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) identifier identifier identifier

  • 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.