2017
Том 69
№ 9

All Issues

Approximations by Fourier Sums on the Sets $L^{ψ} L^{P(∙)}$

Chaichenko S. O.

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Abstract

We study some problems of imbedding of the sets of $ψ$-integrals of the functions $f \in L^{p(∙)}$ and determine the orders of approximations of functions from these sets by Fourier’s sums.

English version (Springer): Ukrainian Mathematical Journal 66 (2014), no. 6, pp 937-948.

Citation Example: Chaichenko S. O. Approximations by Fourier Sums on the Sets $L^{ψ} L^{P(∙)}$ // Ukr. Mat. Zh. - 2014. - 66, № 6. - pp. 835–846.

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