On an Extension of Absolute Summability
Abstract
In the present paper, a known theorem on absolute summability factors of infinite series has been generalized for $\left|A, p_{n}; \delta\right|_{k}$ summability by using matrix transformation.
Keywords
References
- [1] H. Bor, On $|\bar{N},p_{n}|_{k}$; pnjk summability factors of infinite series, Tamkang J. Math. Vol:16, No.1 (1985), 13-20.
- [2] H. Bor, On $|\bar{N},p_{n}|_{k}$; pnjk summability factors, Proc. Amer. Math. Soc. Vol:94, No.3 (1985), 419-422.
- [3] H. Bor, Absolute summability factors of infinite series, Panamer. Math. J. Vol:2, No.2 (1992), 33-38.
- [4] H. Bor, On local property of $|\bar{N},p_{n};\delta|_{k}$ summability of factored Fourier series, J. Math. Anal. Appl. Vol:179, No.2 (1993), 646–649.
- [5] H. Bor, On absolute summability factors, Z. Anal. Anwendungen Vol:15, No.2 (1996), 545-549.
- [6] A. Karakas¸, On absolute matrix summability factors of infinite series, J. Class. Anal. Vol:13, No.2 (2018), 133-139.
- [7] H. S. Özarslan, A note on $|\bar{N},p_{n}|_{k}$; pn;djk summability factors, Indian J. Pure Appl. Math. Vol:33, No.3 (2002), 361-366.
- [8] H. S. Özarslan and H. N. Öğdük, Generalizations of two theorems on absolute summability methods, Aust. J. Math. Anal. Appl. Vol:1, No.2 (2004), 1-7.
Details
Primary Language
English
Subjects
Engineering
Journal Section
Research Article
Authors
Bağdagül Kartal
*
0000-0001-6223-0838
Türkiye
Publication Date
October 15, 2019
Submission Date
April 25, 2019
Acceptance Date
August 21, 2019
Published in Issue
Year 2019 Volume: 7 Number: 2
