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Hilbert’s inequalities with alternating signs

Hilbert’s inequalities with alternating signs It is well known that most classical inequalities are essentially concerned with positive terms. However, in different branches of analysis it is necessary to deal with alternating series. The main purpose of this paper is to establish some new and interesting Hilbert-type inequalities involving alternating series. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Periodica Mathematica Hungarica Springer Journals

Hilbert’s inequalities with alternating signs

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References (32)

Publisher
Springer Journals
Copyright
Copyright © Akadémiai Kiadó, Budapest, Hungary 2021
ISSN
0031-5303
eISSN
1588-2829
DOI
10.1007/s10998-021-00438-2
Publisher site
See Article on Publisher Site

Abstract

It is well known that most classical inequalities are essentially concerned with positive terms. However, in different branches of analysis it is necessary to deal with alternating series. The main purpose of this paper is to establish some new and interesting Hilbert-type inequalities involving alternating series.

Journal

Periodica Mathematica HungaricaSpringer Journals

Published: Dec 1, 2022

Keywords: Hilbert’s inequality for double series; Young’s inequality; Szegő’s inequality; Hölder’s inequality; 26D15

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