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…
not-at-ICTP
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…
An inequality wich arises in the absence of the mountain pass geometry
Abstract An integral inequality is deduced from the negation of the geometrical condition in the bounded mountain pass theorem of…