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Refinements of Holder and Minkowski Inequalities with Weights (CROSBI ID 196909)
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Horvath, L. ; Khan, Kh. Ale ; Pečarić, Josip
Refinements of Holder and Minkowski Inequalities with Weights // Proceedings of A. Razmadze Mathematical Institute, 158 (2012), 33-56
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Horvath, L. ; Khan, Kh. Ale ; Pečarić, Josip
engleski
Refinements of Holder and Minkowski Inequalities with Weights
We establish refinements of the inequality between quasiarithmetic means with the help of generalized mixed means. This leads to generalizations of the Holder's and Minkowski's inequalities. To derive the main results we use refinements of the discrete Jensen's inequality for functions of several variables, given in [3].
Convex function; mixed symmetric means; function of several variables
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