[图书][B] Bernstein operators and their properties

J Bustamante - 2017 - Springer
In 1885, Weierstrass published his famous theorem asserting that every continuous function
in a compact interval of the real line is the uniform limit of a sequence of algebraic …

Asymptotic formulas for generalized Szász–Mirakyan operators

T Acar - Applied Mathematics and Computation, 2015 - Elsevier
In the present paper, we consider the general Szász–Mirakyan operators and investigate
their asymptotic behaviours. We obtain quantitative Voronovskaya and quantitative Grüss …

Modified -Bernstein operators with better approximation properties

A Kajla, T Acar - 2019 - projecteuclid.org
In the present note, following a new approach recently described by Khosravian-Arab,
Dehghan, and Eslahchi, we construct a new kind of α-Bernstein operator and study a …

Modified Kantorovich operators with better approximation properties

V Gupta, G Tachev, AM Acu - Numerical Algorithms, 2019 - Springer
In the present paper, we study a new kind of Bernstein-Kantorovich-type operators. Here, we
discuss a uniform convergence estimate for this modified form. Also, some direct estimates …

A new approach to improve the order of approximation of the Bernstein operators: Theory and applications

H Khosravian-Arab, M Dehghan, MR Eslahchi - Numerical Algorithms, 2018 - Springer
This paper presents a new approach to improve the order of approximation of the Bernstein
operators. Three new operators of the Bernstein-type with the degree of approximations one …

q‐Voronovskaya type theorems for q‐Baskakov operators

G Ulusoy, T Acar - Mathematical Methods in the Applied …, 2016 - Wiley Online Library
In the present paper, we prove quantitative q‐Voronovskaya type theorems for q‐Baskakov
operators in terms of weighted modulus of continuity. We also present a new form of …

On the -Derivatives of a Certain Linear Positive Operators

AR Gairola, Deepmala, LN Mishra - Iranian Journal of Science and …, 2018 - Springer
On the $$q$$ -Derivatives of a Certain Linear Positive Operators | SpringerLink Skip to main
content Advertisement SpringerLink Log in Menu Find a journal Publish with us Search Cart …

Kantorovich Operators of Order k

H Gonska, M Heilmann, I Raşa - Numerical functional analysis and …, 2011 - Taylor & Francis
This article is concerned with the k-th order Kantorovich modification of the classical
Bernstein operators B n, namely,, where D kf is the derivative of order k and I kf is an …

Approximation by modified Bernstein polynomials based on real parameters

RS Rajawat, KK Singh, VN Mishra - Mathematical Foundations of …, 2024 - aimsciences.org
In this paper, we introduce a modified Bernstein-type operators based on two real
parameters and study its various approximation properties. We derive some direct results eg …

[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 …