ON SUFFICIENT CONDITIONS FOR FUNCTIONS BELONGING TO THE CLASSES $H_{\omega_1}$E

Shpetim Rexhepi; Egzona Iseni

doi:10.35834/2024/3601057

Abstract

In this paper sufficient conditions are given for determining when the product of functions of different spaces belong to $H_{\omega_{1}}$ class. The estimation of the Fourier coefficients of the functions of this class is also provided.

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Shpetim Rexhepi. Egzona Iseni. "ON SUFFICIENT CONDITIONS FOR FUNCTIONS BELONGING TO THE CLASSES $H_{\omega_1}$E." Missouri J. Math. Sci. 36 (1) 57 - 63, May 2024. https://doi.org/10.35834/2024/3601057

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Published: May 2024

First available in Project Euclid: 29 May 2024

Digital Object Identifier: 10.35834/2024/3601057

Subjects:

Primary: 42A15

Keywords: approximation , Cauchy-Bunyakovsky-Schwarz inequality , Fourier coefficients , Holder inequality , modules of smoothness

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