On absolute weighted arithmetic mean summability of infinite series and Fourier series

Bor, Hüseyi̇n

doi:10.1090/proc/15927

On absolute weighted arithmetic mean summability of infinite series and Fourier series
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Proc. Amer. Math. Soc. 150 (2022), 3517-3523 Request permission

Abstract:

Quite recently, we have obtained two main theorems dealing with absolute weighted arithmetic mean summability factors of infinite series and trigonometric Fourier series [C. R. Math. Acad. Sci. Paris 359 (2021), pp. 323–328]. In this paper, we have generalized these theorems for a general summability method. We have also obtained some new and known results for certain absolute summability methods.

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