On the refinements of some important inequalities via (p,q)-calculus and their applications

We establish some interesting refinements of the ( p , q ) -Hölder integral inequality and the ( p , q ) -power-mean integral inequality. As applications, we show that some existing ( p , q ) -integral inequalities can be improved by the results obtained in this paper.

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Bibliographic Details
Published inJournal of inequalities and applications Vol. 2021; no. 1; pp. 1 - 26
Main Authors Yu, Bo, Luo, Chun-Yan, Du, Ting-Song
Format Journal Article
LanguageEnglish
Published Cham Springer International Publishing 29.04.2021
Springer Nature B.V
SpringerOpen
Subjects
( p , q ) $(p,q)$ -integral inequalities
Analysis
Applications of Mathematics
Calculus
Convex mappings
Hermite–Hadamard inequality
Inequalities
Integrals
Mathematics
Mathematics and Statistics
integral inequalities
Hermite–Hadamard inequality
05A30
Convex mappings
26D15
26A33
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Summary:We establish some interesting refinements of the ( p , q ) -Hölder integral inequality and the ( p , q ) -power-mean integral inequality. As applications, we show that some existing ( p , q ) -integral inequalities can be improved by the results obtained in this paper.
ISSN:1029-242X
1025-5834
1029-242X
DOI:10.1186/s13660-021-02617-8