New Jensen's bounds for HA-convex mappings with applications to Shannon entropy
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.
Authors
- Yamin Sayyari (ORCID: https://orcid.org/0000-0001-8019-3655)
- Saad Ihsan Butt (ORCID: https://orcid.org/0000-0001-7192-8269)
- Praveen Agarwal (ORCID: https://orcid.org/0000-0001-7556-8942)
- Juan J. Nieto (ORCID: https://orcid.org/0000-0001-8202-6578)
- Mehdi Dehghanian (ORCID: https://orcid.org/0000-0002-5348-1333)
Institutions
- COMSATS University Islamabad (PK)
- Sirjan University of Technology (IR)
- Ajman University (AE)
- Universidade de Santiago de Compostela (ES)
- Inspiration Innovation Synergy University (IN)
- Saveetha University (IN)
Publication Details
- Journal
- Demonstratio Mathematica
- Published
- 2025-01-01
- DOI
- https://doi.org/10.1515/dema-2025-0122
- Primary Topic
- Functional Equations Stability Results
- Type
- article
- Field-Weighted Citation Impact
- 0.00