## Tbilisi Mathematical Journal

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

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

#### 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