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arXiv · 2409.02450

Some extensions from famous theorems for $h$-mid-convex function

Amir Garejelo·Farzollah Mirzapour·Ali Morassaei
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Abstract

In this paper, we prove that every continuous $h$-mid-convex with suitable conditions on $h$ is $h$-convex function. Also, we extend Ostrowski theorem, Blumberg-Sierpinski theorem, Bernstein-Doetsch theorem, Mehdi theorem.

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Amir Garejelo, Farzollah Mirzapour, Ali Morassaei. 2024-09-04. Some extensions from famous theorems for $h$-mid-convex function. https://arxiv.org/abs/2409.02450

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