[HTML][HTML] Bernstein-type operators which preserve polynomials

D Cárdenas-Morales, P Garrancho, I Raşa - Computers & Mathematics with …, 2011 - Elsevier
In this paper we present the sequence of linear Bernstein-type operators defined for f∈ C [0,
1] by B n (f∘ τ− 1)∘ τ, B n being the classical Bernstein operators and τ being any function …

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 …

De Casteljau's geometric approach to geometric design still alive

R Ait-Haddou, ML Mazure - Computer Aided Geometric Design, 2024 - Elsevier
With great enthusiasm and admiration we would like to pay tribute to Paul de Faget de
Casteljau for his essential contribution to CAGD. Motivated by the development of …

[PDF][PDF] A quantitative variant of Voronovskaja's theorem for King-type operators

Z Fınta - Constructive Mathematical Analysis, 2019 - dergipark.org.tr
A Quantitative Variant of Voronovskaja’s Theorem for King-Type Operators Page 1
CONSTRUCTIVE MATHEMATICAL ANALYSIS 2 (2019), No. 3, pp. 124-129 http://dergipark.gov.tr/cma …

Asymptotic formulae via a Korovkin-type result

D Cárdenas-Morales, P Garrancho… - Abstract and Applied …, 2012 - search.proquest.com
Asymptotic Formulae via a Korovkin-Type Result Page 1 Hindawi Publishing Corporation
Abstract and Applied Analysis Volume 2012, Article ID 217464, 12 pages doi:10.1155/2012/217464 …

Voronovskaya type results and operators fixing two functions

AM Acu, AI Măduţa, I Rasa - Mathematical Modelling and Analysis, 2021 - jest.vgtu.lt
The present paper deals with positive linear operators which fix two functions. The transfer of
a given sequence (L n) of positive linear operators to a new sequence (K n) is investigated …

New trigonometric basis possessing exponential shape parameters

Y Zhu, X Han - Journal of Computational Mathematics, 2015 - JSTOR
Four new trigonometric Bernstein-like basis functions with two exponential shape
parameters are constructed, based on which a class of trigonometric Bézier-like curves …

[HTML][HTML] Finding all systems of weight functions associated with a given extended Chebyshev space

ML Mazure - Journal of Approximation Theory, 2011 - Elsevier
Systems of weight functions and corresponding generalised derivatives are classically used
to build extended Chebyshev spaces on a given interval. This is a well-known procedure …

Remarks on a Bernstein-type operator of Aldaz, Kounchev and Render

AM Acu, H Gonska, M Heilmann - arXiv preprint arXiv:2108.07889, 2021 - arxiv.org
Remarks on a Bernstein-type operator of Aldaz, Kounchev and Render Page 1 arXiv:2108.07889v1
[math.CA] 17 Aug 2021 Remarks on a Bernstein-type operator of Aldaz, Kounchev and Render …

Aldaz–Kounchev–Render operators and their approximation properties

AM Acu, S De Marchi, I Raşa - Results in Mathematics, 2023 - Springer
The approximation properties of the Aldaz–Kounchev–Render (AKR) operators where
investigated in several papers. We improve some existing quantitative results concerning …