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Journal of Siberian Federal University. Mathematics & Physics, 2022, Volume 15, Issue 3, Pages 319–328
DOI: https://doi.org/10.17516/1997-1397-2022-15-3-319-328
(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
References:
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
Bibliographic databases:
Document Type: Article
UDC: 517.9
Language: English
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
Citation in format AMSBIB
\Bibitem{Ben22}
\by Bouharket~Benaissa
\paper A further generalization of the reverse Minkowski type inequality via H\"{o}lder and Jensen inequalities
\jour J. Sib. Fed. Univ. Math. Phys.
\yr 2022
\vol 15
\issue 3
\pages 319--328
\mathnet{http://mi.mathnet.ru/jsfu1000}
\crossref{https://doi.org/10.17516/1997-1397-2022-15-3-319-328}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=4442667}
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    Журнал Сибирского федерального университета. Серия "Математика и физика"
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