Variations in the Tensorial Trapezoid Type Inequalities for Convex Functions of Self-Adjoint Operators in Hilbert Spaces-Reference-Cited by-同舟云学术

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

Published:2024-01-19 Issue:1 Volume:16 Page:121
ISSN:2073-8994
Container-title:Symmetry
language:en
Short-container-title:Symmetry

Author:

Stojiljković Vuk¹^ORCID,Mirkov Nikola²^ORCID,Radenović Stojan³^ORCID

Affiliation:

1. Faculty of Science, University of Novi Sad, Trg Dositeja Obradovića 3, 21000 Novi Sad, Serbia

2. “Vinča” Institute of Nuclear Sciences—National Institute of the Republic of Serbia, University of Belgrade, Mike Petrovića Alasa 12–14, 11351 Belgrade, Serbia

3. Faculty of Mechanical Engineering, University of Belgrade, Kraljice Marije 16, 11120 Beograd, Serbia

Abstract

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.

Funder

Ministry of Science, Technological Development and Innovation of the Republic of Serbia

Publisher

MDPI AG

Link

https://www.mdpi.com/2073-8994/16/1/121/pdf

Reference26 articles.

1. Dragomir, S.S., and Pearce, C.E.M. (2000). RGMIA Monographs, Victoria University.

2. Mitrinović, D.S. (1970). Analytic Inequalities, Springer.

3. Pečarić, J., Proschan, F., and Tong, Y. (1992). Convex Functions, Partial Orderings, and Statistical Applications, Academic Press, Inc.

4. On new inequalities of Simpson’s type for convex functions;Sarikaya;Res. Group Math. Inequalities Appl. Res. Rep. Coll.,2010

5. Inequalities for differentiable mappings and applications to special means of real numbers and to midpoint formula;Kirmaci;Appl. Math. Comput.,2004

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