Some extensions from famous theorems for $h$-mid-convex function
Functional Analysis
2024-09-05 v1
Abstract
In this paper, we prove that every continuous -mid-convex with suitable conditions on is -convex function. Also, we extend Ostrowski theorem, Blumberg-Sierpinski theorem, Bernstein-Doetsch theorem, Mehdi theorem.
Cite
@article{arxiv.2409.02450,
title = {Some extensions from famous theorems for $h$-mid-convex function},
author = {Amir Garejelo and Farzollah Mirzapour and Ali Morassaei},
journal= {arXiv preprint arXiv:2409.02450},
year = {2024}
}