Jain's operator: A new construction and applications in approximation theory

Ansari K. J., Civelek M., Usta F.

MATHEMATICAL METHODS IN THE APPLIED SCIENCES, cilt.46, sa.13, ss.14164-14176, 2023 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 46 Sayı: 13
  • Basım Tarihi: 2023
  • Doi Numarası: 10.1002/mma.9311
  • Dergi Adı: MATHEMATICAL METHODS IN THE APPLIED SCIENCES
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus, Academic Search Premier, Aerospace Database, Applied Science & Technology Source, Communication Abstracts, Compendex, INSPEC, MathSciNet, Metadex, zbMATH, Civil Engineering Abstracts
  • Sayfa Sayıları: ss.14164-14176
  • Karadeniz Teknik Üniversitesi Adresli: Hayır

Özet

The new and more comprehensive Jain-type operators based on a function tau and two sequences of functions pn and qn have been introduced. This newly defined operator has an important place in which these three functions can create both existing and new operators with special selections. In order to show their approximation properties, we present direct approximation results and Voronovkskaya-type results for these operators. Finally, we provide a series of numerical examples to show their performance visually.