Malaysian Journal of Mathematical Sciences, December 2024, Vol. 18, No. 4
Inequalities of the Hermite-Hadamard Type for Stochastic Processes with Convexity-Preserving Properties
Laarichi, Y., Rholam, O., Elkaf, M., and Ftouhi, M.
Corresponding Email: [email protected]
Received date: 14 April 2024
Accepted date: 14 August 2024
Abstract:
In this study, we delve into the exploration of Hermite-Hadamard type inequalities specifically tailored for stochastic processes with convexity-preserving properties. The primary research objective is to examine the convexity characteristics of the derivatives of these processes, establishing new bounds and providing deeper insights into their behavior. Through a systematic investigation, we aim to expand upon the classical Hermite-Hadamard inequality by incorporating these unique stochastic processes. By employing a recently introduced fractional integral operator, the analysis introduces a novel dimension to the study of mathematical inequalities in the context of stochastic processes.
Keywords: Hermite-Hadamard inequalities; stochastic processes; inequalities in mathematical analysis
