HIGHER-ORDER MODULUS OF CONTINUITY AND BEST APPROXIMATION OF A FUNCTION IN BERGMAN SPACE

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Download this file (1. Тухлиев Дилшод Камаридинович.pdf)Tukhliev D. K.HIGHER-ORDER MODULUS OF CONTINUITY AND BEST APPROXIMATION OF A FUNCTION IN BERGMAN SPACE34

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 ISSUE2021.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.