Summability of Fourier Series and its Derived Series by Matrix Means

Authors : Abdelhadi Mohammad Karazon, Mohammad Mahmoud Amer

Pages : 54-63

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Publication Date : 2019-01-01

Article Type : Research

Abstract :This Paper introduces the concept of matrix operators and establishes two new theorems on matrix summability of Fourier series and its derived series. the results obtained in the paper further extend several known results on linear operators. Various types of criteria, under varying conditions, for the matrix summability of the Fourier series, In this paper quite a different and general type of criterion for summability of the Fourier Series has been obtained, in the theorem function   QUOTE    is integrable in the sense of Lebesgue to the interval  [-\pi,\pi]  and period with period 2\pi.
Keywords : Summability, matrix summability, Fourier series, derived Fourier series