Journal of Siberian Federal University. Mathematics & Physics / A Further Generalization of the Reverse Minkowski Type Inequality via H¨older and Jensen Inequalities

Full text (.pdf)
Issue
Journal of Siberian Federal University. Mathematics & Physics. 2022 15 (3)
Authors
Benaissa, Bouharket
Contact information
Benaissa, Bouharket: Laboratory of Informatic anf Mathematics Faculty of Material Science University of Tiaret Algeria, Algeria; OCRID: 0000-0002-1195-6169
Keywords
convex function; H¨older inequality; Minkowski inequality; Jensen inequality
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 H¨older’s two-parameter inequal- ity, some reverse Minkowski type Integral inequalities are also obtained

Pages
319–328
DOI
10.17516/1997-1397-2022-15-3-319-328
Paper at repository of SibFU
https://elib.sfu-kras.ru/handle/2311/145503