Work

New Jensen's bounds for HA-convex mappings with applications to Shannon entropy

Year: 2025

Type: article

Abstract: The aim of this article is to establish some new extensions and variants of Jensen’s discrete and Simic-type inequalities for HA-convex and uniformly HA-convex functions. We introduce uniformly HA-convex functions, which are the generalized class of HA-convex (harmonic-arithmetic)-convex functions and provide some examples too. As an application point of view for the new Jensen’s bounds, we present some new improved bounds for Shannon’s entropy. Finally, some analysis is given by graphical illustration to prove the improvements of bounds.

Source: Demonstratio Mathematica

DOI: 10.1515/dema-2025-0122

Authors: Yamin Sayyari, Saad Ihsan Butt, Mehdi Dehghanian, Praveen Agarwal, Juan J. Nieto

Institutions: Sirjan University of Technology, COMSATS University Islamabad, Ajman University, Anand International College of Engineering, Saveetha University, Universidade de Santiago de Compostela

Language: English

Topic: Mathematical Inequalities and Applications

Subfield: Applied Mathematics

Field: Mathematics

Domain: Physical Sciences

Open Access status: gold

Estimated APC paid: $1,187

OpenAlex ID: W4412829665

FWCI:

Cites: 20

Cited by:

Related to: 10