engleski

Integral representations of generalized Whiteley means and related inequalities

This talk is based on the paper [J. Pečarić, I. Perić, M. Rodić Lipanović: Integral representations of generalized Whiteley means and related inequalities, accepted for publication in Math. Inequal. Appl. (2007)]. The main purpose of this talk is to give two integral representations of generalized Whiteley means which are natural generalization of complete symmetric means. Various applications are given, mainly towards obtaining inequalities characteristic for complete symmetric means such as Schur's inequality. The Schur convexity of this means and related complete symmetric functions is also discussed.

complete symmetric polynomials; complete symmetric means; generalized Whiteley means; integral representations; Schur's inequality; Schur's convexity.

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