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Approximation of periodic functions in certain sub-classes of Lp[0,2π]

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In this paper, we determine the degree of trigonometric approximation of 2π-periodic functions and their conjugates, in terms of the moduli of continuity associated with them, by matrix means of… Click to show full abstract

In this paper, we determine the degree of trigonometric approximation of 2π-periodic functions and their conjugates, in terms of the moduli of continuity associated with them, by matrix means of corresponding Fourier series. We also discuss some analogous results with remarks and corollaries.

Keywords: approximation periodic; certain sub; periodic functions; functions certain; sub classes

Journal Title: Asian-european Journal of Mathematics
Year Published: 2017

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