An extension of the Hermite-Hadamard inequality for a power of a convex function

Autor: Sayyari Yamin, Dehghanian Mehdi, Park Choonkil, Paokanta Siriluk
Jazyk: angličtina
Rok vydání: 2023
Předmět:
Zdroj: Open Mathematics, Vol 21, Iss 1, Pp 171-172 (2023)
Druh dokumentu: article
ISSN: 2391-5455
DOI: 10.1515/math-2022-0542
Popis: In this article, we obtain an extension of the classical Hermite-Hadamard inequality for convex functions (concave functions) extending it to the power functions [f(x)]n{[f\left(x)]}^{n}. Some related inequalities are also introduced. By applying those results in analysis, we obtain new upper and lower bounds for the error function.
Databáze: Directory of Open Access Journals