Tbilisi Mathematical Journal

On some new results for non-decreasing sequences

Hüseyin Bor

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In this paper, a general theorem on absolute Riesz summability factors of infinite series is proved under weaker conditions. Also we have obtained some new and known results.

Article information

Tbilisi Math. J., Volume 10, Issue 2 (2017), 57-64.

Received: 31 October 2016
Accepted: 15 December 2016
First available in Project Euclid: 26 May 2018

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Mathematical Reviews number (MathSciNet)

Zentralblatt MATH identifier

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

Riesz mean summability factors sequences Hölder inequality Minkowski inequality


Bor, Hüseyin. On some new results for non-decreasing sequences. Tbilisi Math. J. 10 (2017), no. 2, 57--64. doi:10.1515/tmj-2017-0025. https://projecteuclid.org/euclid.tbilisi/1527300043

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