A New Kantorovich-Type Rational Operator and Inequalities for Its Approximation

Yildiz Ozkan E.

MATHEMATICS, cilt.10, sa.12, 2022 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 10 Sayı: 12
  • Basım Tarihi: 2022
  • Doi Numarası: 10.3390/math10121982
  • Dergi Adı: MATHEMATICS
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus, Aerospace Database, Communication Abstracts, Metadex, zbMATH, Directory of Open Access Journals, Civil Engineering Abstracts
  • Anahtar Kelimeler: approximation of positive operators, rate of convergence, Kantorovich-type operator, rational function, BEZIER VARIANT
  • Gazi Üniversitesi Adresli: Evet

Özet

We introduce a new Kantorovich-type rational operator. We investigate inequalities estimating its rates of convergence in view of the modulus of continuity and the Lipschitz-type functions. Moreover, we present graphical comparisons exemplifying concretely its better approximation for a certain function. The results of the paper are crucial by means of possessing at least better approximation results than an existing Kantorovich-type rational function.