A new generalization of Aczel's inequality and its applications to an improvement of Bellman's inequality

Wu S; Debnath L

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A new generalization of Aczel's inequality and its applications to an improvement of Bellman's inequality

机译：Aczel不等式的新概括及其在改善Bellman不等式中的应用

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摘要

A new generalized version of Aczel's inequality is proved. This is a unified generalization of some known results. Moreover, the result is applied to the improvement of the well-known Bellman's inequality. (C) 2007 Elsevier Ltd. All rights reserved.

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《Applied mathematics letters》 |2008年第6期|共6页
作者
Wu S; Debnath L;
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原文格式 PDF
正文语种 eng
中图分类应用数学;
关键词
Aczel's inequality; Bellman's inequality; power means inequality; cebysev's inequality; generalization; POPOVICIUS INEQUALITY;

机译：Aczel不等式;Bellman不等式;幂意味着不等式;cebysev不等式;一般化;POPOVICIUS不等式;

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专利

1. A new generalization of Aczel's inequality and its applications to an improvement of Bellman's inequality [J] . Wu S, Debnath L Applied mathematics letters . 2008,第6期

机译：Aczel不等式的新概括及其在改善Bellman不等式中的应用
2. About a generalization of Bellman-Bihari type inequalities for discontinuous functions and their applications [J] . Mitropolskiy YA, Iovane G, Borysenko SD Nonlinear Analysis: An International Multidisciplinary Journal . 2007,第10期

机译：关于不连续函数的Bellman-Bihari型不等式的推广及其应用
3. Improvement and further generalization of inequalities for differentiable mappings and applications [J] . Ugur S. Kirmaci Computers & mathematics with applications . 2008,第3期

机译：改进和进一步推广了可微映射和应用中的不等式
4. Generalization of Lemma Gronwall-Bellman on Retarded Integral Inequality [C] . Wu-Sheng Wang, Zhengfang Mo, Zongyi Hou International conference on informatics and management science;IMS 2012 . 2013

机译：引理积分不等式的引理Gronwall-Bellman的推广
5. A Modified Chang-Wilson-Wolff Inequality via the Bellman Function [D] . Riely, Henry Dreyer. 2019

机译：通过Bellman函数修正的Chang-Wilson-Wolff不等式
6. Generalizations on Some Hermite-Hadamard Type Inequalities for Differentiable Convex Functions with Applications to Weighted Means [O] . Banyat Sroysang -1

机译：可微凸函数的某些Hermite-Hadamard型不等式的推广及其在加权均值上的应用
7. A new generalization of Aczél’s inequality and its applications to an improvement of Bellman’s inequality [O] . Wu Shanhe, Debnath Lokenath 2008

机译：Aczél不等式的新概括及其在改善Bellman不等式中的应用
8. Generalization of an Inequality of Birnbaum and Marshall, with Applications to Growth Rates for Submartingales [R] . Slud, E. V. 1986

机译：Birnbaum和marshall不等式的推广及其对子鞅的增长率的应用

A new generalization of Aczel's inequality and its applications to an improvement of Bellman's inequality

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