INTEGRAL REPRESENTATIONS OF GENERALIZED WHITELEY MEANS AND RELATED INEQUALITIES

Pecaric J.; Peric I.; Lipanovic M. Rodic

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INTEGRAL REPRESENTATIONS OF GENERALIZED WHITELEY MEANS AND RELATED INEQUALITIES

机译：广义Whiteley均值的积分表示及相关不等式。

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摘要

The main purpose of this paper 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.

机译：本文的主要目的是给出广义Whiteley均值的两个积分表示，它们是完全对称均值的自然泛化。给出了各种应用，主要是为了获得诸如Schur不等式的完全对称方法的不等式特征。还讨论了这种方法的Schur凸性和相关的完全对称函数。

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《Mathematical inequalities & applications》 |2009年第2期|共15页
作者
Pecaric J.; Peric I.; Lipanovic M. Rodic;
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原文格式 PDF
正文语种 eng
中图分类 510MF001;
关键词
complete symmetric polynomials; complete symmetric means; generalized Whiteley means; integral representations; Schur's inequality; Schur's convexity;

机译：完全对称多项式;完全对称均值;广义Whiteley均值;积分表示;Schur不等式;Schur凸性;

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1. INTEGRAL REPRESENTATIONS OF GENERALIZED WHITELEY MEANS AND RELATED INEQUALITIES [J] . Pecaric J., Peric I., Lipanovic M. Rodic Mathematical inequalities & applications . 2009,第2期

机译：广义Whiteley均值的积分表示及相关不等式。
2. New generalized reverse Minkowski and related integral inequalities involving generalized fractional conformable integrals [J] . Saima Rashid, Ahmet Ocak Akdemir, Kottakkaran Sooppy Nisar, Journal of inequalities and applications . 2020,第a期

机译：新的广义反向Minkowski及相关的整体不等式，涉及广义分数适形积分
3. Some integral inequalities for m-convex functions via generalized fractional integral operator containing generalized Mittag-Leffler function [J] . G. Abbas, G. Farid, Lishan Liu Cogent Mathematics . 2018,第1期

机译：通过包含广义Mittag-Leffler函数的广义分数积分算子，m-凸函数的一些积分不等式
4. Analysis on stability for generalized neural networks with time-varying delays via second-order orthogonal polynomials-based integral inequality [C] . Seok Young Lee, Min Su Kim, Chaneun Park, International conference on control, automation and systems . 2017

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INTEGRAL REPRESENTATIONS OF GENERALIZED WHITELEY MEANS AND RELATED INEQUALITIES

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