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…
Approximation Theory
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…
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…
Asupra unei clase de polinoame ortogonale şi unor formule generale de cuadratură cu număr minim de termeni
Abstract AuthorsDimitrie D. Stancu ”Babes-Bolyai” University, Cluj-Napoca, Romania Institutul de Calcul (Tiberiu Popoviciu Institute of Numerical Analysis), Romanian Academy Keywords?…
Generalizarea unor polinoame de interpolare pentru funcţiile de mai multe variabile
Abstract AuthorsDimitrie D. Stancu ”Babes-Bolyai” University, Cluj-Napoca, Romania Keywords? Paper coordinatesD.D. Stancu, Generalizarea unor polinoame de interpolare pentru funcţiile de mai…