On some submethod summability factors of infinite series

Sibel Yasemin Gölbol; Süleyman Atalar; Uğur Değer

doi:10.17798/bitlisfen.1854781

On some submethod summability factors of infinite series

Abstract

Bor proved a theorem dealing with the absolute Riesz summability of infinite series by using almost increasing sequences. In this study, a new absolute summability method is defined by means of the Riesz submethod, and within this framework, an extended version of Bor’s result on absolute Riesz summability factors is obtained under more general conditions. The theoretical results are then applied to Fourier series generated by orthogonal systems, and new sufficient conditions are established to guarantee their absolute summability by the proposed method. Thus, this study both extends existing results in the literature and provides further applications of absolute summability theory to Fourier analysis.

Keywords

Ethical Statement

The study is complied with research and publication ethics.

References

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Details

Primary Language

English

Subjects

Operator Algebras and Functional Analysis

Journal Section

Research Article

Authors

Sibel Yasemin Gölbol ^*
0009-0004-8054-2033
Türkiye

Süleyman Atalar
0000-0002-3553-7970
Türkiye

Uğur Değer
0000-0002-1741-1178
Türkiye

Publication Date

June 30, 2026

Submission Date

January 2, 2026

Acceptance Date

March 24, 2026

Published in Issue

Year 2026 Volume: 15 Number: 2

DOI

https://doi.org/10.17798/bitlisfen.1854781

IZ

https://izlik.org/JA92LM76XG

Cite

RIS / Bibtex

APA

Yasemin Gölbol, S., Atalar, S., & Değer, U. (2026). On some submethod summability factors of infinite series. Bitlis Eren Üniversitesi Fen Bilimleri Dergisi, 15(2), 961-968. https://doi.org/10.17798/bitlisfen.1854781

AMA

1.Yasemin Gölbol S, Atalar S, Değer U. On some submethod summability factors of infinite series. Bitlis Eren Üniversitesi Fen Bilimleri Dergisi. 2026;15(2):961-968. doi:10.17798/bitlisfen.1854781

Chicago

Yasemin Gölbol, Sibel, Süleyman Atalar, and Uğur Değer. 2026. “On Some Submethod Summability Factors of Infinite Series”. Bitlis Eren Üniversitesi Fen Bilimleri Dergisi 15 (2): 961-68. https://doi.org/10.17798/bitlisfen.1854781.

EndNote

Yasemin Gölbol S, Atalar S, Değer U (June 1, 2026) On some submethod summability factors of infinite series. Bitlis Eren Üniversitesi Fen Bilimleri Dergisi 15 2 961–968.

IEEE

[1]S. Yasemin Gölbol, S. Atalar, and U. Değer, “On some submethod summability factors of infinite series”, Bitlis Eren Üniversitesi Fen Bilimleri Dergisi, vol. 15, no. 2, pp. 961–968, June 2026, doi: 10.17798/bitlisfen.1854781.

ISNAD

Yasemin Gölbol, Sibel - Atalar, Süleyman - Değer, Uğur. “On Some Submethod Summability Factors of Infinite Series”. Bitlis Eren Üniversitesi Fen Bilimleri Dergisi 15/2 (June 1, 2026): 961-968. https://doi.org/10.17798/bitlisfen.1854781.

JAMA

1.Yasemin Gölbol S, Atalar S, Değer U. On some submethod summability factors of infinite series. Bitlis Eren Üniversitesi Fen Bilimleri Dergisi. 2026;15:961–968.

MLA

Yasemin Gölbol, Sibel, et al. “On Some Submethod Summability Factors of Infinite Series”. Bitlis Eren Üniversitesi Fen Bilimleri Dergisi, vol. 15, no. 2, June 2026, pp. 961-8, doi:10.17798/bitlisfen.1854781.

Vancouver

1.Sibel Yasemin Gölbol, Süleyman Atalar, Uğur Değer. On some submethod summability factors of infinite series. Bitlis Eren Üniversitesi Fen Bilimleri Dergisi. 2026 Jun. 1;15(2):961-8. doi:10.17798/bitlisfen.1854781