Approximation by sampling Kantorovich series in weighted spaces of functions

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Acar T., ALAGÖZ O., Aral A., Costarelli D., Turgay M., Vinti G.

Turkish Journal of Mathematics, cilt.46, sa.7, ss.2663-2676, 2022 (SCI-Expanded) identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 46 Sayı: 7
  • Basım Tarihi: 2022
  • Doi Numarası: 10.55730/1300-0098.3293
  • Dergi Adı: Turkish Journal of Mathematics
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus, Academic Search Premier, MathSciNet, zbMATH, TR DİZİN (ULAKBİM)
  • Sayfa Sayıları: ss.2663-2676
  • Anahtar Kelimeler: Asymptotic formulas, Generalized sampling series, Pointwise and uniform convergence, Sampling kantorovich operators, Weighted approximation
  • Bilecik Şeyh Edebali Üniversitesi Adresli: Evet

Özet

© This work is licensed under a Creative Commons Attribution 4.0 International LicenseThis paper studies the convergence of the so-called sampling Kantorovich operators for functions belonging to weighted spaces of continuous functions. This setting allows us to establish uniform convergence results for functions that are not necessarily uniformly continuous and bounded on R. In that context we also prove quantitative estimates for the rate of convergence of the family of the above operators in terms of weighted modulus of continuity. Finally, pointwise convergence results in quantitative form by means of Voronovskaja type theorems have been also established