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ON APPROXIMATION OF CONTINUOUS BIVARIATE PERIODIC FUNCTIONS BY DEFERRED GENERALIZED DE LA VALLÉE POUSSIN MEANS OF THEIR FOURIER SERIES

Lakshmi Narayan Mishra|XHEVAT ZAHIR KRASNIQI|L. Rathour
장전수학회 (Jangjeon Mathematical Society)|2022.07|Advanced Studies in Contemporary Mathematics|제32권 제3호|pp. 387-402

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참고문헌

키워드

Best approximationLipschitz classDouble Fourier seriesDeferred de la Vallée Poussin meansFejér means
주제분류수학

초록

In this paper we have introduced the deferred generalized de la Vallée Poussin means. Using such means of partial sums of the Fourier series of continuous and periodic functions, we have proved some theorems pertaining to upper bound of such means, to the upper bound of the their deviation from the considered functions, and to the degree of approximation when such functions belong to Lipschitz classes.

Abstract

In this paper we have introduced the deferred generalized de la Vallée Poussin means. Using such means of partial sums of the Fourier series of continuous and periodic functions, we have proved some theorems pertaining to upper bound of such means, to the upper bound of the their deviation from the considered functions, and to the degree of approximation when such functions belong to Lipschitz classes.

참고문헌 (15)

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