Research Article

Hermite-Hadamard Inequalities for $\left(m,p\right) -$Earthquake Convex Functions

Volume: 9 Number: 1 February 6, 2026
Sümeyye Ermeydan Çiriş *, Hüseyin Yıldırım
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Communications in Advanced Mathematical Sciences Cover Communications in Advanced Mathematical Sciences

Hermite-Hadamard Inequalities for $\left(m,p\right) -$Earthquake Convex Functions

Abstract

In this paper, a new class of convex functions, referred to as $\left(m,p\right) -$earthquake convex functions, is introduced. For this class, several Hermite-Hadamard type inequalities are established, yielding explicit two-sided bounds in terms of endpoint values and special functions such as the Gamma and Beta functions. The obtained results provide refined integral estimates and unify a number of known inequalities associated with generalized convexity, thereby extending classical Hermite--Hadamard inequalities to a broader and more flexible framework.

Keywords

Exponential Kernels, $(m,p)-earthquake convex, Multipoint-based Hermite-Hadamard inequality

References

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Details

Primary Language

English

Subjects

Applied Mathematics (Other)

Journal Section

Research Article

Authors

Early Pub Date

February 6, 2026

Publication Date

February 6, 2026

Submission Date

December 11, 2025

Acceptance Date

January 30, 2026

Published in Issue

Year 2026 Volume: 9 Number: 1

DOI

https://doi.org/10.33434/cams.1840476

IZ

https://izlik.org/JA47JE67TD

Cite

RIS / Bibtex
APA
Ermeydan Çiriş, S., & Yıldırım, H. (2026). Hermite-Hadamard Inequalities for $\left(m,p\right) -$Earthquake Convex Functions. Communications in Advanced Mathematical Sciences, 9(1), 1-10. https://doi.org/10.33434/cams.1840476
AMA
1.Ermeydan Çiriş S, Yıldırım H. Hermite-Hadamard Inequalities for $\left(m,p\right) -$Earthquake Convex Functions. Communications in Advanced Mathematical Sciences. 2026;9(1):1-10. doi:10.33434/cams.1840476
Chicago
Ermeydan Çiriş, Sümeyye, and Hüseyin Yıldırım. 2026. “Hermite-Hadamard Inequalities for $\left(m,p\right) -$Earthquake Convex Functions”. Communications in Advanced Mathematical Sciences 9 (1): 1-10. https://doi.org/10.33434/cams.1840476.
EndNote
Ermeydan Çiriş S, Yıldırım H (March 1, 2026) Hermite-Hadamard Inequalities for $\left(m,p\right) -$Earthquake Convex Functions. Communications in Advanced Mathematical Sciences 9 1 1–10.
IEEE
[1]S. Ermeydan Çiriş and H. Yıldırım, “Hermite-Hadamard Inequalities for $\left(m,p\right) -$Earthquake Convex Functions”, Communications in Advanced Mathematical Sciences, vol. 9, no. 1, pp. 1–10, Mar. 2026, doi: 10.33434/cams.1840476.
ISNAD
Ermeydan Çiriş, Sümeyye - Yıldırım, Hüseyin. “Hermite-Hadamard Inequalities for $\left(m,p\right) -$Earthquake Convex Functions”. Communications in Advanced Mathematical Sciences 9/1 (March 1, 2026): 1-10. https://doi.org/10.33434/cams.1840476.
JAMA
1.Ermeydan Çiriş S, Yıldırım H. Hermite-Hadamard Inequalities for $\left(m,p\right) -$Earthquake Convex Functions. Communications in Advanced Mathematical Sciences. 2026;9:1–10.
MLA
Ermeydan Çiriş, Sümeyye, and Hüseyin Yıldırım. “Hermite-Hadamard Inequalities for $\left(m,p\right) -$Earthquake Convex Functions”. Communications in Advanced Mathematical Sciences, vol. 9, no. 1, Mar. 2026, pp. 1-10, doi:10.33434/cams.1840476.
Vancouver
1.Sümeyye Ermeydan Çiriş, Hüseyin Yıldırım. Hermite-Hadamard Inequalities for $\left(m,p\right) -$Earthquake Convex Functions. Communications in Advanced Mathematical Sciences. 2026 Mar. 1;9(1):1-10. doi:10.33434/cams.1840476

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