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Jackson–Stechkin Type Inequalities between the Best Polynomial Approximations and Generalized Moduli of Continuity in the Weighted Bergman Space \(\mathscr{B}_{2,\gamma}\)

  • M. R. Langarshoev

摘要

Abstract

We obtain sharp Jackson–Stechkin type inequalities for a generalized higher-order modulus of continuity and calculate the exact values of some known \(n\) -widths of classes of analytic functions defined by using this characteristic in the weighted Bergman space.