Nonlinear multivariate sampling Kantorovich operators: quantitative estimates in functional spaces

Çetin N., Costarelli D., Natale M., Vinti G.

Dolomites Research Notes on Approximation, cilt.15, sa.3, ss.12-25, 2022 (ESCI) identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 15 Sayı: 3
  • Basım Tarihi: 2022
  • Doi Numarası: 10.14658/pupj-drna-2022-3-3
  • Dergi Adı: Dolomites Research Notes on Approximation
  • Derginin Tarandığı İndeksler: Emerging Sources Citation Index (ESCI), Scopus, zbMATH, Directory of Open Access Journals
  • Sayfa Sayıları: ss.12-25
  • Ankara Hacı Bayram Veli Üniversitesi Adresli: Evet

Özet

© 2022, Padova University Press. All rights reserved.In real world applications, signals can be suitably reconstructed by nonlinear procedures; this justifies the study of nonlinear approximation operators. In this paper, we prove some quantitative estimates for the nonlinear sampling Kantorovich operators in the multivariate setting using the modulus of smoothness of Lp (n ). The above results have been then extended to the general case of Orlicz spaces Lϕ (n ), so obtaining quantitative estimates in several instances of well-known and useful spaces.