Department of Theory of Functions
History of the Department

The Department was found in 1963. Its first Head was Corresponding Member of NAS of Ukraine V.K.DZYADYK. From 1990 to 2007 the Department was managed by Corresponding Member of NAS of Ukraine A.I.STEPANETS. From 2007 the Head of the Department - Doctor of Sciences ProfessorAnatoly ROMANYUK.

Doctors of Sciences worked at the Department

Corresponding Member of NAS of Ukraine Vladislav DZYADYK
(1919-1998)

Vladislav DZYADYK
Honoured Science and Technology Worker of Ukraine (1991), Laureate of M.M.Krylov Prize of NAS of Ukraine (1991). Author of scientific papers on approximation theory of functions and its applications to differential equations and numerical mathematics, among them monographs:
  1. ДЗЯДЫК В.К. Введение в теорию равномерного приближения функций полиномами . - Москва: Наука, 1977. - 512 с.
  2. ДЗЯДЫК В.К. Аппроксимационные методы решения дифференциальных и интегральных уравнений . - Киев: Наук.думка, 1988. - 304 с.
  3. ДЗЯДИК В.К. Математичний аналіз. Том 1 . - Київ: Вища школа, 1995. - 495 с.
  4. ANDRIEVSKII V.V., BELYI V.I., DZJADYK V.K. Conformal invariants in constructive theory of functions of complex variable . - Athlanta: World Federation Publishers, 1995. - 199 p.
  5. DZYADYK V.K. Approximation methods for solutions of differential and integral equations . - Utrecht: VSP, 1995. - 325 p.
  6. АНДРИЕВСКИЙ В.В., БЕЛЫЙ В.И., ДЗЯДЫК В.К. Конформные инварианты в конструктивной теории функций комплексного переменного . - Киев: Наук.думка, 1998. - 224 с.
  7. DZJADYK V.K., SHEVCHUK I.A. Theory of Uniform Approximation of Functions by Polynomials . - Walter De Gruyter, 2008. - 480 с.

Corresponding Member of NAS of Ukraine Eugeny REMEZ
(1896-1975)

Eugeny REMEZ
Author of scientific papers on constructive theory of functions, numerical analysis, history of mathematics, among them monographs:
  1. РЕМЕЗ Є.Я. Про методи найкращого, в розумінні Чебишова, наближеного представлення функцій . - Київ: Вид-во ВУАН, 1935. - 162 с.
  2. РЕМЕЗ Є.Я. Вступ до математичного аналізу . - Київ: Рад.школа, 1952. - 226 с.
  3. РЕМЕЗ Є.Я. Общие вычислительные методы чебышевского приближения . - Киев: Изд-во АН УССР, 1957. - 454 с.
  4. РЕМЕЗ Є.Я. Основы численных методов чебышевского приближения . - Киев: Наук.думка, 1969. - 623 с.

Corresponding Member of NAS of Ukraine Alexander STEPANETS
(1942-2007)

Alexander STEPANETS
Honoured Science and Technology Worker of Ukraine (2002), Laureate of Republican N.Ostrowsky Prize (1974), M.V.Ostrogradsky Prize of NAS of Ukraine (2000), M.M.Krilov Prize of NAS of Ukraine (2007). Author of scientific papers on theory of functions of real and complex variable, harmonic analysis and theory of Fourier series, among them monographs:
  1. СТЕПАНЕЦ А.И. Равномерные приближения тригонометрическими полиномами . - Киев: Наук.думка, 1981. - 340 с.
  2. СТЕПАНЕЦ А.И. Классификация и приближение периодических функций . - Киев: Наук.думка, 1987. - 268 с.
  3. STEPANETS A.I. Classification and approximation of periodic functions . - Dordrecht, Boston, London: Kluwer Acad.Publ., 1995. - 360 p.
  4. STEPANETS A.I. Uniform approximations by trigonometric polynomials . - Utrecht: VSP, 2001. - 483 p
  5. СТЕПАНЕЦ А.И. Методы теории приближений. В 2-х томах . - Киев: Ин-т математики НАН Украины, 2002. - 427+468 с.
  6. STEPANETS A.I. Methods of Approximation Theory . - VSP: Leiden, Boston, 2005. - 919 p.
  7. СТЕПАНЕЦ А.И., РУКАСОВ В.И., ЧАЙЧЕНКО С.О. Приближения суммами Валле Пуссена . - Киев: Ин-т математики НАН Украины, 2007. - 385 с.

Igor SHEVCHUK
(b.1947)

Igor SHEVCHUK
Laureate of Republican N.Ostrowsky Prize (1980) and M.M.Krylov Prize of NAS of Ukraine (1991). Author of scientific papers on approximation theory of functions, among them monographs:
  1. ШЕВЧУК И.А. Приближение многочленами и следы непрерывных на отрезке функций . - Киев: Наук.думка, 1992. - 224 с.
  2. DZJADYK V.K., SHEVCHUK I.A. Theory of Uniform Approximation of Functions by Polynomials . - Walter De Gruyter, 2008. - 480 с.
From 1998 he works as the Head of the Department of Mathematical Analysis at the Mechanical and Mathematical Faculty of the Kiev National Taras Shevchenko University.

Viktor KONOVALOV
(1946-2008)

Viktor KONOVALOV
Laureate of Republican N.Ostrowsky Prize (1980) and M.M.Krylov Prize of NAS of Ukraine (1991). Author of scientific papers on approximation theory of functions of several variables.

Petro ZADEREI
(b.1948)

Petro ZADEREI
Author of scientific papers on theory of functions and approximation theory of functions. Now he works in Kiev National University of Technologies and Design.

Yury MELNIK
(1947-1993)

Yury MELNIK
Author of scientific papers on theory of functions of real and complex variable, representation theory of regular functions by series of exponents.

Alexander KUSHPEL
(b.1958)

Alexander KUSHPEL
Laureate of International M.P.Kravchuk Prize. Author of scientific papers on theory of functions and approximation theory of functions.

Anatoly ROMANYUK
(b.1955)

Anatoly ROMANYUK
The Head of the Department from 2007. Laureate of M.G.Krein Prize of NAS of Ukraine (2014). Author of scientific papers on approximation theory of classes of periodic functions of several variables, among them monograph:
  1. РОМАНЮК А.С. Аппроксимативные характеристики классов периодических функций многих пременных . - Киев: Ин-т математики НАН Украины, 2012. - 352 с.

Anatoly SERDYUK
(b.1968)

Anatoly SERDYUK
Author of scientific papers on approximation theory of periodic functions.

Andrew BAKAN
(b.1961)

Andrew BAKAN
Author of scientific papers on theory of functions and convex analysis.

Anatoly GOLUB
(b.1956)

Anatoly GOLUB
Author of scientific papers on theory of rational approximation, among them monograph:
  1. ГОЛУБ А.П. Узагальнені моментні зображення та апроксимації Паде . - Київ: Ін-т математики НАН України, 2002. - 222 с.
From 2011 he works in the Department of Numerical Mathematics of the Institute of Mathematics of NAS of Ukraine.

Viktor SAVCHUK
(b.1973)

Viktor SAVCHUK

Author of scientific papers on approximation theory of functions of complex variable.

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