Some integral inequalities for harmonical cr-h-Godunova-Levin stochastic processes

Waqar Afzal, Sayed M. Eldin, Waqas Nazeer, Ahmed M. Galal

Research output: Contribution to journalArticlepeer-review

14 Scopus citations

Abstract

An important part of optimization is the consideration of convex and non-convex functions. Furthermore, there is no denying the connection between the ideas of convexity and stochastic processes. Stochastic processes, often known as random processes, are groups of variables created at random and supported by mathematical indicators. Our study introduces a novel stochastic process for center-radius (cr) order based on harmonic h-Godunova-Levin (GL) in the setting of interval-valued functions (IVF S). With some interesting examples, we establish some variants of Hermite-Hadamard (H.H) types inequalities for generalized interval-valued harmonic cr-h-Godunova-Levin stochastic processes.

Original languageEnglish
Pages (from-to)13473-13491
Number of pages19
JournalAIMS Mathematics
Volume8
Issue number6
DOIs
StatePublished - 2023

Keywords

  • cr-order relation
  • Godunova-Levin function
  • Hermite-Hadamard inequality
  • Jensen inequality
  • stochastic h-convex

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