Variations in the Tensorial Trapezoid Type Inequalities for Convex Functions of Self-Adjoint Operators in Hilbert Spaces

被引：5

作者：

Stojiljkovic, Vuk ^{[1
]}

Mirkov, Nikola ^{[2
]}

Radenovic, Stojan ^{[3
]}

机构：

[1] Univ Novi Sad, Fac Sci, Trg Dositeja Obradovica 3, Novi Sad 21000, Serbia

[2] Univ Belgrade, Vinca Inst Nucl Sci, Natl Inst Republ Serbia, Mike Petrovica Alasa 12-14, Belgrade 11351, Serbia

[3] Univ Belgrade, Fac Mech Engn, Kraljice Marije 16, Belgrade 11120, Serbia

来源：

SYMMETRY-BASEL | 2024年 / 16卷 / 01期

关键词：

tensorial product; self-adjoint operators; convex functions; HERMITE-HADAMARD;

D O I：

10.3390/sym16010121

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：

In this paper, various tensorial inequalities of trapezoid type were obtained. Identity from classical analysis is utilized to obtain the tensorial version of the said identity which in turn allowed us to obtain tensorial inequalities in Hilbert space. The continuous functions of self-adjoint operators in Hilbert spaces have several tensorial norm inequalities discovered in this study. The convexity features of the mapping f lead to the variation in several inequalities of the trapezoid type.

引用

页数：11

共 43 条

[41] n-Points Inequalities of Hermite-Hadamard Type for h-Convex Functions on Linear Spaces
Dragomir, S. S.
ARMENIAN JOURNAL OF MATHEMATICS, 2016, 8 (01): : 38 - 57
[42] Approximating n-time differentiable functions of selfadjoint operators in Hilbert spaces by two point Taylor type expansion
Dragomir, S. S.
COMPUTERS & MATHEMATICS WITH APPLICATIONS, 2011, 61 (10) : 2958 - 2970
[43] Hermite-Hadamard and Hermite-Hadamard-Fejer type inequalities for p-convex functions via new fractional conformable integral operators
Mehreen, Naila
Anwar, Matloob
JOURNAL OF MATHEMATICS AND COMPUTER SCIENCE-JMCS, 2019, 19 (04): : 230 - 240

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