On the iterates of a class of summation-type linear positive operators1 year 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 polynomials1 year 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 operators1 year 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 anniversary1 year 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 type1 year 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 operators1 year 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 operators1 year 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 functions1 year 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 operators1 year agoAbstract In this paper we are dealing with a general class of positive approximation processes of discrete type expressed in…
On some Bernstein type operators: iterates and generalizations1 year agoAbstract The present paper focuses on two approaches. Firstly, by using the contraction principle, we give a method for obtaining…