Jensen, Ostrowski and Hermite-Hadamard type inequalities for h-convex stochastic processes by means of center-radius order relation

Mujahid Abbas, Waqar Afzal, Thongchai Botmart, Ahmed M. Galal

Research output: Contribution to journalArticlepeer-review

11 Scopus citations

Abstract

In optimization, convex and non-convex functions play an important role. Further, there is no doubt that convexity and stochastic processes are closely related. In this study, we introduce the notion of the h-convex stochastic process for center-radius order in the setting of interval-valued functions (IVF S) which is novel in literature. By using these notions we establish Jensen, Ostrowski, and Hermite-Hadamard (H.H) types inequalities for generalized interval-valued CR-h-convex stochastic processes. Furthermore, the study provides useful examples to support its findings.

Original languageEnglish
Pages (from-to)16013-16030
Number of pages18
JournalAIMS Mathematics
Volume8
Issue number7
DOIs
StatePublished - 2023

Keywords

  • h-convexity
  • Hermite-Hadamard
  • Ostrowski and Jensen inequalities
  • stochastic h-convex

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