The orthogonal projections and several inequalities

IF 0.9 4区数学 Q2 MATHEMATICS

Mathematical Inequalities & Applications Pub Date : 2021-01-01 DOI:10.7153/MIA-2021-24-13

N. Minculete, M. Niezgoda

引用次数: 0

Abstract

In this article we study several inequalities related to the orthogonal projections and we established new results related to a pre-Hilbert space. Among these results we will mention the inequality of Ostrowski. We present an improvement of the inequality between the numerical radius of an operator and the norm of an operator and we also show other inequalities for a bounded linear operator. Finally, we show Grüss type inequalities on double ice-cream cones. Mathematics subject classification (2010): 46C05, 26D10, 26D15.

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正交投影和几个不等式

本文研究了与正交投影有关的几个不等式，并建立了与pre-Hilbert空间有关的新结果。在这些结果中，我们将提到Ostrowski不等式。对算子的数值半径与算子范数之间的不等式作了改进，并给出了有界线性算子的其他不等式。最后，我们证明了双层冰淇淋锥上的gr s型不等式。数学学科分类(2010):46C05, 26D10, 26D15。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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来源期刊

Mathematical Inequalities & Applications 数学-数学

CiteScore

2.30

自引率

10.00%

发文量

审稿时长

6-12 weeks

期刊介绍： ''Mathematical Inequalities & Applications'' (''MIA'') brings together original research papers in all areas of mathematics, provided they are concerned with inequalities or their role. From time to time ''MIA'' will publish invited survey articles. Short notes with interesting results or open problems will also be accepted. ''MIA'' is published quarterly, in January, April, July, and October.