On absolute matrix summability factors of infinite series and Fourier series

Yıldız, Şebnem

doi:10.1016/j.bulsci.2021.103000

Bulletin des Sciences Mathématiques

2021

DOI: 10.1016/j.bulsci.2021.103000

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On absolute matrix summability factors of infinite series and Fourier series

Şebnem Yıldız

Abstract: In this paper, a known theorem on | , | nk Np summability factors of infinite series have been generalized for | , | nk A  summability factors. Using this theorem, some new results dealing with Fourier series have been obtained.

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

Bor¹

2022

Proc. Amer. Math. Soc.

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

Bor¹

2022

Proc. Amer. Math. Soc.

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On absolute matrix summability factors of infinite series and Fourier series

Abstract: In this paper, a known theorem on | , | nk Np summability factors of infinite series have been generalized for | , | nk A  summability factors. Using this theorem, some new results dealing with Fourier series have been obtained.

Cited by 1 publication

References 29 publications

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

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

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