Approximation operators – solutions and questions
Abstract The paper gartes some results concerning linear approximation operators and it raises three open problems. AuthorsOctavian Agratini Department of…
Approximation Theory
On some wavelet type linear operators
Abstract In this paper is introduced a general a class \(\left( L_{k}\right)_{k\in\mathbb{Z}}\) of linear positive operators of wavelet type. The…
The mysterious wavelets world
Abstract This survey paper contains the basic ideas of windowed Fourier transform, wavelet transform, wavelet bases and multiresolution analysis, providing…
On some new operators of discrete type
Abstract In this paper we are dealing with a general class of linear and positive operators of discrete type. We…
On the rate of convergence for semigroups and processes of Feller type
Abstract Based on the probabilistic theory, the paper contains local estimates of the rate of convergence for contraction~\(C_{0}\)-semigroup. Simultaneously a…
Binomial polynomials and their applications in Approximation Theory
Abstract In this paper we are concerned with the sequences of polynomials of binomial type. In particular we point out…
Korovkin type error estimates for Meyer-Konig and Zeller operators
Abstract In this paper we construct a linear and positive approximation process of discrete type which includes as a particular…
An approximation process of Kantorovich type
Abstract The paper is devoted to the study of an approximation process on an unbounded interval representing an integral form…
On a certain class of approximation operators
Abstract The paper is devoted to the study of an approximation process \(K_{n}^{H}\) representing an integral form in Kantorovich sense…
Properties concerning the Baskakov-Beta operators
Abstract Starting from a positive summation integral operator we present linear combinations of these operators which under definite conditions approximate…