FURTHER MEAN INEQUALITIES VIA SOME INTEGRAL INEQUALITIES
Abstract
Intensive eorts aiming to establish interesting inequalities involving
some bivariate means have been recently carried out. 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 Gruss inequality and the Ostrowski inequality we derive a lot of estimations for dierences between some standard means and weighted means.
some bivariate means have been recently carried out. 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 Gruss inequality and the Ostrowski inequality we derive a lot of estimations for dierences between some standard means and weighted means.
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