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.…
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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…
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…
Asymptotic properties of Kantorovich-type Szász–Mirakjan operators of higher order
Abstract In this paper we study local approximation properties of a higher order Kantorovich-type Szász–Mirakjan operator recently introduced by Sabancigil,…
Simultaneous approximation by Gauss–Weierstrass–Wachnicki operators
Abstract In this note, we spotlight a generalization of Weierstrass integral operators introduced by Eugeniusz Wachnicki. The construction involves modified…
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…