Approximation properties of multivariate exponential sampling series

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Kurşun S., Turgay M., ALAGÖZ O., Acar T.

Carpathian Mathematical Publications, cilt.13, sa.3, ss.666-675, 2021 (ESCI) identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 13 Sayı: 3
  • Basım Tarihi: 2021
  • Doi Numarası: 10.15330/cmp.13.3.666-675
  • Dergi Adı: Carpathian Mathematical Publications
  • Derginin Tarandığı İndeksler: Emerging Sources Citation Index (ESCI), Scopus, zbMATH, Directory of Open Access Journals
  • Sayfa Sayıları: ss.666-675
  • Anahtar Kelimeler: Multivariate exponential sampling series, Multivariate Mellin-Taylor formula, Rate of convergence, Voronovskaja type theorem
  • Bilecik Şeyh Edebali Üniversitesi Adresli: Evet

Özet

© Kurşun S., Turgay M., Alagöz O., Acar T., 2021.In this paper, we generalize the family of exponential sampling series for functions of n variables and study their pointwise and uniform convergence as well as the rate of convergence for the functions belonging to space of log-uniformly continuous functions. Furthermore, we state and prove the generalized Mellin-Taylor’s expansion of multivariate functions. Using this expansion we establish pointwise asymptotic behaviour of the series by means of Voronovskaja type theorem.