Results 41 to 50 of about 769 (85)
The Interpolative Ideal of Bloch Mappings
Journal of Function Spaces, Volume 2025, Issue 1, 2025.Inspired by the interpolative ideal procedure for linear operators due to Matter, the concept of interpolative ideals of a Banach normalized Bloch ideal IB∧ is introduced. For σ ∈ [0, 1), we prove that the generated ideal IB∧σ is an injective Banach normalized Bloch ideal which is located between the injective hull and the closed injective hull of IB∧.
D. Achour +3 more
wiley +1 more source
Some Hermite–Hadamard Type Inequality for the Operator p,P‐Preinvex Function
Journal of Mathematics, Volume 2025, Issue 1, 2025.The goal of the article is to introduce the operator p,P‐preinvex function and present several features of this function. Also, we establish some Hermite–Hadamard type inequalities for this function.
Mahsa Latifi Moghadam +3 more
wiley +1 more source
Concave functions of partitioned matrices with numerical ranges in a sector
, 2017 We prove two inequalities for concave functions and partitioned matrices whose numerical ranges in a sector. These complement some results of Zhang in [Linear Multilinear Algebra 63 (2015) 2511–2517].
L. Hou, D. Zhang
semanticscholar +1 more source
Fundamental Hlawka-like inequalities for three and four vectors
, 2020 We investigate Hlawka-like inequalities for three vectors and determine necessary and sufficient conditions such that a1 3 ∑ i=1 ‖xi‖+a2 ∑ 1 i< j 3 ∥ xi + x j ∥ ∥+a3‖x1 + x2 + x3‖ 0 is satisfied for all x1,x2,x3 in a Hlawka space.
Marius Munteanu
semanticscholar +1 more source
An Operator Extension of Čebyšev Inequality
Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, 2017 Some operator inequalities for synchronous functions that are related to the čebyšev inequality are given. Among other inequalities for synchronous functions it is shown that ∥ø(f(A)g(A)) - ø(f(A))ø(g(A))∥ ≤ max{║ø(f2(A)) - ø2(f(A))║, ║ø)G2(A)) - ø2(g(A))
Moradi Hamid Reza +2 more
doaj +1 more source
Refinements of Hermite-Hadamard type inequalities for operator convex functions
, 2013 The purpose of this paper is to present some new versions of Hermite-Hadamard type inequalities for operator convex functions. We give refinements of Hermite-Hadamard type inequalities for convex functions of self-adjoint operators in a Hilbert space ...
Vildan Bacak, Ramazan Türkmen
semanticscholar +1 more source
Operator inequalities related to weak 2-positivity [PDF]
, 2012 In this paper we introduce the notion of weak 2-positivity and present some examples. We establish some operator Cauchy--Schwarz inequalities involving the geometric mean and give some applications. In particular, we present some operator versions of Hua'
Jun Ichi Fujii, Mohammad Sal, Moslehian
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Power vector inequalities for operator pairs in Hilbert spaces and their applications
Open MathematicsThis study explores the power vector inequalities for a pair of operators (B,C)\left(B,C) in a Hilbert space. By utilizing a Mitrinović-Pečarić-Fink-type inequality for inner products and norms, we derive various power vector inequalities.
Altwaijry Najla +2 more
doaj +1 more source
Norm inequalities of Čebyšev type for power series in Banach algebras
Journal of Inequalities and Applications, 2014 Let f(λ)=∑n=0∞αnλn be a function defined by power series with complex coefficients and convergent on the open disk D(0,R)⊂C, R>0 and x,y∈B, a Banach algebra, with xy=yx.
S. Dragomir +3 more
semanticscholar +1 more source
Some Reverses of the Jensen Inequality for Functions of Selfadjoint Operators in Hilbert Spaces [PDF]
, 2008 Some reverses of the Jensen inequality for functions of selfadjoint operators in Hilbert spaces under suitable assumptions for the involved operators are given.
Dragomir, Sever S
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