[HTML][HTML] Approximation of functions by a new family of generalized Bernstein operators

X Chen, J Tan, Z Liu, J Xie - Journal of Mathematical Analysis and …, 2017 - Elsevier
The main object of this paper is to construct a new generalization of the Bernstein operator,
depending on a non-negative real parameter. We investigate some elementary properties of …

Approximation properties of λ-Kantorovich operators

AM Acu, N Manav, DF Sofonea - Journal of inequalities and applications, 2018 - Springer
In the present paper, we study a new type of Bernstein operators depending on the
parameter λ∈− 1, 1 λ∈-1,1. The Kantorovich modification of these sequences of linear …

[PDF][PDF] Dunkl analogue of Sz ́a sz-Schurer-Beta operators and their approximation behaviour.

M Raiz, A Kumar, VN Mishra, N Rao - Math. Found. Comput., 2022 - researchgate.net
The goal of the present manuscript is to introduce a new sequence of linear positive
operators, ie, Szász-Schurer-Beta type operators to approximate a class of Lebesgue …

[HTML][HTML] Direct and inverse results for Kantorovich type exponential sampling series

SK Angamuthu, S Bajpeyi - Results in Mathematics, 2020 - Springer
In this article, we analyse the behaviour of the new family of Kantorovich type exponential
sampling series. We derive the point-wise approximation theorem and Voronovskaya type …

[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 …

Approximation on parametric extension of Baskakov–Durrmeyer operators on weighted spaces

M Nasiruzzaman, N Rao, S Wazir, R Kumar - Journal of Inequalities and …, 2019 - Springer
In the present manuscript, we define a non-negative parametric variant of Baskakov–
Durrmeyer operators to study the convergence of Lebesgue measurable functions and …

Different variants of bernstein kantorovich operators and their applications in sciences and engineering field

P Bawa, N Bhardwaj, SK Bhatia - Chaos Theory and Applications, 2023 - dergipark.org.tr
In this article, we investigate various Bernstein-Kantorovich variants together with their
approximation properties. Nowadays, these variants of Bernstein-Kantorovich operators …

Some approximation properties of a Durrmeyer variant of q‐Bernstein–Schurer operators

AM Acu, CV Muraru, DF Sofonea… - … Methods in the Applied …, 2016 - Wiley Online Library
In this paper, we will propose a Durrmeyer variant of q‐Bernstein–Schurer operators. A
Bohman–Korovkin‐type approximation theorem of these operators is considered. The rate of …

[HTML][HTML] q-Bernstein-Schurer-Kantorovich type operators

PN Agrawal, M Goyal, A Kajla - Bollettino dell'Unione Matematica Italiana, 2015 - Springer
The aim of this paper is to present a Stancu type Kantorovich modification of q-Bernstein-
Schurer operators introduced by Muraru (Mathematica LVI 2: 1–11, 2011) and modified by …

Extended Bernstein-Kantorovich-Stancu operators with multiple parameters and approximation properties

U Kadak, M Özlük - Numerical Functional Analysis and …, 2021 - Taylor & Francis
In this paper, we introduce a novel extension of the Bernstein-Kantorovich-Stancu type
operator of degree n with the help of multiple shape parameters. Voronovskaja and Grüss …