SOME INEQUALITIES BETWEEN THE BEST SIMULTANEOUS APPROXIMATION AND MODULUS OF CONTINUITY IN THE WEIGHTED BERGMAN SPACE

Some inequalities between the best simultaneous approximation of functions and their intermediate derivatives, and the modulus of continuity in a weighted Bergman space are obtained. When the weight function is \(\gamma(\rho)=\rho^\alpha,\) \(\alpha>0\), some sharp inequalities between the best s...

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Bibliographic Details

Published in:	Ural Mathematical Journal
Main Author:	Muqim S. Saidusainov
Format:	Article
Language:	English
Published:	Ural Branch of the Russian Academy of Sciences and Ural Federal University named after the first President of Russia B.N.Yeltsin, Krasovskii Institute of Mathematics and Mechanics 2023-12-01
Subjects:	the best simultaneous approximation, modulus of continuity, upper bound, \(n\)-widths
Online Access:	https://umjuran.ru/index.php/umj/article/view/647