Some well known inequalities for (h1, h2)-convex stochastic process via interval set inclusion relation
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Date
Authors
Afzal, Waqar
Abbas, Mujahid
Eldin, Sayed M.
Khan, Zareen A.
Journal Title
Journal ISSN
Volume Title
Publisher
AIMS Press
Abstract
This note introduces the concept of (h1, h2)-convex stochastic processes using intervalvalued functions. First we develop Hermite-Hadmard (H.H) type inequalities, then we check the results
for the product of two convex stochastic process mappings, and finally we develop Ostrowski and
Jensen type inequalities for (h1, h2)-convex stochastic process. Also, we have shown that this is a
more generalized and larger class of convex stochastic processes with some remark. Furthermore, we
validate our main findings by providing some non-trivial examples.
Description
Keywords
Hermite-Hadamard inequality, Ostrowski inequality, Jensen inequality, Stochastic process, Interval valued functions
Sustainable Development Goals
Citation
Waqar Afzal, Mujahid Abbas, Sayed M. Eldin, Zareen A. Khan. Some well known inequalities for (h1, h2)-convex stochastic process via interval set inclusion relation. AIMS Mathematics, 2023, 8(9): 19913-19932. doi: 10.3934/math.20231015.