AN EXTENSION THEOREM ON DEGREE OF APPROXIMATION OF FOURIER SERIES BY (E- q)B-MEAN

AN EXTENSION THEOREM ON DEGREE OF APPROXIMATION OF FOURIER SERIES BY (E- q)B-MEAN

B. P. Padhy, P. Tripathy, U. K. Misra

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Abstract

Now-a-days, approximation of functions have great importance in the eld of science and engineering because of its wider applicability. It is observed that the de- termination of trigonometric approximation of functions in various function spaces using summability techniques of Fourier series and conjugate Fourier series received a growing interest among the researchers and scientists. In the present article, we have established a new result on the degree of approximation of a Fourier series of weighted Lipchitz class W(LP ; (u)) by using the product mean (E; q)B.

Keywords

Degree of Approximation, W(LP ; (u)) class function, (E; q)- mean, B-mean, (E; q)B-mean, Fourier series and Lebesgue integral.