Results 1 to 10 of about 1,971,703 (365)
Jensen's Operator Inequality [PDF]
Bulletin of the London Mathematical Society, 2002 We establish what we consider to be the definitive versions of Jensen's operator inequality and Jensen's trace inequality for functions defined on an interval.
Hansen, Frank, Pedersen, Gert K.
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A generalization of Minkowski’s inequality by Hahn integral operator [PDF]
Journal of Taibah University for Science, 2018 In this paper, we use the Hahn integral operator for the description of new generalization of Minkowski’s inequality. The use of this integral operator definitely generalizes the classical Minkowski’s inequality.
Hasib Khan +4 more
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Some complementary inequalities to Jensen’s operator inequality [PDF]
Journal of Inequalities and Applications, 2018 In this paper, we study some complementary inequalities to Jensen’s inequality for self-adjoint operators, unital positive linear mappings, and real valued twice differentiable functions.
Jadranka Mićić +2 more
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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 space and positive linear mappings between C ...
S. I. B. anović +2 more
semanticscholar +5 more sources
International Journal of Mathematics and Mathematical Sciences, 1984 An inequality is proved in abstract separable Hilbert space H where A and B are bounded self-adjoint positive operators defined in H such that R(A)=R(B) and R(A) is closed.
P. D. Siafarikas
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Approximation of an Additive ϱ1,ϱ2-Random Operator Inequality [PDF]
Journal of Function Spaces, 2020 We solve the additive ϱ1,ϱ2-random operator inequality ξtTω,u+v−Tω,u−Tω,v≥κMξtϱ1Tω,u+v+Tω,u−v−2Tω,u,ξtϱ22Tω,u+v/2−Tω,u−Tω,v, in which ϱ1,ϱ2∈ℂ are fixed and max2ϱ1 ...
Sun Young Jang, Reza Saadati
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An integral operator inequality with applications
Journal of Inequalities and Applications, 1999 Linear integral operators are defined acting in the Lebesgue integration spaces on intervals of the real line. A necessary and sufficient condition is given for these operators to be bounded, and a characterisation is given for the operator bounds ...
Everitt WN, Littlejohn LL, Chisholm RS
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Fuzzy approximation of an additive (ρ_1, ρ_2)-random operator inequality
Miskolc Mathematical Notes, 2023 . We study and solve an additive ( ρ 1 , ρ 2 ) -random operator inequality in which ρ 1 , ρ 2 ∈ C are fixed and max {√ 2 | ρ 1 | , | ρ 2 |} < 1. Finally, we get a fuzzy approximation of the mentioned additive ( ρ 1 , ρ 2 ) -random operator inequality.
E. Pap, R. Saadati
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Operator Jensen’s Inequality for Operator Superquadratic Functions
Axioms, 2022 In this work, an operator superquadratic function (in the operator sense) for positive Hilbert space operators is defined. Several examples with some important properties together with some observations which are related to the operator convexity are ...
Mohammad W. Alomari +2 more
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Journal of Mathematics, 2022 A mixed variational inequality problem involving generalized Yosida approximation operator is considered and studied in q-uniformly smooth Banach space.
Arvind Kumar Rajpoot +3 more
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