On the iterates of a class of summation-type linear positive operators
AbstractThis note is focused upon positive linear operators which preserve the quadratic test function. By using contraction principle, we study…
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On approximating operators preserving certain polynomials
Abstract 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 operators
Abstract 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 anniversary
Abstract 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 type
Abstract 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 operators
Abstract 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 operators
Abstract 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 functions
Abstract 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 operators
Abstract 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 generalizations
Abstract The present paper focuses on two approaches. Firstly, by using the contraction principle, we give a method for obtaining…