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

In this article, we introduce the concept of(n₁,n₂)-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 n-convex stochastic processes on a rectangle. The results presented in this article would provide extensions of those given in earlier works.

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Published in: Communications in Statistics - Theory and Methods
License: http://creativecommons.org/licenses/by-nc/4.0/
See article on publisher's website: https://dx.doi.org/10.1080/03610926.2023.2218506