ON BETTER APPROXIMATION ORDER FOR THE NONLINEAR FAVARD-SZÁSZ-MIRAKJAN OPERATOR OF MAXIMUM PRODUCT KIND

ÇİT S., DOĞRU O.

Matematicki Vesnik, cilt.77, sa.1, ss.38-48, 2025 (ESCI) identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 77 Sayı: 1
  • Basım Tarihi: 2025
  • Doi Numarası: 10.57016/mv-nkmx9624
  • Dergi Adı: Matematicki Vesnik
  • Derginin Tarandığı İndeksler: Emerging Sources Citation Index (ESCI), Scopus, Academic Search Premier, zbMATH, Directory of Open Access Journals
  • Sayfa Sayıları: ss.38-48
  • Anahtar Kelimeler: modulus of continuity, Nonlinear Favard-Szász-Mirakjan operator, weighted modulus of continuity
  • Gazi Üniversitesi Adresli: Evet

Özet

Using maximum instead of sum, nonlinear Favard-Szász-Mirakjan operator of maximum product kind was introduced. The present paper deals with the approximation processes for this operator. Especially in a previous study, it was indicated that the order of approximation of this operator to the function f under the modulus is√x/n and it could not be improved except for some subclasses of functions. Contrary to this claim, under some special conditions, we will show that a better order of approximation can be obtained with the help of classical and weighted modulus of continuities.