On a problem of A. Lupaş
Abstract At the International Dortmund Meeting held in Witten (March, 1995), Al. Lupas defined a new class of operators. Our…
Approximation Theory
Asymptotic formulae for recursively defined Baskakov-type operators
Abstract We deal with Baskakov-type operators which are defined by replacing the binomial coeffcients with general ones satisfying a recursively…
Construction of Baskakov-type operators by wavelets
Abstract The purpose of this paper is to introduce a class of Baskakov-type operators by means of Daubechies’ compactly-supported wavelets.…
On a functional equation
Abstract This is a survey paper devoted to the following functional equation \[ \sum_{k\in Z}p_{k}u\left( x-k\right) =v\left( x\right) ,\ \…
A bivariate extension of the Bernstein polynomials
Abstract In this paper it is given an extension to two variables of the Bernstein \(B_{n,r}f\) operators and there are…
On modified Beta operators
Abstract In the present paper, we deal with an integral operator of beta-type \(L_{m,y}\) depending on a positive real parameter…
On a class of linear approximating operators
Abstract In this paper we introduce a new class of linear approximating operators \(\left( L_{nr}\right) _{n\geq1},r=0,1,2,…,\) for the functions \(f\in…
On simultaneous approximation by Stancu-Bernstein operators
Abstract AuthorsOctavian Agratini Department of Mathematics, Babes-Bolyai University, Cluj-Napoca, Romania KeywordsLinear positive operators; modulus of continuity; degree of approximation Paper…
A class of Bleimann, Butzer and Hahn type operators
Abstract In this paper we introduce a Bleimann, Butzer and Hahn type operator \(L_{n}^{a}\) where \(a\) is a real and…
Approximation properties of a class of operators of Stancu-Kantorovich type
Abstract In this paper we consider an extension, in the sense of Kantorovich, of a linear positive operator of Bernstein…