The aim of this paper is to study the convergence and approximation properties of the bivariate o... more The aim of this paper is to study the convergence and approximation properties of the bivariate operators and GBS operators of Durrmeyer-type.
In this paper we shall demonstrate a general mean-value theorem for B-differentiable functions. B... more In this paper we shall demonstrate a general mean-value theorem for B-differentiable functions. By particularization, we obtain Pompeiu-type and Ivan-type theorems for B-differentiable functions. MSC 2000. 26B05, 26B99.
In this paper we give an approximation of B-continuous and B-differentiable functions by GBS oper... more In this paper we give an approximation of B-continuous and B-differentiable functions by GBS operators of Bernstein bivariate polynomials.
In this paper we consider the given linear positive operators (Lm)m≥1 and with their help, we con... more In this paper we consider the given linear positive operators (Lm)m≥1 and with their help, we construct linear positive operators (Km)m≥1. We study the convergence, the evaluation for the rate of convergence in terms of the first modulus of smoothness for the operators (Km)m≥1.
Abstract. In this article we want to determinate a recursive formula for Bernstein polyno-mials a... more Abstract. In this article we want to determinate a recursive formula for Bernstein polyno-mials associated to the functions ep(x) = xp, p ∈ N, and an expresion for the central moments of the Bernstein polinomyals. 2000 Mathematics Subject Classification. 41A10; 41A63. Key words and phrases. Bernstein polynomial, Stirling numbers of first and second kind, central moments. 1.
The aim of this paper is to study the convergence and approximation properties of the bivariate o... more The aim of this paper is to study the convergence and approximation properties of the bivariate operators and GBS operators of Kantorovich type.
In this article the sequence of GBS operators of Bernstein type on a tetrahedron for B-continuous... more In this article the sequence of GBS operators of Bernstein type on a tetrahedron for B-continuous functions of three variables is constructed and some approximation properties of this sequence are established.
In this paper, we will obtain a form of Bernstein-Stancu bivariate operators and finally we will ... more In this paper, we will obtain a form of Bernstein-Stancu bivariate operators and finally we will give an approximation theorem for them. 2000 Mathematics Subject Classification: 41A10, 41A25, 41A36, 41A63.
This paper presents a study of some of the structure associated with one elementary integral of s... more This paper presents a study of some of the structure associated with one elementary integral of set valued functions and shows that under suitable assumptions, it possesses fairly good properties. In particular we indicate dominated convergence and completeness results in a general setting. This approach of the integral is made in terms of submeasures and associated topological rings.
In this paper, we will obtain a form of Bernstein-Stancu bivariate operators and finally we will ... more In this paper, we will obtain a form of Bernstein-Stancu bivariate operators and finally we will give an approximation theorem for them.
In this article we want to determinate a recursive formula for Bernstein polynomials associated t... more In this article we want to determinate a recursive formula for Bernstein polynomials associated to the functions ep(x) = xp, p ∈ N, and an expresion for the central moments of the Bernstein polinomyals. 2000 Mathematics Subject Classification. 41A10; 41A63.
In this paper we consider the given linear positive operators (Lm)m 1 and with their help, we con... more In this paper we consider the given linear positive operators (Lm)m 1 and with their help, we construct linear positive operators (Km)m 1. We study the convergence, the eval- uation for the rate of convergence in terms of the first modulus of smoothness for the operators (Km)m 1.
In this article the sequence of GBS operators of Bernstein type on a tetrahedron for B-continuous... more In this article the sequence of GBS operators of Bernstein type on a tetrahedron for B-continuous functions of three variables is con- structed and some approximation properties of this sequence are established.
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Papers by Mircea Farcas