Tbilisi Mathematical Journal

A matrix application on absolute weighted arithmetic mean summability factors of infinite series

Şebnem Yildiz

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Abstract

In this present paper, we have generalized a main theorem dealing with $|\bar{N}, p_{n}|_{k}$ summability of non-decreasing sequences to $|A, p_{n}|_{k}$ summability method by using almost increasing sequences and taking normal matrices in place of weighted mean matrices.

Article information

Source
Tbilisi Math. J., Volume 11, Issue 2 (2018), 59-65.

Dates
Received: 7 August 2017
Accepted: 27 January 2018
First available in Project Euclid: 20 June 2018

Permanent link to this document
https://projecteuclid.org/euclid.tbilisi/1529460022

Digital Object Identifier
doi:10.32513/tbilisi/1529460022

Mathematical Reviews number (MathSciNet)
MR3954183

Subjects
Primary: 26D15: Inequalities for sums, series and integrals
Secondary: 40D15: Convergence factors and summability factors 40F05: Absolute and strong summability (should also be assigned at least one other classification number in Section 40) 40G99: None of the above, but in this section 42A24: Summability and absolute summability of Fourier and trigonometric series 46A45: Sequence spaces (including Köthe sequence spaces) [See also 46B45]

Keywords
Riesz mean absolute matrix summability summability factors infite series Hölder inequality Minkowski inequality

Citation

Yildiz, Şebnem. A matrix application on absolute weighted arithmetic mean summability factors of infinite series. Tbilisi Math. J. 11 (2018), no. 2, 59--65. doi:10.32513/tbilisi/1529460022. https://projecteuclid.org/euclid.tbilisi/1529460022


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