Andra Seserman
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View article: Composition and Decomposition of Positive Linear Operators (VIII)
Composition and Decomposition of Positive Linear Operators (VIII) Open
In a series of papers, most of them authored or co-authored by H. Gonska, several authors investigated problems concerning the composition and decomposition of positive linear operators defined on spaces of functions. For example, given tw…
View article: On Rathore type operators
On Rathore type operators Open
V. Gupta introduced recently the Rathore type operators R n,c . For them we obtain Voronovskaja type results. We extend the classical Szász-Mirakjan operator and compare the extension with R n,c .
View article: Positive linear operators and exponential functions
Positive linear operators and exponential functions Open
Using the family of generalized Baskakov operators we propose a general method to construct positive linear operators preserving exponential functions. A conjecture concerning Voronovskaja type formula and some applications are presented.
View article: Poisson approximation to the binomial distribution: extensions to the convergence of positive operators
Poisson approximation to the binomial distribution: extensions to the convergence of positive operators Open
The idea behind Poisson approximation to the binomial distribution was used in [J. de la Cal, F. Luquin, J. Approx. Theory, 68(3), 1992, 322-329] and subsequent papers in order to establish the convergence of suitable sequences of positive…