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

Sümeyye Ermeydan Çiriş; Hüseyin Yıldırım

doi:10.36753/mathenot.1500238

EN

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

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.

Keywords

Co-ordinated functions, Generalized conformable integrals, Hermite-Hadamard inequality

References

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Details

Primary Language

English

Subjects

Operations Research İn Mathematics

Journal Section

Research Article

Authors

Sümeyye Ermeydan Çiriş ^*
0009-0000-2472-5311
Türkiye

Hüseyin Yıldırım
0000-0001-8855-9260
Türkiye

Early Pub Date

March 3, 2025

Publication Date

March 8, 2025

Submission Date

July 17, 2024

Acceptance Date

February 11, 2025

Published in Issue

Year 2025 Volume: 13 Number: 1

DOI

https://doi.org/10.36753/mathenot.1500238

IZ

https://izlik.org/JA45UM42YN

APA

Ermeydan Çiriş, S., & Yıldırım, H. (2025). Hermite-Hadamard Inequalities for Generalized $\zeta -$Conformable Integrals Generated by Co-Ordinated Functions. Mathematical Sciences and Applications E-Notes, 13(1), 36-53. https://doi.org/10.36753/mathenot.1500238

AMA

1.Ermeydan Çiriş S, Yıldırım H. Hermite-Hadamard Inequalities for Generalized $\zeta -$Conformable Integrals Generated by Co-Ordinated Functions. Math. Sci. Appl. E-Notes. 2025;13(1):36-53. doi:10.36753/mathenot.1500238

Chicago

Ermeydan Çiriş, Sümeyye, and Hüseyin Yıldırım. 2025. “Hermite-Hadamard Inequalities for Generalized $\zeta -$Conformable Integrals Generated by Co-Ordinated Functions”. Mathematical Sciences and Applications E-Notes 13 (1): 36-53. https://doi.org/10.36753/mathenot.1500238.

EndNote

Ermeydan Çiriş S, Yıldırım H (March 1, 2025) Hermite-Hadamard Inequalities for Generalized $\zeta -$Conformable Integrals Generated by Co-Ordinated Functions. Mathematical Sciences and Applications E-Notes 13 1 36–53.

IEEE

[1]S. Ermeydan Çiriş and H. Yıldırım, “Hermite-Hadamard Inequalities for Generalized $\zeta -$Conformable Integrals Generated by Co-Ordinated Functions”, Math. Sci. Appl. E-Notes, vol. 13, no. 1, pp. 36–53, Mar. 2025, doi: 10.36753/mathenot.1500238.

ISNAD

Ermeydan Çiriş, Sümeyye - Yıldırım, Hüseyin. “Hermite-Hadamard Inequalities for Generalized $\zeta -$Conformable Integrals Generated by Co-Ordinated Functions”. Mathematical Sciences and Applications E-Notes 13/1 (March 1, 2025): 36-53. https://doi.org/10.36753/mathenot.1500238.

JAMA

1.Ermeydan Çiriş S, Yıldırım H. Hermite-Hadamard Inequalities for Generalized $\zeta -$Conformable Integrals Generated by Co-Ordinated Functions. Math. Sci. Appl. E-Notes. 2025;13:36–53.

MLA

Ermeydan Çiriş, Sümeyye, and Hüseyin Yıldırım. “Hermite-Hadamard Inequalities for Generalized $\zeta -$Conformable Integrals Generated by Co-Ordinated Functions”. Mathematical Sciences and Applications E-Notes, vol. 13, no. 1, Mar. 2025, pp. 36-53, doi:10.36753/mathenot.1500238.

Vancouver

1.Sümeyye Ermeydan Çiriş, Hüseyin Yıldırım. Hermite-Hadamard Inequalities for Generalized $\zeta -$Conformable Integrals Generated by Co-Ordinated Functions. Math. Sci. Appl. E-Notes. 2025 Mar. 1;13(1):36-53. doi:10.36753/mathenot.1500238