Some inequalities for exponentially convex functions on time scales
type: Item
instance of: scholarly article
title: Some inequalities for exponentially convex functions on time scales
zbMATH Open document ID: 1485.26035
author: Svetlin Georgiev
author: V. Darvish
author: Tahere Azimi Roushan
published in: Mathematica Slovaca
publication date: 2021-12-03T00:00:00Z
review text: The authors derive and prove some new Hermite-Hadamard-type inequalities on time scales using the concept of exponentially convex functions. Furthermore, some new integral inequalities for \(n\)-times continuously differentiable functions with exponentially convex first \(\bigtriangleup\)-derivative are also established and discussed.
reviewed by: James A. Oguntuase
Mathematics Subject Classification ID: 26D15
Mathematics Subject Classification ID: 26E70
zbMATH DE Number: 7438432
zbMATH Keywords: time scale
zbMATH Keywords: exponentially convex function
zbMATH Keywords: Hermite-Hadamard inequality
MaRDI profile type: Publication
full work available at URL: ms-2021-0031
OpenAlex ID: W3193037368
cites work: Diamond-\(\alpha \) Jensen's inequality on time scales
cites work: Holder's and Hardy's Two Dimensional Diamond-alpha Inequalities on Time Scales
cites work: Q4797834
cites work: Multivariable Dynamic Calculus on Time Scales
cites work: Q2723195
cites work: First and second order linear dynamic equations on time scales
cites work: Generalizations of Hölder inequality and some related results on time scales
cites work: Hermite-Hadamard type inequalities for exponentially \(p\)-convex functions and exponentially \(s\)-convex functions in the second sense with applications
cites work: An exploration of combined dynamic derivatives on time scales and their applications
DOI: 10.1515/MS-2021-0031
description: scientific article; zbMATH DE number 7438432