Results 11 to 20 of about 211,767 (331)
Sherman's operator inequality [PDF]
Journal of Mathematical Inequalities, 2021 In this paper we deal with Sherman's inequality and its complementary inequalities for operator convex functions, whose arguments are the bounded self-adjoint operators from C*-algebra on a Hilbert spaces and positive linear mappings between C*-algebras. We introduce the so called Sherman's operator and study its properties.
Bradanović S.I. +2 more
openaire +4 more sources
AIMS Mathematics, 2021 In this paper, we propose a new framework of weighted generalized proportional fractional integral operator with respect to a monotone function Ψ, we develop novel modifications of the aforesaid operator.
Shuang-Shuang Zhou +5 more
doaj +1 more source
On Strongly Convex Functions via Caputo–Fabrizio-Type Fractional Integral and Some Applications
Journal of Mathematics, 2021 The theory of convex functions plays an important role in the study of optimization problems. The fractional calculus has been found the best to model physical and engineering processes.
Qi Li +4 more
doaj +1 more source
Estimates for Tsallis relative operator entropy [PDF]
, 2017 We give the tight bounds of Tsallis relative operator entropy by using Hermite-Hadamard's inequality. Some reverse inequalities related to Young inequalities are also given.
Furuichi, Shigeru +2 more
core +1 more source
New norm equalities and inequalities for operator matrices
Journal of Inequalities and Applications, 2016 We prove new inequalities for general 2 × 2 $2\times2$ operator matrices. These inequalities, which are based on classical convexity inequalities, generalize earlier inequalities for sums of operators. Some other related results are also presented. Also,
Feras Ali Bani-Ahmad, Watheq Bani-Domi
doaj +1 more source
Best approximation of κ-random operator inequalities in matrix MB-algebras
Journal of Inequalities and Applications, 2021 We introduce a class of stochastic matrix control functions and apply them to stabilize pseudo stochastic κ-random operator inequalities in matrix MB-algebras.
Masoumeh Madadi +3 more
doaj +1 more source
A Grüss type operator inequality [PDF]
Annals of Functional Analysis, 2017 In [P. Renaud, "A matrix formulation of Gr\"uss inequality", Linear Algebra Appl. 335 (2001), 95--100] it was proved an operator inequality involving the usual trace functional. In this article, we give a refinement of such result and we answer positively the Renaud's open problem.
Bottazzi, T., Conde, C.
openaire +4 more sources
Journal of Function Spaces, 2022 This paper is aimed at presenting the unified integral operator in its generalized form utilizing the unified Mittag-Leffler function in its kernel. We prove the boundedness of this newly defined operator.
Tingmei Gao +4 more
doaj +1 more source
Time-Scale Integral Inequalities of Copson with Steklov Operator in High Dimension
Journal of Mathematics, 2022 The paper derives some new time-scale (TS) dynamic inequalities for multiple integrals. The obtained inequalities are special cases of Copson integral using Steklov operator in (TS) version with high dimension.
Wedad Albalawi
doaj +1 more source
Generalized Refinements of Reversed AM-GM Operator Inequalities for Positive Linear Maps
Axioms, 2023 We shall present some more generalized and further refinements of reversed AM-GM operator inequalities for positive linear maps due to Xue’s and Ali’s publications.
Yonghui Ren
doaj +1 more source