On Gamma-Type Approximation Operators.
On global approximation properties of abstract integral operators in Orlicz spaces and applications.
On integral Bernstein operators in some classes of measurable bivariate functions.
On rate of approximation by modified Beta operators.
On sequences off linear functionals and some operators of the class .
On some classes of Bernstein type operators which preserve the global smoothness in the case of univariate functions.
On some constants in approximation by Bernstein operators.
On some shift invariant integral operators, univariate case
In recent papers the authors studied global smoothness preservation by certain univariate and multivariate linear operators over compact domains. Here the domain is ℝ. A very general positive linear integral type operator is introduced through a convolution-like iteration of another general positive linear operator with a scaling type function. For it sufficient conditions are given for shift invariance, preservation of global smoothness, convergence to the unit with rates, shape preserving and...
On the Approximation by Convolution Operators in Homogeneous Banach Spaces of Periodic Functions
AMS Subject Classification 2010: 41A25, 41A27, 41A35, 41A36, 41A40, 42Al6, 42A85.The paper is concerned with establishing direct estimates for convolution operators on homogeneous Banach spaces of periodic functions by means of appropriately defined Kfunctional. The differential operator in the K-functional is defined by means of strong limit and described explicitly in terms of its Fourier coefficients. The description is simple and independent of the homogeneous Banach space. Saturation of such...
On the approximation of continuous functions.
On the approximation of functions on locally compact abelian groups.
On the degree of approximation by Bernstein operators.
On the gamma and beta approximation operators.
On the generalized Favard-Kantorovich and Favard-Durrmeyer operators in exponential function spaces.
On the iterative combinations of Baskakov operator.
On the order of approximation of functions by the bidimensional operators Favard-Szász-Mirakyan.
On the rate of convergence for bivariate Beta operators.
On the Sharpness of Non-Optimal Approximation for Semigroup Operators.
Projections in uniform polynomial approximations
Properties of a new class of recursively defined Baskakov-type operators
By starting from a recent paper by Campiti and Metafune [7], we consider a generalization of the Baskakov operators, which is introduced by replacing the binomial coefficients with other coefficients defined recursively by means of two fixed sequences of real numbers. In this paper, we indicate some of their properties, including a decomposition into an expression which depends linearly on the fixed sequences and an estimation of the corresponding order of approximation, in terms of the modulus...