Some convergence results for nonlinear Baskakov-Durrmeyer operators
Yükleniyor...
Dosyalar
Tarih
2023
Yazarlar
Dergi Başlığı
Dergi ISSN
Cilt Başlığı
Yayıncı
Carpathian Mathematical Publications
Erişim Hakkı
info:eu-repo/semantics/openAccess
Özet
This paper is an introduction to a sequence of nonlinear Baskakov-Durrmeyer operators (NBDn) of the form (NBDn) (f; x) =integral(infinity)(0) K-n(x, t, f (t)) dt with x is an element of [0, infinity) and n is an element of N. While Kn(x, t, u) provide convenient assumptions, these operators work on bounded functions, which are defined on all finite subintervals of [0, infinity). This paper comprise some pointwise convergence results for these operators in certain functional spaces. As well as this study can be seen as a continuation of studies about nonlinear operators, it is the first study on nonlinear Baskakov-Durrmeyer or modified Baskakov operators, while there were more papers on linear part of the operators.
Açıklama
Anahtar Kelimeler
Bounded Variation, Nonlinear Operator, (L - Psi) Lipschitz Condition, Pointwise Convergence
Kaynak
Vasyl Stefanyk Precarpathian National University
WoS Q Değeri
Q1
Scopus Q Değeri
Q2
Cilt
15
Sayı
1
Künye
Altin, H. E. (2023). Some convergence results for nonlinear Baskakov-Durrmeyer operators. Carpathian Mathematical Publications, 15(1), 95-103.
