Pointwise approximation by Bernstein type operators in mobile interval

HS Jung, N Deo, M Dhamija - Applied Mathematics and Computation, 2014 - Elsevier
In the present paper, we study pointwise approximation by Bernstein–Durrmeyer type
operators in the mobile interval x∈ 0, 1-1 n+ 1, with use of Peetre's K-functional and ω φ λ 2 …

[HTML][HTML] Geometric series of positive linear operators and the inverse Voronovskaya theorem on a compact interval

U Abel, M Ivan, R Păltănea - Journal of Approximation Theory, 2014 - Elsevier
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 …

Generalized Voronovskaya theorem and the convergence of power series of positive linear operators

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 …

Power series of positive linear operators

T Acar, A Aral, I Raşa - Mediterranean Journal of Mathematics, 2019 - Springer
Power Series of Positive Linear Operators Page 1 Mediterr. J. Math. (2019) 16:43 https://doi.org/10.1007/s00009-019-1313-2
1660-5446/19/020001-11 published online March 1, 2019 c© Springer Nature Switzerland …

A Voronovskaya type theorem associated to geometric series of Bernstein-Durrmeyer 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 …

[PDF][PDF] On geometric series of positive linear operators

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 …

[PDF][PDF] On Bernstein-Euler-Jacobi Operators

ED Stanila - 2014 - duepublico2.uni-due.de
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 …

[PDF][PDF] The representation of the limit of power series of positive linear operators by using the semigroup of operators generated by their iterate

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 …

Power series of Beta operators

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 …

Power series of the operators

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 …