EMIS ELibM Electronic Journals Publications de l'Institut Mathématique, Nouvelle Série
Vol. 99(113), pp. 155–163 (2016)

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APPROXIMATIONS OF PERIODIC FUNCTIONS BY ANALOGUE OF ZYGMUND SUMS IN THE SPACES $\boldsymbol{L^{p(\cdot)}}$}

Stanislav Chaichenko

Department of Mathematics, Donbas State Pedagogical University, Slavyansk, Ukraine

Abstract: We found order estimates for the upper bounds of the deviations of analogue of Zygmund's sums on the classes of $(\psi;\beta)$-differentiable functions in the metrics of generalized Lebesgue spaces with variable exponent.

Keywords: Lebesgue spaces with variable exponent; analogue of Zygmund sums; $(\psi;\beta)$-derivative

Classification (MSC2000): 46E30; 42A10; 41A17; 41A20; 41A25

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Electronic fulltext finalized on: 12 Apr 2016. This page was last modified: 20 Apr 2016.

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