We define the associated geometric series for a large class of positive linear operators and study the convergence of the series in the case of sequences of admissible operators. We …
Ş Garoiu, R Păltănea - Journal of Mathematical Analysis and Applications, 2024 - Elsevier
A first objective of our paper is to obtain a generalized version of Voronovskaya's theorem in the form of the limit of ns (L n− I) sf, s∈ N, when L n are certain positive linear operators …
SL GAROIU - Carpathian Journal of Mathematics, 2025 - search.ebscohost.com
A Voronovskaya type theorem associated to geometric series of Bernstein - Durrmeyer operators Page 1 CARPATHIAN J. MATH. Volume 41 (2025), No. 2, Pages 351-360 Online version at …
R Paltanea - Constructive Mathematical Analysis, 2019 - dergipark.org.tr
On the Geometric Series of Linear Positive Operators Page 1 CONSTRUCTIVE MATHEMATICAL ANALYSIS 2 (2019), No. 2, pp. 49-56 http://dergipark.gov.tr/cma ISSN …
The present thesis is very much influenced by my late teacher Alexandru Lupas (Arad, România, 5 January 1942-Sibiu, România, 14 August 2007) and to subsequent work done …
S Garoiu, R Paltanea - Dolomites Research Notes on …, 2023 - drna.padovauniversitypress.it
The representation of the limit of power series of positive linear operators by using the semigroup of operators generated by Page 1 Special Issue FAATNA20>22: Functional …
T Acar, A Aral, I Rasa - Applied Mathematics and Computation, 2014 - Elsevier
In this paper we investigate the power series of Beta operators. We first study the convergence of this series and describe the Voronovskaya operator A and the inverse …
H Gonska, I Raşa, ED Stănilă - Positivity, 2015 - Springer
We study power series of members of a class of positive linear operators reproducing linear function constituting a link between genuine Bernstein-Durrmeyer and classical Bernstein …