2021
HIGHER-ORDER MODULUS OF CONTINUITY AND BEST APPROXIMATION OF A FUNCTION IN BERGMAN SPACE
Authors: Tukhliev Dilshod Kamaridinovich - Teacher of the Department of Informatics and Computational Mathematics Science under Khujand State University named after academician B.G.Gafurov (Tajikistan Republic, Khujand)
JOURNAL NUMBER: 1(56). YEAR OF ISSUE: 2021.LANGUAGE OF THE ARTICLE: Russian
ANNOTATION
In this paper, we find some statements in the form of exact inequalities between the value of the best approximation of functions and averaged with weight the value of the continuity modulus of the r-th order of the derivative functions функции
KEY WORDS
modulus of continuity, upper bounds, best approximation, complex algebraic polynomials, Bergman space.