Back to Search
Start Over
Fractional Hermite–Hadamard–Mercer-Type Inequalities for Interval-Valued Convex Stochastic Processes with Center-Radius Order and Their Related Applications in Entropy and Information Theory
- Source :
- Fractal and Fractional, Vol 8, Iss 7, p 408 (2024)
- Publication Year :
- 2024
- Publisher :
- MDPI AG, 2024.
-
Abstract
- We propose a new definition of the γ-convex stochastic processes (CSP) using center and radius (CR) order with the notion of interval valued functions (C.RI.V). By utilizing this definition and Mean-Square Fractional Integrals, we generalize fractional Hermite–Hadamard–Mercer-type inclusions for generalized C.RI.V versions of convex, tgs-convex, P-convex, exponential-type convex, Godunova–Levin convex, s-convex, Godunova–Levin s-convex, h-convex, n-polynomial convex, and fractional n-polynomial (CSP). Also, our work uses interesting examples of C.RI.V(CSP) with Python-programmed graphs to validate our findings using an extension of Mercer’s inclusions with applications related to entropy and information theory.
Details
- Language :
- English
- ISSN :
- 25043110
- Volume :
- 8
- Issue :
- 7
- Database :
- Directory of Open Access Journals
- Journal :
- Fractal and Fractional
- Publication Type :
- Academic Journal
- Accession number :
- edsdoj.32b5329fd0714548b6faf44fddf845c0
- Document Type :
- article
- Full Text :
- https://doi.org/10.3390/fractalfract8070408