On statistical approximation in spaces of continuous functions4 years agoAbstract Our goal is to present approximation theorems for sequences of positive linear operators defined on \(C(X)\), where \(X\) is…
On the iterates of a class of summation-type linear positive operators4 years agoAbstractThis note is focused upon positive linear operators which preserve the quadratic test function. By using contraction principle, we study…
On approximating operators preserving certain polynomials4 years agoAbstract The paper centers around a general class of discrete linear positive operators depending on a real parameter \(\alpha \geq…
On certain q-analogues of the Bernstein operators4 years agoAbstract In this note we study the limit of iterates of Lupas q-analogue of the Bernstein operators. Also, we introduce…
Academician professor Dimitrie D. Stancu at his 80th birthday anniversary4 years agoAbstract AuthorsPetru Blaga Department of Mathematics Babes-Bolyai University, Cluj-Napoca, Romania Octavian Agratini Department of Mathematics Babes-Bolyai University, Cluj-Napoca, Romania Keywords?…
On a class of linear positive bivariate operators of King type4 years agoAbstract The concern of this note is to introduce a general class of linear positive operators of discrete type acting…
On the variation detracting property of a class of operators4 years agoAbstract This work is focused upon the study of a general class of linear positive operators of discrete type. We…
On approximation of functions by positive linear operators4 years agoAbstract The aim of the present paper is to point out basic results concerning the approximation of functions by using…
Linear operators that preserve some test functions4 years agoAbstract The paper centers around a pair of sequences of linear positive operators. The former has the degree of exactness…
On the convergence of a truncated class of operators4 years agoAbstract In this paper we are dealing with a general class of positive approximation processes of discrete type expressed in…