Results 41 to 50 of about 206,778 (282)

The hermite-hadamard type inequalities for operator s-convex functions [PDF]

, 2014
In this paper we introduce operator s-convex func- tions and establish some Hermite-Hadamard type inequalities in which some operator s-convex functions of positive operators in Hilbert spaces are involved.Comment: 11 ...
Ghazanfari, Amir Ghasem
core   +1 more source

Generalized proportional fractional integral functional bounds in Minkowski’s inequalities

Advances in Difference Equations, 2021
In this research paper, we improve some fractional integral inequalities of Minkowski-type. Precisely, we use a proportional fractional integral operator with respect to another strictly increasing continuous function ψ.
Tariq A. Aljaaidi, Deepak B. Pachpatte, Wasfi Shatanawi, Mohammed S. Abdo, Kamaleldin Abodayeh   +4 more
doaj   +1 more source

High Order Riesz Transforms and Mean Value Formula for Generalized Translate Operator [PDF]

, 2013
In this paper, the mean value formula depends on the Bessel generalized shift operator corresponding to the solutions of the boundary value problem related to the Bessel operator are studied.
Ekincioglu, I., Keskin, C., Sayan, H. H.
core   +2 more sources

An operator inequality related to Jensen’s inequality [PDF]

Proceedings of the American Mathematical Society, 2001
Summary: For bounded non-negative operators \(A\) and \(B\), Furuta showed \[ 0\leq A \leq B \text{ implies } A^{\frac{r}{2}}B^sA^{\frac{r}{2}} \leq (A^{\frac{r}{2}}B^tA^{\frac{r}{2}})^{\frac{s+r}{t+r}}\quad (0\leq r, 0\leq s \leq t).
openaire   +2 more sources

Operator Ky Fan type inequalities

, 2018
In this paper, we extend some significant Ky Fan type inequalities in a large setting to operators on Hilbert spaces and derive their equality conditions.
Habibzadeh, S., Moslehian, M. S., Rooin, J.   +2 more
core   +1 more source

Operator Aczél inequality

Linear Algebra and its Applications, 2011
p pages; to appear in Linear Algebra Appl. (LAA)
openaire   +2 more sources

Operator inequalities and normal operators

Banach Journal of Mathematical Analysis, 2012
Over the last years, a lot of work has appeared on operator inequalities. The present authors use some advantages offered by the context of finite-dimensional Hilbert spaces and establish complete characterizations of certain distinguished classes of operators (self-adjoint, unitary reflection, normal) in terms of operator inequalities.
Menkad, Safa, Seddik, Ameur
openaire   +2 more sources

Local maximal functions and operators associated to Laguerre expansions [PDF]

, 2014
In this paper we get sharp conditions on a weight v which allow us to obtain some weighted inequalities for a local Hardy-Littlewood Maximal operator defined on an open set in the Euclidean n-space.
Viola, Pablo Sebastian, Viviani, Beatriz Eleonora   +1 more
core   +1 more source

Curvature dependent lower bounds for the first eigenvalue of the Dirac operator

, 2003
Using Weitzenb\"ock techniques on any compact Riemannian spin manifold we derive inequalities that involve a real parameter and join the eigenvalues of the Dirac operator with curvature terms.
Friedrich, Friedrich, Friedrich, K.-D Kirchberg, Kirchberg, Kramer   +5 more
core   +1 more source

A novel method for Milne-type inequalities using proportional Caputo-hybrid operator

Miskolc Mathematical Notes
In mathematics and the applied sciences, fractional calculus is a significant generalization and a very useful tool as it overcomes many limitations of classical analysis.
İzzetti̇n Demi̇r
doaj   +1 more source