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

APPROXIMATIONS OF PERIODIC FUNCTIONS BY ANALOGUE OF ZYGMUND SUMS IN THE SPACES $\boldsymbol{L^{p(\cdot)}}$}Stanislav ChaichenkoDepartment of Mathematics, Donbas State Pedagogical University, Slavyansk, UkraineAbstract: 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 Full text of the article: (for faster download, first choose a mirror)
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