Bezier-Bernstein-Durrmeyer type operators

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Küçük Resim

Tarih

2019

Dergi Başlığı

Dergi ISSN

Cilt Başlığı

Yayıncı

SPRINGER-VERLAG ITALIA SRL

Erişim Hakkı

info:eu-repo/semantics/openAccess

Özet

In this note, we construct the Bezier variant of the Bernstein-Durrmeyer type operators. We present local results, a direct approximation theorem by using the Ditzian-Totik modulus of smoothness and a quantitative Voronovskaja type theorem with the help of the Ditzian-Totik modulus of continuity. The rate of convergence for differential functions whose derivatives are of bounded variation is also established. Finally, we show that the numerical examples which illustrate the authenticity of the theoretical results and the effectiveness of the defined operators.

Açıklama

Anahtar Kelimeler

Positive approximation process, Bezier operators, Degree of approximation

Kaynak

REVISTA DE LA REAL ACADEMIA DE CIENCIAS EXACTAS FISICAS Y NATURALES SERIE A-MATEMATICAS

WoS Q Değeri

Q1

Scopus Q Değeri

Q1

Cilt

114

Sayı

1

Künye

Kajla, A., Acar, T. (2019). Bezier-Bernstein-Durrmeyer Type Operators. Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A. Matemáticas, 114(1), 31.