Durrmeyer type Lototsky-Chlodowsky operators

Kutlu Serin Ş., Karsli H., TAŞDELEN YEŞİLDAL F.

Filomat, cilt.39, sa.13, ss.4585-4600, 2025 (SCI-Expanded, Scopus) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 39 Sayı: 13
  • Basım Tarihi: 2025
  • Doi Numarası: 10.2298/fil2513585s
  • Dergi Adı: Filomat
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Sayfa Sayıları: ss.4585-4600
  • Anahtar Kelimeler: Durrmeyer type operators, Lototsky-Chlodowsky operators, modulus of continuity
  • Ankara Üniversitesi Adresli: Evet

Özet

In this paper, we present a introduction to Durrmeyer type Lototsky-Chlodowsky operators. We explore their approximation properties within a weighted function space. Subsequently, we derive the rates of convergence utilizing the second modulus of continuity. Moreover, we investigate the convergence rates in the L1 space. In addition, we establish Voronovskaja-type theorem for the considered Durrmeyer type Lototsky-Chlodowsky operators, thereby contributing significant insights into their asymptotic behaviour.