A new modification of Durrmeyer type mixed hybrid operators
Küçük Resim Yok
Tarih
2018
Yazarlar
Dergi Başlığı
Dergi ISSN
Cilt Başlığı
Yayıncı
NORTH UNIV BAIA MARE
Erişim Hakkı
info:eu-repo/semantics/closedAccess
Özet
In 2008 V. Mihesan constructed a general class of linear positive operators generalizing the Szasz operators. In this article, a Durrmeyer variant of these operators is introduced which is a method to approximate the Lebesgue integrable functions. First, we derive some indispensable auxiliary results in the second section. We present a quantitative Voronovskaja type theorem, local approximation theorem by means of second order modulus of continuity and weighted approximation for these operators. The rate of convergence for differential functions whose derivatives are of bounded variation is also obtained.
Açıklama
Anahtar Kelimeler
Positive approximation process, rate of convergence, modulus of continuity, Steklov mean
Kaynak
CARPATHIAN JOURNAL OF MATHEMATICS
WoS Q Değeri
Q4
Scopus Q Değeri
Q2
Cilt
34
Sayı
1