ON A SEQUENCE OF KANTOROVICH TYPE OPERATORS VIA RIEMANN TYPE q-INTEGRAL

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BAŞCANBAZ TUNCA G., ERENÇİN A., TAŞDELEN YEŞİLDAL F.

BULLETIN OF THE KOREAN MATHEMATICAL SOCIETY, cilt.51, sa.2, ss.303-315, 2014 (SCI-Expanded, Scopus)

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 51 Sayı: 2
  • Basım Tarihi: 2014
  • Doi Numarası: 10.4134/bkms.2014.51.2.303
  • Dergi Adı: BULLETIN OF THE KOREAN MATHEMATICAL SOCIETY
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Sayfa Sayıları: ss.303-315
  • Anahtar Kelimeler: Kantorovich type operator, Riemann type q-integral, weighted spaces, modulus of continuity, Lipschitz class, MEYER-KONIG, APPROXIMATION PROPERTIES, POSITIVE OPERATORS, CONVERGENCE
  • Açık Arşiv Koleksiyonu: AVESİS Açık Erişim Koleksiyonu
  • Ankara Üniversitesi Adresli: Evet

Özet

In this work, we construct Kantorovich type generalization of a class of linear positive operators via Riemann type q-integral. We obtain estimations for the rate of convergence by means of modulus of continuity and the elements of Lipschitz class and also investigate weighted approximation properties.