New class of modified \((m,p,h)\)-convex functions with application to integral inequalities

Volume 38, Issue 3, pp 379--395 https://dx.doi.org/10.22436/jmcs.038.03.07
Publication Date: January 12, 2025 Submission Date: September 30, 2024 Revision Date: November 18, 2024 Accteptance Date: December 04, 2024

Authors

A. Nosheen - Department of Mathematics, University of Sargodha, Sargodha, Pakistan. Kh. A. Khan - Department of Mathematics, University of Sargodha, Sargodha, Pakistan. M. H. Bukhari - Department of Mathematics, University of Sargodha, Sargodha, Pakistan. A. Alburaikan - Department of Mathematics, College of Science, Qassim University, Buraydah, 51452, Saudi Arabia. S. El-Morsy - Department of Mathematics, College of Science, Qassim University, Buraydah, 51452, Saudi Arabia. - Basic Science Department, Nile Higher Institute for Engineering and Technology, Mansoura, Egypt.


Abstract

Modified \((m,p,h)\)-convexity is a new notion that is introduced in this study. It generalizes the classical notion of modified \((p,h)\)-convexity and establishes several important properties for modified \((m,p,h)\)-convex functions. Applications of modified \((m,p,h)\)-convex functions are given in form of extensions of Hermite-Hadamard (H-H), Jensen, and Féjer inequalities. We have shown the validity of results by including several examples of modified \((m,p,h)\)-convex functions and also inspect the viability of proved inequalities by choosing several modified \((m,p,h)\)-convex functions. These results provide powerful tools for analyzing the behavior of modified \((m,p,h)\)-convex functions.


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ISRP Style

A. Nosheen, Kh. A. Khan, M. H. Bukhari, A. Alburaikan, S. El-Morsy, New class of modified \((m,p,h)\)-convex functions with application to integral inequalities, Journal of Mathematics and Computer Science, 38 (2025), no. 3, 379--395

AMA Style

Nosheen A., Khan Kh. A., Bukhari M. H., Alburaikan A., El-Morsy S., New class of modified \((m,p,h)\)-convex functions with application to integral inequalities. J Math Comput SCI-JM. (2025); 38(3):379--395

Chicago/Turabian Style

Nosheen, A., Khan, Kh. A., Bukhari, M. H., Alburaikan, A., El-Morsy, S.. "New class of modified \((m,p,h)\)-convex functions with application to integral inequalities." Journal of Mathematics and Computer Science, 38, no. 3 (2025): 379--395


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