Hermite-Hadamard and Fejér-type inequalities for generalized η-convex stochastic processes

Jaya Bisht, Rohan Mishra and A. Hamdi

Communications in Statistics - Theory and Methods, 2024, vol. 53, issue 15, 5299-5310

Abstract: In this article, we introduce the concept of (η1,η2)-convex stochastic processes on coordinates and establish Hermite-Hadamard-type inequality for these stochastic processes. Moreover, we prove new integral inequality of Hermite-Hadamard-Fejér type for newly defined coordinated η-convex stochastic processes on a rectangle. The results presented in this article would provide extensions of those given in earlier works.

Date: 2024
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DOI: 10.1080/03610926.2023.2218506

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