Approximation of fractional derivatives by Brass-Stancu operators

BAŞCANBAZ TUNCA G., Erençin A., Feza Güvenilir A., Pǎltǎnea R.

Analele Stiintifice ale Universitatii Ovidius Constanta, Seria Matematica, cilt.33, sa.2, ss.5-26, 2025 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 33 Sayı: 2
  • Basım Tarihi: 2025
  • Doi Numarası: 10.2478/auom-2025-0016
  • Dergi Adı: Analele Stiintifice ale Universitatii Ovidius Constanta, Seria Matematica
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus, Academic Search Premier, zbMATH, Directory of Open Access Journals
  • Sayfa Sayıları: ss.5-26
  • Anahtar Kelimeler: Brass-Stancu operators, fractional derivative, modulus of continuity, simultaneous approximation
  • Ankara Üniversitesi Adresli: Evet

Özet

In this paper, we study uniform approximation of fractional derivatives in Caputo sense by Brass-Stancu operators. For the rate of approximation, we give some estimates in terms of the modulus of continuity.