Higher order Kantorovich-type Szász–Mirakjan operators

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Sabancigil P., Kara M., Mahmudov N.

Journal of Inequalities and Applications, vol.2022, no.1, 2022 (SCI-Expanded, Scopus) identifier

  • Nəşrin Növü: Article / Article
  • Cild: 2022 Say: 1
  • Nəşr tarixi: 2022
  • Doi nömrəsi: 10.1186/s13660-022-02827-8
  • jurnalın adı: Journal of Inequalities and Applications
  • Jurnalın baxıldığı indekslər: Science Citation Index Expanded (SCI-EXPANDED), Scopus, Academic Search Premier, Aerospace Database, Communication Abstracts, MathSciNet, Metadex, zbMATH, Directory of Open Access Journals, Civil Engineering Abstracts
  • Açar sözlər: Higher order approximation, Kantorovich operators, Modulus of continuity, Szász–Mirakjan operators, Voronovskaja-type theorem
  • Açıq Arxiv Kolleksiyası: Məqalə
  • Adres: Yox

Qısa məlumat

In this paper, we define new higher order Kantorovich-type Szász–Mirakjan operators, we give some approximation properties of these operators in terms of various moduli of continuity. We prove a local approximation theorem, a Korovkin-type theorem, and a Voronovskaja-type theorem. We also prove weighted approximation theorems for these new operators.