ON K^λ,μ,ν,β, SUMMABILITY OF A QUADRUPLE FOURIER SERIES

admin May 11, 2015

Authors:

L. Ershad Ali,2Md.Asraful ,S. Yeasmin,A. Polin ,M. G. Arif ,

DOI NO:

https://doi.org/10.26782/jmcms.2011.07.00009

Keywords:

Fourier series,approximate periodic function,infinite summation,quadruple Fourier series,

Abstract

In this paper, Fourier analysis began as an attempt to approximate periodic functions with infinite summations of trigonometric polynomials. For certain functions, these sums, known as Fourier series, converge exactly to the original function. Hereextending the result of R. Islam & M. Zaman (1999), a theorem on βνμλ,,,k summability of quadruple Fourier series has been established.

Refference:

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III.Karamata, J.(1935). Theorems sur la Sommabilite exponentialle etd, autres Sommabilities S’y rattachant, Mathematica (Cluj), 9,164.

IV.Kathal, P.D. (1969). A new criterion for Karamata summability of Fourier series, Riv. Math. Univ. Parma, Italy 10(2), 33.

V.Lal, Shyam (1997). On μλ,k-summability of a double Fourier series, Bull. Cal. Math. Soc., 89, 327.

VI.Lototsky, A.V. (1963), On a linear transformation of sequence (Russian) Ivanov, Gos, Red. Inst. Uchen, Zap., 4, 61.

VII.Vuckovic, V. (1965). The summability of Fourier series by Karamata methods, Math. Zeitchr, 89, 192.

L. Ershad Ali, Md.Asraful Alom, S. Yeasmin, A. Polin ,M. G. Arif View Download