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.
引用
收藏
页码：421 / 438
页数：18
相关论文
共 36 条
  • [1] Young-type inequalities and their matrix analogues
    Alzer, Horst
    da Fonseca, Carlos M.
    Kovacec, Alexander
    [J]. LINEAR & MULTILINEAR ALGEBRA, 2015, 63 (03) : 622 - 635
  • [2] Ando T, 1995, OPER THEOR, V75, P33
  • [3] Barnard R. W., 2007, PURE APPL MATH, V8, P1
  • [4] Bhatia R, 2007, PRINC SER APPL MATH, P1
  • [5] Positive definite functions and operator inequalities
    Bhatia, R
    Parthasarathy, KR
    [J]. BULLETIN OF THE LONDON MATHEMATICAL SOCIETY, 2000, 32 : 214 - 228
  • [6] Ciurdariu L., 2015, APPL MATH SCI, V9, P5573
  • [7] Ciurdariu L., 2007, SERIA MATEMATICA INF, VXLV, P131
  • [8] Trace inequalities for positive operators via recent refinements and reverses of Young's inequality
    Dragomir, S. S.
    [J]. SPECIAL MATRICES, 2018, 6 (01): : 180 - 192
  • [9] Cebysev's type inequalities for functions of selfadjoint operators in Hilbert spaces
    Dragomir, S. S.
    [J]. LINEAR & MULTILINEAR ALGEBRA, 2010, 58 (07) : 805 - 814
  • [10] Dragomir S. S, 2015, RES GROUP MATH INEQU, V18, P131
1234