Approximation properties of multivariate exponential sampling series

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

Carpathian Mathematical Publications, vol.13, no.3, pp.666-675, 2021 (ESCI, Scopus)

  • Publication Type: Article / Article
  • Volume: 13 Issue: 3
  • Publication Date: 2021
  • Doi Number: 10.15330/cmp.13.3.666-675
  • Journal Name: Carpathian Mathematical Publications
  • Journal Indexes: Emerging Sources Citation Index (ESCI), Scopus, zbMATH, Directory of Open Access Journals
  • Page Numbers: pp.666-675
  • Keywords: Multivariate exponential sampling series, Multivariate Mellin-Taylor formula, Rate of convergence, Voronovskaja type theorem
  • Open Archive Collection: AVESIS Open Access Collection
  • Bilecik Şeyh Edebali University Affiliated: Yes

Abstract

© 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.