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JOURNALS // Journal of Siberian Federal University. Mathematics & Physics // Archive

J. Sib. Fed. Univ. Math. Phys., 2022 Volume 15, Issue 3, Pages 319–328 (Mi jsfu1000)

A further generalization of the reverse Minkowski type inequality via Hölder and Jensen inequalities

Bouharket Benaissa

Laboratory of Informatic anf Mathematics, Faculty of Material Science, University of Tiaret, Algeria

Abstract: The main objective of this article is to establish new generalizations of the reverse Minkowski's integral inequalities by introducing weighted functions and two integrability parameters. Two new theorems will be proved using Jensen's integral inequality and Hölder's two-parameter inequality, some reverse Minkowski type Integral inequalities are also obtained.

Keywords: convex function, Hölder inequality, Minkowski inequality, Jensen inequality.

UDC: 517.9

Received: 10.11.2021
Received in revised form: 25.01.2022
Accepted: 09.03.2022

Language: English

DOI: 10.17516/1997-1397-2022-15-3-319-328



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