Some properties of η-convex stochastic processes

Autor: Chahn Yong Jung, Muhammad Shoaib Saleem, Shamas Bilal, Waqas Nazeer, Mamoona Ghafoor
Jazyk: angličtina
Rok vydání: 2021
Předmět:
Zdroj: AIMS Mathematics, Vol 6, Iss 1, Pp 726-736 (2021)
Druh dokumentu: article
ISSN: 2473-6988
DOI: 10.3934/math.2021044/fulltext.html
Popis: The stochastic processes is a significant branch of probability theory, treating probabilistic models that develop in time. It is a part of mathematics, beginning with the axioms of probability and containing a rich and captivating arrangement of results following from those axioms. In probability, a convex function applied to the expected value of an random variable is always bounded above by the expected value of the convex function of the random variable. The definition of η-convex stochastic process is introduced in this paper. Moreover some basic properties of η-convex stochastic process are derived. We also derived Jensen, Hermite–Hadamard and Ostrowski type inequalities for η-convex stochastic process.
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