Year: 2025
Type: article
Abstract: This article is about a refined form of the generalized Jensen inequality in Riemann sense, which is obtained through a positive integrable function. Then manipulation of certain functions with suitable substitutions in the proposed result enables to establish new refined inequalities for the well-known Hölder, and celebrated Hermite--Hadamard inequalities along with power, and quasi-arithmetic means. Further the proposed result also gives refined estimates to Csiszár divergence and its particular variants.
Authors: S. Sahar, M. A. Khan, Sh. Khan, S. H. Altoum, E. R. Nwaeze
Institutions: University of Peshawar, Umm al-Qura University
Language: English
Subfield: Applied Mathematics
Field: Mathematics
Domain: Physical Sciences
Open Access status: diamond
Funder: Umm Al-Qura University
OpenAlex ID: W4409479015