VARIANCE JENSEN TYPE INEQUALITIES FOR GENERAL LEBESGUE INTEGRAL WITH APPLICATIONS

Silvestru S. Dragomir

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VARIANCE JENSEN TYPE INEQUALITIES FOR GENERAL LEBESGUE INTEGRAL WITH APPLICATIONS

机译：一般Lebesgue积分的方差Jenseen型不等式及其应用

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摘要

Some inequalities similar to Jensen inequalities for general Lebesgue integral are obtained. Applications for functions of selfadjoint operators and functions of unitary operators on complex Hilbert spaces are provided as well.

机译：获得了一些类似于一般Lebesgue积分的Jensen不等式的不等式。还提供了自伴算子函数和复希尔伯特空间上spaces算子函数的应用。

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来源
《Real analysis exchange》 |2017年第1期|121-147|共27页
作者
Silvestru S. Dragomir;
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作者单位

Mathematics, College of Engineering and Science Victoria University, PO Box 14428 Melbourne City, MC 8001, Australia School of Computer Science and Applied Mathematics, University of the Witwatersrand, Private Bag 3, Johannesburg 2050, South Africa;

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1. Lebesgue Integral Inequalities of Jensen Type for $lambda $-Convex Functions [J] . Dragomir S. S. Armenian journal of mathematics . 2018,第8期

机译：$ lambda $-凸函数的Jensen型Lebesgue积分不等式
2. JENSEN TYPE INEQUALITIES AND THEIR APPLICATIONS VIA FRACTIONAL INTEGRALS [J] . Abbaszadeh Sadegh, Ebadian Ali, Jaddi Mohsen The Rocky Mountain journal of mathematics . 2018,第8期

机译：Jensen通过分数积分键入不等式及其应用程序
3. Generalization of a Bihari type integral inequality for abstract Lebesgue integral [J] . László Horváth Journal of Mathematical Inequalities . 2008,第1期

机译：抽象Lebesgue积分的Bihari型积分不等式的推广。
4. Holder Type Inequality and Jensen Type Inequality for Choquet Integral [C] . Xuan Zhao, Qiang Zhang Knowledge engineering and management . 2011

机译：Choquet积分的Holder类型不等式和Jensen类型不等式
5. Weighted Norm Inequalities for the Maximal Operator on Variable Lebesgue Spaces over Spaces of Homogeneous Type [D] . ?Cummings, Jeremy 2020

机译：齐型空间上的加权模不等式极大算变勒贝格空间
6. Improvements of Jensen-Type Inequalities for Diamond-α Integrals [O] . Rabia Bibi, Josip Pečarić, Mirna Rodić Lipanović 2014

机译：Diamondα积分的Jensen型不等式的改进
7. General Lebesgue integral inequalities of Jensen and Ostrowski type for differentiable functions whose derivatives in absolute value are h-convex and applications [O] . Sever Dragomir 2015

机译：Jensen的一般Lebesgue积分不等式，oSTrowski型的可分辨率函数，其衍生物在绝对值中是H-Convex和应用程序

VARIANCE JENSEN TYPE INEQUALITIES FOR GENERAL LEBESGUE INTEGRAL WITH APPLICATIONS

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