%0 Journal Article
%T A Sandwich Theorem for <i>m</i>-Convex Stochastic Processes
%A &#193
%A ngel Padilla
%A Ronald Ram&#237
%A rez
%A Maira Valera-L&#243
%A pez
%J Advances in Pure Mathematics
%P 459-471
%@ 2160-0384
%D 2025
%I Scientific Research Publishing
%R 10.4236/apm.2025.157021
%X In this paper, we present some properties of <i>m</i>-convex stochastic processes. The most important results are: a generalization of the sandwich theorem and a result on Hyers-Ulam stability, given for <i>m</i>-convex functions. The first result allows us to bound an <i>m</i>-convex stochastic process by two convex stochastic processes, and the second allows us to approximate controlled perturbations of an <i>m</i>-convex stochastic process by an <i>m</i>-convex function. As a consequence of these two results, we obtain a Hermite-Hadamard type inequality for <i>m</i>-convex stochastic processes.
%K <i>m</i>-Convex Stochastic Processes
%K Hermite-Hadamard Inequality
%K Sandwich Theorem
%K Hyer-Ulam&#8217
%K s Stability
%U http://www.scirp.org/journal/PaperInformation.aspx?PaperID=143948