Generalized convex functions on fractal sets and two related inequalities
type: Item
instance of: scholarly article
title: Generalized convex functions on fractal sets and two related inequalities
zbMATH Open document ID: 1474.26128
DOI: 10.1155/2014/636751
author: Xin Sui
author: DongYan Yu
author: HuiXia Mo
published in: Abstract and Applied Analysis
publication date: 2019-02-14T00:00:00Z
full work available at URL: https://arxiv.org/abs/1404.3964
review text: Summary: We introduce the generalized convex function on fractal sets \(R^\alpha (0 < \alpha \leq 1)\) of real line numbers and study the properties of the generalized convex function. Based on these properties, we establish the generalized Jensen's inequality and generalized Hermite-Hadamard's inequality. Furthermore, some applications are given.
Mathematics Subject Classification ID: 26D15
Mathematics Subject Classification ID: 26A51
Mathematics Subject Classification ID: 28A80
Mathematics Subject Classification ID: 26A33
zbMATH DE Number: 7022795
Wikidata QID: Q59040255
MaRDI profile type: Publication
OpenAlex ID: W2134436730
arXiv ID: 1404.3964
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description: scientific article