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Hermite-Hadamard Inequalities for Generalized $\zeta -$Conformable Integrals Generated by Co-Ordinated Functions

Year: 2025

Type: article

Abstract: In this article, we introduce generalized $\zeta -$ conformable fractional integrals on co-ordinated functions and for the functions of two variables. Additionally, we derive a new Hermite-Hadamard inequality by utilizing the generalized Riemann-Liouville integrals, utilizing the generalized $\zeta -$conformable integral definition. Furthermore, we demonstrate some implications of the Hermite-Hadamard inequality and definitions introduced in this study. Consequently, we state and prove several related inequalities.

Source: Mathematical Sciences and Applications E-Notes

DOI: 10.36753/mathenot.1500238

Authors: Sümeyye Ermeydan Çiriş, Hüseyin Yıldırım

Institution: Kahramanmaraş Sütçü İmam University

Language: English

Topic: Mathematical Inequalities and Applications

Subfield: Applied Mathematics

Field: Mathematics

Domain: Physical Sciences

Open Access status: hybrid

OpenAlex ID: W4408247128

FWCI:

Cites: 12

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Related to: 10