Title
Hermite-Hadamard type inequalities with applications
Authors
Year of publication
2017
Published in
Article type
scientific article
Publication language
english
Keywords
EN
- convex functions
- ƒ-divergence
- Hermite-Hadamard’s inequality
- means
- trapezoidal formula
Abstract
EN In this article first, we give an integral identity and prove some Hermite-Hadamard type inequalities for the function ƒ such that |ƒ''|q is convex or concave for q ≥ 1. Second, by using these results, we present applications to ƒ-divergence measures. At the end, we obtain some bounds for special means of real numbers and new error estimates for the trapezoidal formula.
Pages (from - to)
57 - 74
License type
CC BY-NC-ND (attribution - noncommercial - no derivatives)
Full text of article
Access level to full text
public
Ministry points / journal
10
Ministry points / journal in years 2017-2021
10
System created by Poznań University of Technology
and Poznan Supercomputing and Networking Center
Log in through eKonto to add to SIS