Approximation by α-Chlodowsky–Durrmeyer Operators

Aslan R.

Mathematical Methods in the Applied Sciences, 2026 (SCI-Expanded, Scopus) identifier

  • Yayın Türü: Makale / Tam Makale
  • Basım Tarihi: 2026
  • Doi Numarası: 10.1002/mma.70460
  • Dergi Adı: Mathematical Methods in the Applied Sciences
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus, Compendex, INSPEC, MathSciNet, zbMATH
  • Anahtar Kelimeler: Chlodowsky–Durrmeyer operators, pointwise estimates, shape parameter α, Voronovskaya's type theorem, weighted approximation
  • Van Yüzüncü Yıl Üniversitesi Adresli: Evet

Özet

The main objective of this article is to construct a new sequence of (Formula presented.) -Chlodowsky–Durrmeyer type operators including shape parameter (Formula presented.), where (Formula presented.). We compute some needed moment estimates. Also, we study some direct and local approximation properties of the proposed operators. Next, we obtain the order of convergence in terms of the weighted modulus of continuity. Then, in order to check the asymptotic behavior of related operators, we prove Voronovskaya's type theorem. Further, we evaluate pointwise convergence of the proposed operators. To validate our theoretical results, we perform some graphical and numerical experiments that illustrate the precision, effectiveness, and advantages of the proposed approach in practical applications of the related operators.