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
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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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     author = {Stanislav Chaichenko},
     title = {Approximations of {Periodic} {Functions} by {Analogue} of {Zygmund} {Sums} in the {Spaces} $\boldsymbol{L^{p(\cdot)}}$},
     journal = {Publications de l'Institut Math\'ematique},
     pages = {155 },
     year = {2016},
     volume = {_N_S_99},
     number = {113},
     doi = {10.2298/PIM1613155C},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.2298/PIM1613155C/}
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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

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