A conjecture related to the approximation operators of binomial type.
A generalization of Durrmeyer type.
A Global Approximation Theorem for Meyer-König and Zeller Operators.
A new approach to nonlinear singular integral operators depending on three parameters
In this paper, we present some theorems on weighted approximation by two dimensional nonlinear singular integral operators in the following form: T λ ( f ; x , y ) = ∬ R 2 ( t − x , s − y , f ( t , s ) ) d s d t , ( x , y ) ∈ R 2 , λ ∈ Λ , where Λ is a set of non-negative numbers with accumulation point λ0.
A remark on a theorem of A. B. Németh regarding the convergence of sequences of linear operators on space C[a,b]
A type of continuous projections
About a class of linear positive operators obtained by choosing the nodes.
Abstract Korovkin-type theorems in modular spaces and applications
We prove some versions of abstract Korovkin-type theorems in modular function spaces, with respect to filter convergence for linear positive operators, by considering several kinds of test functions. We give some results with respect to an axiomatic convergence, including almost convergence. An extension to non positive operators is also studied. Finally, we give some examples and applications to moment and bivariate Kantorovich-type operators, showing that our results are proper extensions of the...
An approximation in the -norm by Hermite interpolation.
Application of Mazur-Orlicz's theorem in AMISE calculation
An approximation error and an asymptotic formula are given for shift invariant operators of polynomial order ϱ. Density estimators based on shift invariant operators are introduced and AMISE is calculated.
Approximation by Positive Operators.
Approximation for the invariant measures of Markov maps in Rd.
Approximation of a function by Kantorovich type operators
Approximation of -Continuous and -Differentiable functions by GBS operators of Bernstein bivariate polynomials.
Approximation of -continuous and -differentiable functions by GBS operators defined by infinite sum.
Approximation of continuous convex-cone-valued functions by monotone operators
In this paper we study the approximation of continuous functions F, defined on a compact Hausdorff space S, whose values F(t), for each t in S, are convex subsets of a normed space E. Both quantitative estimates (in the Hausdorff semimetric) and Bohman-Korovkin type approximation theorems for sequences of monotone operators are obtained.
Approximation of Distribution Spaces by Means of Kernel Operators.
Approximation properties of a generalization of Bleimann, Butzer and Hahn operators.
Approximation Properties Of A Sequence Of Linear Positive Operators
Approximation properties of a sequence of linear positive operators.