Work

(k, g)-Fractional Integral Hermite-Hadamard Type Inequalities Involving Convex and Symmetric Functions

Year: 2025

Type: article

Abstract: This paper examines the importance of generalised (k, g) fractional integral operators within the framework of mathematical inequalities. We introduce innovative generalised fractional integral Hermite-Hadamard inequalities, which, to our knowledge, constitute a new advancement in the area. These inequalities are formulated using contemporary generalised fractional integral operators and underscore the complex interconnections among convexity, symmetry, and fractional calculus. align, we present fractional integral Hermite-Hadamard-type inequalities that utilise these generalised operators, offering an expanded framework for comprehending the characteristics of convex and symmetric functions. Our discoveries enhance theoretical understanding and possess prospective applications in optimisation, numerical analysis, and diverse areas of applied mathematics. Furthermore, we enhance this work by discussing several special cases pertinent to this paper.

Source: Contemporary Mathematics

DOI: 10.37256/cm.6220256396

Authors: Majid K. Neamah, Alawiah Ibrahim, Tariq A. Aljaaidi, Mohammed S. S. Abdo

Institutions: University of Baghdad, National University of Malaysia, Modern Specialized University, Hodeidah University

Language: English

Topic: Mathematical Inequalities and Applications

Subfield: Applied Mathematics

Field: Mathematics

Domain: Physical Sciences

Open Access status: diamond

OpenAlex ID: W4408210634

FWCI: 1.924

Cites:

Cited by: 1

Related to: 10