DEGREE OF APPROXIMATION BY PRODUCT ( N ; pn; qn)(E; q) SUMMABILITY OF FOURIER SERIES OF A FUNCTION BELONGING TO LIPSCHITZ CLASS

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SUSANTA KUMAR PAIKRAY

Abstract

Approximation of periodic functions by different linear summation methods have been studied by many researchers. Further, for sharpening the estimate of errors out of the approximations several product summability methods were introduced by different investigators. In this paper a new theorem has been established on (, p, qn)(E, q)-summability of Fourier series of a function belonging to f ∈ Lip(ξ(t), r) class that generalizes several known results.

Keywords:
Degree of approximation, fourier series, Lip((t); r)-class, (N; pn; qn)-mean, (N; pn; qn) (E; q)-mean, Lebesgue integral

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How to Cite
PAIKRAY, S. (2016). DEGREE OF APPROXIMATION BY PRODUCT ( N ; pn; qn)(E; q) SUMMABILITY OF FOURIER SERIES OF A FUNCTION BELONGING TO LIPSCHITZ CLASS. Asian Journal of Current Research, 1(3), 108-113. Retrieved from http://ikpress.org/index.php/AJOCR/article/view/256
Section
Original Research Article

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