, Eds.), pp. 176-185, Marin
    Drinov Academic Publishing House, Sofia, 2004.
  8. L. B. Milev, Sz. Gy. Revesz,
    Bernstein's inequality for multivariate polynomials on the standard
    simplex, J. Ineq. and Appls. 2005:2 (2005), 145-163.   
  9. L. Milev, N. Naidenov, An
    extension of the Markov inequality for the Laguerre weight, East J.
    Approx. 11 (2005), 109-118.
  10. L. Milev, N. Naidenov, Exact
    Markov inequalities for the Hermite and Laguerre weights, J. Approx.
    Theory 138 (2006), 87-96.
  11. L. Milev, N. Naidenov, Weighted
    Markov inequalities on infinite intervals, in "Constructive Theory of
    Functions", Varna 2005 (B. Bojanov Ed.), pp. 187-193, Marin Drinov
    Academic Publishing House, Sofia, 2006.
  12. L. Milev, Numerical computation
    of the Markov factors for the systems of polynomials with the Hermite and
    Laguerre weights, in "Numerical Methods and Applications" (T.
    Boyanov, S. Dimova, K. Georgiev, and G. Nikolov, Eds.),  pp. 386-393,
    Lecture Notes in Computer Science, v. 4310, Springer-Verlag Berlin
    Heidelberg, 2007.
  13. L. Milev, N. Naidenov, An
    extension of the Markov inequality for the Hermite weight, East J. Approx.
    13 (2007), 77-103.
  14. L. Milev, N. Naidenov,
    Monotonicity of the zeros and the extremal points of certain oscillating
    polynomials, C. R. Acad. Bulg. Sci., 60 (2007), 111-116.
  15. L. Milev, N. Naidenov, Strictly
    definite extreme points of the unit ball in a polynomial space, C. R.
    Acad. Bulg. Sci. 61 (2008), 1393-1400.
  16. L. Milev, N. Naidenov, Markov
    interlacing property for exponential polynomials, J. Math. Anal. Appl. 367
    (2010), 669-676.
  17. L. Milev, N. Naidenov, Strictly
    definite extreme points of the unit ball in a polynomial space, abstract
    of a talk presented in 9th International Conference on Geometry and
    Applications, Varna 2009, J. Geometry 97 (2010), 138-139.
  18. L. Milev, N. Naidenov,
    Indefinite Extreme Points in a Set of Quadratic Bivariate
    Polynomials, in "120 Years Faculty of Mathematics and
    Informatics, St. Kliment Ohridski University of Sofia", Proceedings,
    pp. 249-250, St. Kliment Ohridski University Press, Sofia, 2011.
  19. L. Milev, N. Naidenov,
    Indefinite extreme points of the unit ball in a polynomial space, Acta
    Sci. Math. (Szeged), 77 (2011), 409-424.
  20. L. Milev, N. Naidenov,
    Interlacing Properties of Certain Tchebysheff Systems, in
    "Constructive Theory of Functions, Sozopol 2010: In memory of
    Borislav Bojanov" (G. Nikolov and R. Uluchev, Eds.), pp. 192-200,
    Prof. Marin Drinov Academic Publishing House, Sofia, 2012.
  21. L. Milev, N. Naidenov, Markov
    Type Inequalities for Oscillating Exponential Polynomials, in
    "Constructive Theory       
    of  Functions, Sozopol 2010: In memory of Borislav Bojanov"
    (G. Nikolov and R. Uluchev, Eds.), pp. 201-212, Prof. Marin Drinov
    Academic Publishing House, Sofia, 2012.
  22. L. Milev, N. Naidenov,
    Semidefinite extreme points of the unit ball in a polynomial space, J.
    Math. Anal. Appl. 405 (2013), 631-641.
  23. L. Milev, Semidefinite Extreme
    Points in a Polynomial Space, in: "Constructive Theory of
    Functions, Sozopol 2013: Dedicated to Blagovest Sendov and Vasil
    Popov" (K. Ivanov, G. Nikolov and R. Uluchev, Eds.), pp. 155-164,
    Prof. Marin Drinov Academic Publishing House, Sofia, 2014.
  24. Л. Милев, Н. Найденов, С.
    Ревес, Оценки за производните на полиноми върху стандартния симплекс, в:
    "Юбилейна научна конференция 125 години математика и природни науки в
    Софийския университет "Св. Климент Охридски"", стр. 53-55,
    Университетско издателство "Св. Климент Охридски", София, 2014.