Some well known inequalities for (h1, h2)-convex stochastic process via interval set inclusion relation

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Authors

Afzal, Waqar
Abbas, Mujahid
Eldin, Sayed M.
Khan, Zareen A.

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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.

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Keywords

Hermite-Hadamard inequality, Ostrowski inequality, Jensen inequality, Stochastic process, Interval valued functions

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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.