New Inequalities of the Kantorovich Type for Bounded Linear Operators in Hilbert Spaces [PDF]
, 2006 Some new inequalities of the Kantorovich type are established. They hold for larger classes of operators and subsets of complex numbers than considered before in the literature and provide refinements of the classical results in the case when the ...
Dragomir, Sever S
core +6 more sources
Some Inequalities for Commutators of Bounded Linear Operators in Hilbert Spaces [PDF]
, 2008 Some new inequalities for commutators that complement and in some instances improve recent results obtained by F. Kittaneh in 'Inequalities for commutators of positive operators' (2007) and 'Norm inequalities for commutators of Hilbert space operators ...
Dragomir, Sever S
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On Kantorovich variant of Brass-Stancu operators
Demonstratio MathematicaIn this study, we deal with Kantorovich-type generalization of the Brass-Stancu operators. For the sequence of these operators, we study Lp{L}^{p}-convergence and give some upper estimates for the Lp{L}^{p}-norm of the approximation error via first-order
Bodur Murat +2 more
doaj +2 more sources
Vector Inequalities for Powers of Some Operators in Hilbert Spaces [PDF]
, 2008 Vector inequalities for powers of some operators in Hilbert spaces with applications for operator norm, numerical radius, commutators and self-commutators are ...
Dragomir, Sever S
core +7 more sources
Norm and Numerical Radius Inequalities for Two Linear Operators in Hilbert Spaces [PDF]
, 2008 Some inequalities for the norm and numerical radius of two bounded linear operators in Hilbert spaces are ...
Dragomir, Sever S
core +5 more sources
Some general Kantorovich type operators [PDF]
Journal of Numerical Analysis and Approximation Theory, 2012 A general class of linear and positive operators of Kantorovich-type is constructed. The operators of this type which preserve exactly two test functions from the set \(\{e_0, e_1, e_2\}\) are determined and their approximation properties and convergence
Petru I. Braica, Ovidiu T. Pop
doaj +3 more sources
Norm and Numerical Radius Inequalities for a Product of Two Linear Operators in Hilbert Spaces [PDF]
, 2006 The main aim of the present paper is to establish some norm and numerical radius inequalities for the composite operator BA under suitable assumptions for the transform Cα ,β (T) := (T∗ −α I)(β I−T) , where α ,β ∈ C and T ∈ B(H), of the operators ...
S. S. Dragomir +2 more
core +2 more sources
A Kantorovich-Stancu Type Generalization of Szasz Operators including Brenke Type Polynomials
Journal of Function Spaces and Applications, 2013 We introduce a Kantorovich-Stancu type modification of a generalization of Szasz operators defined by means of the Brenke type polynomials and obtain approximation properties of these operators.
Rabia Aktaş +2 more
doaj +1 more source
On New Classes of Stancu-Kantorovich-Type Operators
Mathematics, 2021 The present paper introduces new classes of Stancu–Kantorovich operators constructed in the King sense. For these classes of operators, we establish some convergence results, error estimations theorems and graphical properties of approximation for the ...
Bianca Ioana Vasian +2 more
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The Approximation of Bivariate Blending Variant Szász Operators Based Brenke Type Polynomials
Advances in Mathematical Physics, 2018 We have constructed a new sequence of positive linear operators with two variables by using Szasz-Kantorovich-Chlodowsky operators and Brenke polynomials.
Behar Baxhaku +2 more
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