A New Theorem on Absolute Matrix Summability of Fourier Series

Şebnem Yildiz

Abstract: We generalize a main theorem dealing with absolute weighted mean summability of Fourier series to the $|A,p_n{|}_k$ summability factors of Fourier series under weaker conditions. Also some new and known results are obtained.

Keywords: summability factors, absolute matrix summability, Fourier series, infinite series, Hölder inequality, Minkowski inequality

Classification (MSC2000): 26D15;42A24;40F05;40G99

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