Generalization of Szasz operators: quantitative estimate and bounded variation
[ X ]
Tarih
2021
Yazarlar
Dergi Başlığı
Dergi ISSN
Cilt Başlığı
Yayıncı
Vasyl Stefanyk Precarpathian Natl Univ
Erişim Hakkı
info:eu-repo/semantics/openAccess
Özet
Difference of exponential type Szasz and Szasz-Kantorovich operators is obtained. Similar es-timates are given for higher order mu-derivatives of the Szasz operators and the Szasz-Kantorovich type operators acting on the same order mu-derivative of the function. These differences are given in quantitative form using the first modulus of continuity. Convergence in variation of the operators in the space of functions with bounded variation with respect to the variation seminorm is obtained. The results propose a general framework covering the results provided by previous literature.
Açıklama
Anahtar Kelimeler
exponential Szasz operator; exponential Szasz-Kantorovich operator; convergence in variation
Kaynak
Carpathian Mathematical Publications
WoS Q Değeri
N/A
Scopus Q Değeri
Q2
Cilt
13
Sayı
3
