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Computational Representation of Fractional Inequalities Through 2D and 3D Graphs with Applications

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Publicado en:Computation vol. 13, no. 2 (2025), p. 46
Autor principal: Younis, Muhammad
Otros Autores: Mehmood, Ahsan, Samraiz, Muhammad, Rahman, Gauhar, Haque, Salma, Aloqaily, Ahmad, Mlaiki, Nabil
Publicado:
MDPI AG
Materias:
Calculus
Identities
Complex systems
Fractional calculus
Inequalities
Graphical representations
Convexity
Operators (mathematics)
Books
Acceso en línea:Citation/Abstract
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Resumen:The aim of this research article is to use the extended fractional operators involving the multivariate Mittag–Leffler (M-M-L) function, we provide the generalization of the Hermite–Hadamard–Fejer (H-H-F) inequalities. We relate these inequalities to previously published disparities in the literature by making appropriate substitutions. In the last section, we analyze several inequalities related to the H-H-F inequalities, focusing on generalized h-convexity associated with extended fractional operators involving the M-M-L function. To achieve this, we derive two identities for locally differentiable functions, which allows us to provide specific estimates for the differences between the left, middle, and right terms in the H-H-F inequalities. Also, we have constructed specific inequalities and visualized them through graphical representations to facilitate their applications in analysis. The research bridges theoretical advancements with practical applications, providing high-accuracy bounds for complex systems involving fractional calculus.
ISSN:2079-3197
DOI:10.3390/computation13020046
Fuente:Advanced Technologies & Aerospace Database