Multidimensional Kantorovich modifications of exponential sampling series

  • Tuncer Acar
  • Sadettin Kursun
  • Metin Turgay
Keywords: Exponential sampling series, Kantorovich operators, rate of convergence, Voronovskaja type theorem.


This paper is devoted to construction of multidimensional Kantorovich modifications of exponential sampling series, which allows to approximate suitable measurable functions by considering their mean values on just one section of the function involved. Approximation behaviour of newly constructed operators is in-vestigated at continuity points for log-uniformly continuous functions. The rate of convergence of the series is presented for the same functions by means of logarithmic modulus of continuity. A Voronovskaja type theorem is also presented by means of Mellin derivatives.


Journal Identifiers

eISSN: 1727-933X
print ISSN: 1607-3606