@article{Azhar2025, 
author = {Faiza Azhar and Muhammad Imran Asjad and Imran Abbas Baloch and Manuel De la Sen},
title = {Hermite-Hadamard, Fejér and Jensen-type inequalities via    p-harmonic convex functions with numerical validation and graphical insights},
year = {2025},
journal = {AIMS Mathematics},
volume = {10},
number = {12},
pages = {30109-30133},
keywords = {convex functions, harmonic convex functions, p-harmonic convex functions, Jensen's inequality, Fejér type inequality, Hermite-Hadamard inequality},
url = {https://www.sciopen.com/article/10.3934/math.20251323},
doi = {10.3934/math.20251323},
abstract = {This paper deals with the generalized version of Hermite-Hadamard and Fejér-type inequalities. Some classical results are extended to a newly introduced category of    p-harmonic convex functions for which explicit bounds are also established. Additionally, novel discrete versions of existing inequalities for univariate    p-harmonic convex functions over linear spaces are also provided. For validation, the classical results are retrieved by letting    p  →  1, which clearly indicates the accuracy of the achieved results. Finally, tabular and graphical analysis is presented to show the improved results with    p-harmonic convex functions over existing literature.}
}