Approximation of functions by a new construction ofBernstein-Chlodowskyoperators: Theory and applications

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Tarih

2021

Yazarlar

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Yayıncı

Wiley

Erişim Hakkı

info:eu-repo/semantics/closedAccess

Özet

The main motivation of this paper is to provide a generalization of Bernstein-Chlodowsky type operators which depend on function tau by means of two sequences of functions. The newly defined operators fix the test function set{1, tau, tau(2)}. Then we present the approximation properties of newly defined operators, such as weighted approximation, degree of approximation and Voronovskaya type theorems. Finally, we present a series of numerical examples demonstrating the effectiveness of this newly defined Bernstein-Chlodowsky operators for computing function approximation.

Açıklama

Anahtar Kelimeler

Bernstein-Chlodowsky operator, numerical experiments, rate of convergence, Voronovskaya type theorem, weighted approximation, Bernstein-Type Operators

Kaynak

Numerical Methods For Partial Differential Equations

WoS Q Değeri

Q1

Scopus Q Değeri

Q1

Cilt

37

Sayı

1

Künye