ABOUT SOME POWER SERIES INEQUALITIES AND TRACE INEQUALITIES

被引：0
|
作者：
Ciurdariu, Loredana [1 ]
机构：
[1] Politehn Univ Timisoara, Timisoara 300006, Romania
来源：
JOURNAL OF SCIENCE AND ARTS | 2018年 / 02期
关键词：
Young-type inequality; Hilbert-Schmidt norm; Power series; Trace inequalities;
D O I：
暂无
中图分类号：
O [数理科学和化学]; P [天文学、地球科学]; Q [生物科学]; N [自然科学总论];
学科分类号：
07 ; 0710 ; 09 ;
摘要：
The aim of this paper is to present: several new inequalities for power series with real coefficients by using a Young-type inequality for sequences of complex numbers, a matrix analogue for the Hilbert-Schmidt norm and a trace inequality for positive operators in Hilbert spaces, starting from a refinement of the classical Kittaneh-Manasrah inequality. Then several consequences as applications will be presented for special functions such as polylogarithm and for elementary functions.
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页码：421 / 438
页数：18
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