Approximation theorem in \(L_{p}\) for a class of operators constructed by wavelets2 years agoAbstract In this paper we deal with a linear operator of Baskakov-type which has been constructed in [1] by using…
An application of divided differences2 years agoAbstract By using the divided differences as fundamental mathematical tools we investigate the monotonicity property of a sequence of linear…
On the construction of approximating linear positive operators by probabilistic methods2 years agoAbstractWe present a new probabilistic method for constructing a sequence of linear positive operators used in uniform approximation of the…
Operators generated by a quasi-scaling type function2 years agoAbstract In this paper we introduce linear approximation operators by using a scaling type function and a general bi-dimensional net.…
A generalization of Durrmeyer-type polynomials and their approximation2 years agoAbstract We propose a general class of polynomials investigating the convergence of the operators constructed on the basis of these…
Linear operators generated by a probability density function2 years agoAbstract In this paper we deal with linear positive operators of both discrete and integral type. For the former we…
Mastroianni operators revisited2 years agoAbstract The present paper focuses on a class of linear positive operators introduced by G. Mastroianni. An integral extension in…
An asymptotic formula for a class of approximation processes of King’s type2 years agoAbstract In this paper we present a general class of linear positive operators of discrete type reproducing the third test…
On a q-analogue of Stancu operators2 years agoAbstract This paper is concerned with a generalization in q-calculus of Stancu operators. Involving modulus of continuity and Lipschitz type…
Asymptotic formulae for Baskakov-Mastroianni operators based on q-integers2 years agoAbstract We establish an asymptotic formula for a general sequence of positive linear operators of discrete type. This class represents…