On some properties and integral inequalities for modified (p,h)-convex Stochastic processes

Open Journal of Mathematical Sciences 2026 Open access

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Authors: Amad Adrees, Waqar Afzal, Khurram Shabbir, Nahed Mustafa Dahshan, Amani Elseid Abuzeid, Ranya A. Tahir, Muhammad Tariq, Hijaz Ahmad
DOI: 10.30538/oms2026.0300
Cited by: 1

Abstract

In this paper, we introduce and study the class of modified (p,h)-convex stochastic processes, which unifies and extends several existing notions of convexity in the stochastic setting. We establish fundamental arithmetic properties of this class and derive Hermite–Hadamard-type inequalities using classical and fractional Katugampola-type operators. We also investigated Ostrowski-type and Jensen-type inequalities in a simple and unified framework. Our results generalize and unify many existing results in the literature, providing a comprehensive framework for the study of convex stochastic processes.

Fields of Study & Subjects

Mathematical Inequalities and Applications Approximation Theory and Sequence Spaces Optimization and Variational Analysis

Publication details

Journal / source
Open Journal of Mathematical Sciences
Publisher
Ptolemy Scientific Research Press
Volume
10
Pages
477–491
Publication date
9 May 2026