New estimates for the differences of positive linear operators

AM Acu, I Raşa - Numerical Algorithms, 2016 - Springer
New estimates for the differences of positive linear operators Page 1 Numer Algor (2016) 73:775–789
DOI 10.1007/s11075-016-0117-8 ORIGINAL PAPER New estimates for the differences of …

Gr\" uss and Gr\" uss-Voronovskaya-type estimates for some Bernstein-type polynomials of real and complex variables

S Gal, H Gonska - arXiv preprint arXiv:1401.6824, 2014 - arxiv.org
The first aim of this paper is to prove a Gr\" uss-Voronovskaya estimate for Bernstein and for
a class of Bernstein-Durrmeyer polynomials on $[0, 1] $. Then, Gr\" uss and Gr\" uss …

[图书][B] Recent advances in constructive approximation theory

V Gupta, TM Rassias, PN Agrawal, AM Acu - 2018 - Springer
Recent Advances in Constructive Approximation Theory deals with various recent problems
on linear positive operators. We survey upon recent research work in this domain and also …

The second order modulus revisited: remarks, applications, problems

H Gonska, RK Kovacheva - Journal of Numerical Analysis and …, 2024 - ictp.acad.ro
Several questions concerning the second order modulus of smoothness are addressed in
this note. The central part is a refined analysis of a construction of certain smooth functions …

The limiting semigroup of the Bernstein iterates: degree of convergence

H Gonska, I Raşa - Acta Mathematica Hungarica, 2006 - Springer
THE LIMITING SEMIGROUP OF THE BERNSTEIN ITERATES: DEGREE OF CONVERGENCE
Page 1 Acta Math. Hungar., 111 (1–2) (2006), 119–130. DOI: 10.1556/AMath.111.2006.1-2.9 …

Estimates for the differences of positive linear operators

V Gupta, TM Rassias, PN Agrawal, AM Acu… - Recent Advances in …, 2018 - Springer
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On differences of positive linear operators

H Gonska, P Piƫul, I Raşa - Carpathian Journal of Mathematics, 2006 - JSTOR
We continue our research on the differences of positive linear operators by giving estimates
for such differences. Special emphasis is on the Bernstein operators, Beta operators of the …

Classical Kantorovich operators revisited

AM Acu, H Gonska - arXiv preprint arXiv:1904.11135, 2019 - arxiv.org
The main object of this paper is to improve some of the known estimates for classical
Kantorovich operators. A quantitative Voronovskaya-type result in terms of second moduli of …

A quantitative version of Trotter's approximation theorem

EM Mangino, I Rasa - Journal of approximation theory, 2007 - Elsevier
A quantitative version, based on modified K-functionals, of the classical Trotter's theorem
concerning the approximation of C0-semigroups is presented. The result is applied to the …

Convergence of iterates of genuine and ultraspherical Durrmeyer operators to the limiting semigroup: C2-estimates

H Gonska, M Heilmann, I Raşa - Journal of Approximation Theory, 2009 - Elsevier
In the present note a general inequality for the degree of approximation of semigroups by
iterates of commuting bounded linear operators on Banach spaces is given. Combining this …