Geodesic
Further mean inequalities via some integral inequalities
Filomat, Tome 35 (2021) no. 12, p. 4157

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DOI

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 Grüss inequality and the Ostrowski inequality we derive a lot of estimations for differences between some standard means and weighted means
DOI : 10.2298/FIL2112157R
Classification : 26E60, 47A63, 47A64
Keywords: Means, means inequalities, integral inequalities 
Mustapha Raïssouli; Mohamed Chergui. Further mean inequalities via some integral inequalities. Filomat, Tome 35 (2021) no. 12, p. 4157 . doi: 10.2298/FIL2112157R
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     author = {Mustapha Ra{\"\i}ssouli and Mohamed Chergui},
     title = {Further mean inequalities via some integral inequalities},
     journal = {Filomat},
     pages = {4157 },
     year = {2021},
     volume = {35},
     number = {12},
     doi = {10.2298/FIL2112157R},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.2298/FIL2112157R/}
}
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