Improved approximation on Durrmeyer-type operators

Gupta, Vijay; SOYBAŞ, DANYAL; Tachev, Gancho

doi:10.1007/s40590-018-0196-8

Improved approximation on Durrmeyer-type operators

Gupta V., SOYBAŞ D., Tachev G.

BOLETIN DE LA SOCIEDAD MATEMATICA MEXICANA, cilt.25, sa.2, ss.363-373, 2019 (ESCI, Scopus)

Yayın Türü: Makale / Tam Makale
Cilt numarası: 25 Sayı: 2
Basım Tarihi: 2019
Doi Numarası: 10.1007/s40590-018-0196-8
Dergi Adı: BOLETIN DE LA SOCIEDAD MATEMATICA MEXICANA
Derginin Tarandığı İndeksler: Emerging Sources Citation Index (ESCI), Scopus
Sayfa Sayıları: ss.363-373
Anahtar Kelimeler: Baskakov-Durrmeyer operators, Linear combinations, Divided differences, Pochhammer symbol, Lagrange interpolation
Erciyes Üniversitesi Adresli: Evet

Özet

In the present paper, we consider the Durrmeyer-type operators, some of which reproduce the linear functions, while some the constant functions only. We observe that the order of approximation for these operators is O(n-1); here, we consider the linear combinations of such operators and study some approximation properties for these operators. Our results essentially improve the order of approximation.