A new extension on the theorem of Bor

Yıldız, Şebnem

Comptes Rendus. Mathématique, Tome 359 (2021) no. 5, pp. 555-562.

In [8], Bor has obtained a main theorem dealing with Riesz summability factors of infinite series and Fourier series. In this paper, we generalized that theorem to $|A,{\theta }_n{|}_k$ summability method for taking power increasing sequence. Also some new and known results are obtained dealing with some basic summability methods.

Classification : 26D15, 42A24, 40F05, 40G99

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