Year: 2025
Type: article
Abstract: This study investigates a new class of totally ordered interval-valued super-quadratic convex mappings that are based on the ordering relation $\mathfrak{c}\mathfrak{r}$ and control mappings ħ. We also discuss a few captivating properties of this class, along with some special cases, to ensure its broadness and utility. We look at classical integral inequalities such as Jensen’s, reverse Jensen’s, Jensen–Mercer, and Hermite–Hadamard’s inequality along with interval-valued $\mathfrak{c}\mathfrak{r}$ -h super-quadratic mappings in the context of classical and fractional operators from a useful point of view. The outcomes are affirmed through illustrative examples, visuals, and applications to means and information theory, respectively.
Authors: Muhammad Zakria Javed, Amina Arshad, Muhammad Uzair Awan, Yahya Almalki, Daniel Breaz, Luminiţa-Ioana Cotîrlă, Alin Danciu
Language: English
Subfield: Applied Mathematics
Field: Mathematics
Domain: Physical Sciences
Open Access status: gold
Estimated APC paid: $2,190
Funder: King Khalid University
OpenAlex ID: W4411275258