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On moduli of smoothness of functions in Orlicz spaces

Sadulla Z. Jafarov

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Source: Crossref

Published: Jul 1, 2019

DOI: 10.32513/tbilisi/1569463238

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Source abstract

In this work the estimate about modulus of smoothness of the derivatives of the functions is obtained in Orlicz spaces. The relations between the modulus of smoothness of the functions with nnth partial and Vallée-Poussin sums of the Fourier series in Orlicz spaces are studied.

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On moduli of smoothness of functions in Orlicz spaces — Mathematical Frontier Network