Open AccessFurther mean inequalities via some integral inequalities
Author(s) -
Mustapha Raïssouli,
Mohamed Chergui
Publication year - 2021
Publication title -
filomat
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.449
H-Index - 34
eISSN - 2406-0933
pISSN - 0354-5180
DOI - 10.2298/fil2112157r
Subject(s) - mathematics , inequality , bivariate analysis , pure mathematics , calculus (dental) , algebra over a field , mathematical analysis , statistics , medicine , dentistry
Recently intensive efforts are deployed to establish inequalities involving some bivariate means. In this paper we aim to investigate further mean inequalities. The approach employed here is based on a combination of the integral representations of the involved means with some advanced integral inequalities known in the literature. In particular, applying the Gr?ss inequality and the Ostrowski inequality we derive a lot of estimations for differences between some standard means and weighted means.