[图书][B] Approximation with positive linear operators and linear combinations

V Gupta, G Tachev - 2017 - Springer
Approximation of functions by positive linear operators is an important branch of the
approximation theory. To increase the order of approximation a useful tool is the method of …

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 …

Approximation of functions by a class of Durrmeyer–Stancu type operators which includes Euler's beta function

A Alotaibi, F Özger, SA Mohiuddine… - Advances in Difference …, 2021 - Springer
In this work, we construct the genuine Durrmeyer–Stancu type operators depending on
parameter α in 0, 1 0,1 as well as ρ> 0 ρ>0 and study some useful basic properties of the …

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 …

Approximation by modified operators

AM Acu, T Acar, VA Radu - Revista de la Real Academia de Ciencias …, 2019 - Springer
The purpose of present paper is to extend the study of λ λ-Bernstein operators introduce by
Cai et al.(J Inequal Appl 12: 1–11, 2018). In our paper we consider a generalization of the …

Better approximation of functions by genuine Bernstein-Durrmeyer type operators

AM Acu, PN Agrawal - arXiv preprint arXiv:1810.06822, 2018 - arxiv.org
The main object of this paper is to construct a new genuine Bernstein-Durrmeyer type
operators which have better features than the classical one. Some direct estimates for 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 …

A survey on estimates for the differences of positive linear operators

AM Acu, S Hodış, I Raşa - Constructive Mathematical Analysis, 2018 - dergipark.org.tr
A Survey on Estimates for the Differences of Positive Linear Operators Page 1
CONSTRUCTIVE MATHEMATICAL ANALYSIS 1 (2018), No. 2, pp. 113-127 http://dergipark.gov.tr/cma …

Difference of some positive linear approximation operators for higher-order derivatives

V Gupta, AM Acu, HM Srivastava - Symmetry, 2020 - mdpi.com
In the present paper, we deal with some general estimates for the difference of operators
which are associated with different fundamental functions. In order to exemplify the …

A nice representation for a link between Baskakov-and Szász–Mirakjan–Durrmeyer operators and their Kantorovich variants

M Heilmann, I Raşa - Results in Mathematics, 2019 - Springer
In this paper we consider a link between Baskakov–Durrmeyer type operators and
corresponding Kantorovich type modifications of their classical variants. We prove a useful …