Local approximation properties for certain King type operators

MA Özarslan, H Aktuğlu - Filomat, 2013 - JSTOR
In this paper, we consider a certain King type operators which includes general families of
Szász-Mirakjan, Baskakov, Post-Widder and Stancu operators. By introducing two …

[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 …

On sequences of JP King‐type operators

T Acar, M Cappelletti Montano… - Journal of Function …, 2019 - Wiley Online Library
This survey is devoted to a series of investigations developed in the last fifteen years,
starting from the introduction of a sequence of positive linear operators which modify the …

[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 …

[PDF][PDF] Modified bernstein-durrmeyer operators

T Acar, A Aral, I Rasa - Gen. Math, 2014 - generalmathematics.ro
In this work, we introduce a new type of Bernstein-Durrmeyer operators based on a function
τ (x) which is continuously differentiable∞− times on [0, 1], such that τ (0)= 0, τ (1)= 1 and …

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 …

Bezier variant of the Bernstein–Durrmeyer type operators

T Acar, PN Agrawal, T Neer - Results in Mathematics, 2017 - Springer
In the present paper, we introduce the Bezier-variant of Durrmeyer modification of the
Bernstein operators based on a function τ τ, which is infinite times continuously differentiable …

Voronovskaya type theorems in weighted spaces

A Erençin, I Raşa - Numerical Functional Analysis and Optimization, 2016 - Taylor & Francis
Full article: Voronovskaya Type Theorems in Weighted Spaces Skip to Main Content Taylor
and Francis Online homepage Taylor and Francis Online homepage Log in | Register Cart 1.Home …

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 …