A new factor theorem on absolute matrix summability method

• Autorzy: Yıldız Şebnem

Identyfikatory

DOI

10.1515/jaa-2021-2060

• Języki publikacji: EN

Abstrakty

EN

In this paper, we have a new matrix generalization with absolute matrix summability factor of an infinite series by using quasi-β-power increasing sequences. That theorem also includes some new and known results dealing with some basic summability methods.

Słowa kluczowe

EN

Hölder’s inequality; Minkowski inequality; absolute matrix summability; summability factor; infinite series

• Wydawca: De Gruyter
• Czasopismo: Journal of Applied Analysis
• Rocznik: 2022
• Tom: Vol. 28, nr 1
• Strony: 83--89
• Opis fizyczny: Bibliogr. 9 poz.

Twórcy

autor

Yıldız Şebnem

• Department of Mathematics, Kırşehir Ahi Evran University, Kırşehir, Turkey

• https://orcid.org/0000-0003-3763-0308

Bibliografia

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• [4] L. Leindler, A new application of quasi power increasing sequences, Publ. Math. Debrecen 58 (2001), 791-796.
• [5] L. Leindler, A recent note on the absolute Riesz summability factors, J. Inequal. Pure Appl. Math. 7 (2006), no. 2, Paper No. 44.
• [6] H. S. Özarslan and T. Kandefer, On the relative strength of two absolute summability methods, J. Comput. Anal. Appl. 11 (2009), 576-583.
• [7] B. E. Rhoades, Inclusion theorems for absolute matrix summability methods, J. Math. Anal. Appl. 238 (1999), 82-90.
• [8] M. A. Sarıgöl, On the local properties of factored Fourier series, Appl. Math. Comput. 216 (2010), 3386-3390.
• [9] W. T. Sulaiman, A recent note on the absolute Riesz summability factor of infinite series, J. Appl. Funct. Anal. 7 (2012), no. 4, 381-387.

Uwagi

Opracowanie rekordu ze środków MEiN, umowa nr SONP/SP/546092/2022 w ramach programu "Społeczna odpowiedzialność nauki" - moduł: Popularyzacja nauki i promocja sportu (2022-2023).