Geodesic
Approximations of Periodic Functions by Analogue of Zygmund Sums in the Spaces $\boldsymbol{L^{p(\cdot)}}$
Publications de l'Institut Mathématique, _N_S_99 (2016) no. 113, p. 155 .

Voir la notice de l'article provenant de la source eLibrary of Mathematical Institute of the Serbian Academy of Sciences and Arts

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.
DOI : 10.2298/PIM1613155C
Classification : 46E30, 42A10, 41A17, 41A20, 41A25
Keywords: Lebesgue spaces with variable exponent, analogue of Zygmund sums, $(\psi;\beta)$-derivative 
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     title = {Approximations of {Periodic} {Functions} by {Analogue} of {Zygmund} {Sums} in the {Spaces} $\boldsymbol{L^{p(\cdot)}}$},
     journal = {Publications de l'Institut Math\'ematique},
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Stanislav Chaichenko. Approximations of Periodic Functions by Analogue of Zygmund Sums in the Spaces $\boldsymbol{L^{p(\cdot)}}$. Publications de l'Institut Mathématique, _N_S_99 (2016) no. 113, p. 155 . doi : 10.2298/PIM1613155C. http://geodesic.mathdoc.fr/articles/10.2298/PIM1613155C/

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