Work

Better Refinements of Fractional Inequalities through Harmonically Fuzzy Convexity and its Validation

Year: 2026

Type: article

Abstract: There is a very close relation between convexity and generalized fractional operators (GFO) to improving the fractional inequalities. In this article, we describe the new form of fractional operators, named generalized proportional fuzzy fractional operators (GPFFO), and also discuss the refinements of well-known inequalities. We derive a modified version of Hermite-Hadamard-type inequalities and their refinements by utilizing the GPFFO with harmonically fuzzy convexity. Moreover, we discuss the numerical computations of our main results that show the existence of analytical and numerical behaviors. This type of validation represents the strength of our results. These new results and their numerical validations have a great contribution in the field of computational of inequalities.

Source: International Journal of Analysis and Applications

DOI: 10.28924/2291-8639-24-2026-207

Authors: Muhammad Haseeb, Rana Safdar Ali, Jamal Salah, Aseel Smerat, Muhammad Imran Hafeez

Institutions: Superior University, A'Sharqiyah University, Al-Ahliyya Amman University, Saveetha University, University of Lahore

Language: English

Topic: Mathematical Inequalities and Applications

Subfield: Applied Mathematics

Field: Mathematics

Domain: Physical Sciences

Open Access status: gold

Estimated APC paid: $450

OpenAlex ID: W7167489727

FWCI: 2.198

Cites: 21

Cited by: 1

Related to: 10