A new application of non-increasing sequences
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In Bor (J Class Anal 1:31–34, 2012), we proved a main theorem dealing with an application of convex sequences. In this paper, we prove that theorem under weaker conditions by using a non-increasing sequence instead of a convex sequence. Some new results have also been obtained.
KeywordsCesàro mean Infinite series Summability factors Convex sequence Non-increasing sequence Hölder inequality Minkowski inequality
Mathematics Subject Classification26D15 40D15 40F05 40G05 40G99
- 12.Zygmund, A.: Trigonometric Series. Instytut Matematyczny Polskiej Akademi Nauk, Warsaw (1935)Google Scholar