Summability of Fourier Series and its Derived Series by Matrix Means

Year 2019, Issue: 26, 54 - 63, 01.01.2019

Abdelhadi Mohammad Karazon Mohammad Mahmoud Amer

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  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

References

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