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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.
Received: 10.11.2021 Received in revised form: 25.01.2022 Accepted: 09.03.2022
Citation:
Bouharket Benaissa, “A further generalization of the reverse Minkowski type inequality via Hölder and Jensen inequalities”, J. Sib. Fed. Univ. Math. Phys., 15:3 (2022), 319–328
Linking options:
https://www.mathnet.ru/eng/jsfu1000 https://www.mathnet.ru/eng/jsfu/v15/i3/p319
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Abstract page: | 86 | Full-text PDF : | 31 | References: | 31 |
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