Some Issues of the Theory of Approximations by Entire Functions of Exponential Type and Generalized Moduli of Smoothness


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Abstract

The study establishes equivalence of generalized moduli of smoothness of K-functionals and errors of approximation by convolution integrals in cases when their generators are equivalent.

About the authors

S. Yu. Artamonov

Department of Programming, Sevastopol Branch of Moscow State University

Author for correspondence.
Email: sergei.artamonov@gmail.com
Russian Federation, Sevastopol

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