Results 1 to 10 of about 8,464,085 (281)

Use of identity of A. Hurwitz for construction of a linear positive operator of approximation

Journal of Numerical Analysis and Approximation Theory, 2002
By using a general algebraic identity of Adolf Hurwitz [1], which generalizes an important identity of Abel, we construct a new operator \(S_m^{(\beta_1,\ldots,\beta_m)}\) approximating the functions. A special case of this is the operator \(Q_m^\beta\)
Dimitrie D. Stancu
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Approximation Properties of the Strong Difference Operators

Ibn Al-Haitham Journal for Pure and Applied Sciences, 2017
    In this paper , we study some approximation  properties of the strong difference and study the relation between the strong difference and the weighted modulus of ...
S. K. Al-Saidy, A. A. Hamood
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On the modified beta approximating operators of second kind

Journal of Numerical Analysis and Approximation Theory, 2005
We shall define a general linear operator from which we obtain as particular case the modified beta second kind operator\[(T_{p,q}f)(x)=\frac{1}{B(p,q)}\int_0^\infty\tfrac{u^{p-1}}{(1+u)^{p+q}}f\left(\frac{B(p,q)}{B(p+a,q-a)}u^ax\right){\rm d}u.\] We ...
Vasile Miheşan
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Resolvent compositions for positive linear operators

Positivity
Abstract Resolvent compositions were recently introduced as monotonicity-preserving operations that combine a set-valued monotone operator and a bounded linear operator. They generalize in particular the notion of a resolvent average. We analyze the resolvent compositions when the monotone operator is a positive linear operator.
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On summability and positive linear operators

Journal of Approximation Theory, 1979
AbstractQuantitative estimates for approximation by positive linear operators are obtained with the use of a summability method which includes both convergence and almost convergence.
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Preserving properties of some Szasz-Mirakyan type operators

Journal of Numerical Analysis and Approximation Theory
For a family of Szasz-Mirakyan type operators we prove that they preserve convex-type functions and that a monotonicity property verified by Cheney and Sharma in the case Szasz-Mirakyan operators holds for the variation study here.
Jorge Bustamante
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Positive Linear Operators Preserving ? and ?2

, 2019
In the paper we introduce a general class of linear positive approximation processes defined on bounded and unbounded intervals designed using an appropriate function. Voronovskaya type theorems are given for these new constructions. Some examples including well known operators are presented. © 2019 Selcuk University. All Rights Reserved.
ACAR, TUNCER, ARAL, ALI, RAŞA, IOAN
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Positive Linear Maps of Operator Algebras [PDF]

Acta Mathematica, 1963
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High order approximation theory for Banach space valued functions

Journal of Numerical Analysis and Approximation Theory, 2017
Here we study quantitatively the high degree of approximation of sequences of linear operators acting on Banach space valued di§erentiable functions to the unit operator. These operators are bounded by real positive linear companion operators.
George A. Anastassiou
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Homogeneous Extensions of Positive Linear Operators [PDF]

Transactions of the American Mathematical Society, 1961
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