Some inequalities of Holder type for quadratic weighted geometric mean of bounded linear operators in Hilbert spaces

Dragomir S. S.

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Some inequalities of Holder type for quadratic weighted geometric mean of bounded linear operators in Hilbert spaces

机译：Hilbert空间中有边线性运算符二次加权几何平均值的持有者类型的一些不等式

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摘要

In this paper, we consider the quadratic weighted geometric mean

机译：在本文中，我们认为二次加权几何平均值

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来源
《Linear & Multilinear Algebra: An International Journal Publishing Articles, Reviews and Problems》 |2018年第4期|共12页
作者
Dragomir S. S.;
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作者单位

Victoria Univ Coll Engn &

Sci Math Melbourne Vic Australia;

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原文格式 PDF
正文语种 eng
中图分类代数、数论、组合理论;
关键词
Weighted geometric mean; weighted harmonic mean; McCarthy's inequality; holder's inequality; young's inequality; operator modulus; arithmetic mean-geometric mean-harmonic mean inequality;

机译：加权几何平均值;加权谐波意味着;麦卡锡的不平等;持有人的不平等;年轻的不平等;操作员模量;算术平均几何平均谐波意味着不平等;

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1. Some inequalities of Holder type for quadratic weighted geometric mean of bounded linear operators in Hilbert spaces [J] . Dragomir S. S. Linear & Multilinear Algebra: An International Journal Publishing Articles, Reviews and Problems . 2018,第1a4期

机译：Hilbert空间中有边线性运算符二次加权几何平均值的持有者类型的一些不等式
2. New inequalities of the Kantorovich type for bounded linear operators in Hilbert spaces [J] . Dragomir SS Linear Algebra and its Applications . 2008,第11a12期

机译：Hilbert空间中有界线性算子的Kantorovich类型的新不等式
3. POWER AND HOLDER TYPE TRACE INEQUALITIES FOR POSITIVE OPERATORS IN HILBERT SPACES [J] . Dragomir Silvestru Sever Studia Scientiarum Mathematicarum Hungarica . 2018,第3期

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4. Weyl type theorems for bounded linear operators on Banach spaces [C] . Pietro Aiena International Course of Mathematical Analysis in Andalucia . 2012

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5. Linear and multilinear fractional operators: Weighted inequalities, sharp bounds, and other properties. [D] . Moen, Kabe. 2009

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6. Weighted inequalities for fractional integral operators and linear commutators in the Morrey-type spaces [O] . Hua Wang -1

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7. Sharp bounds for m-linear Hilbert-type operators on the weighted Morrey spaces [O] . Tserendorj Batbold, Yoshihiro Sawano 2017

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Some inequalities of Holder type for quadratic weighted geometric mean of bounded linear operators in Hilbert spaces

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