2017
Том 69
№ 9

# Trigonometric approximation of functions in generalized Lebesgue spaces with variable exponent

Akgün R.

Abstract

We investigate the approximation properties of the trigonometric system in $L_{2\pi}^{p(\cdot)}$. We consider the fractional order moduli of smoothness and obtain direct, converse approximation theorems together with a constructive characterization of a Lipschitz-type class.

English version (Springer): Ukrainian Mathematical Journal 63 (2011), no. 1, pp 1-26.

Citation Example: Akgün R. Trigonometric approximation of functions in generalized Lebesgue spaces with variable exponent // Ukr. Mat. Zh. - 2011. - 63, № 1. - pp. 3-23.

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