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 language | English |
|---|---|
| Pages (from-to) | 16013-16030 |
| Number of pages | 18 |
| Journal | AIMS Mathematics |
| Volume | 8 |
| Issue number | 7 |
| DOIs | |
| Publication status | Published - 2023 |
| Externally published | Yes |
Keywords
- Hermite-Hadamard
- Ostrowski and Jensen inequalities
- h-convexity
- stochastic h-convex
ASJC Scopus subject areas
- General Mathematics