Brass-Stancu-Kantorovich operators on a Hypercube∗

BAŞCANBAZ TUNCA G., Gonska H.

Dolomites Research Notes on Approximation, cilt.17, sa.2, ss.14-21, 2024 (ESCI) identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 17 Sayı: 2
  • Basım Tarihi: 2024
  • Doi Numarası: 10.14658/pupj-drna-2024-2-2
  • Dergi Adı: Dolomites Research Notes on Approximation
  • Derginin Tarandığı İndeksler: Emerging Sources Citation Index (ESCI), Scopus, zbMATH, Directory of Open Access Journals
  • Sayfa Sayıları: ss.14-21
  • Anahtar Kelimeler: multivariate averaged modulus of smoothness, multivariate K-functional, multivariate Kantorovich operator
  • Ankara Üniversitesi Adresli: Evet

Özet

We deal with multivariate Brass-Stancu-Kantorovich operators depending on a non-negative integer parameter and defined on the space of all Lebesgue integrable functions on a unit hypercube. We prove Lp-approximation and provide estimates for the Lp-norm of the error of approximation in terms of a multivariate averaged modulus of continuity and of the corresponding Lp-modulus.