Tbilisi Mathematical Journal

On some new results for non-decreasing sequences

Hüseyin Bor

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Abstract

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

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

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

Permanent link to this document
https://projecteuclid.org/euclid.tbilisi/1527300043

Digital Object Identifier
doi:10.1515/tmj-2017-0025

Mathematical Reviews number (MathSciNet)
MR3627158

Zentralblatt MATH identifier
1376.40007

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

Keywords
Riesz mean summability factors sequences Hölder inequality Minkowski inequality

Citation

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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References

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