• DocumentCode
    719238
  • Title

    On approximation properties of generalized Kantorovich-type sampling operators

  • Author

    Orlova, Olga ; Tamberg, Gert

  • Author_Institution
    Dept. of Math., Tallinn Univ. of Technol., Tallinn, Estonia
  • fYear
    2015
  • fDate
    25-29 May 2015
  • Firstpage
    53
  • Lastpage
    57
  • Abstract
    In this paper, we generalize the notion of Kantorovich-type sampling operators using the Fejér-type singular integral. By means of these operators we are able to reconstruct signals (functions) which are not necessarily continuous. Moreover, our generalization allows us to take the measurement error into account. The goal of this paper is to estimate the rate of approximation by the above operators via high-order modulus of smoothness.
  • Keywords
    measurement errors; signal reconstruction; signal sampling; Fejer-type singular integral; generalized Kantorovich-type sampling operator approximation properties; measurement error; signal reconstruction; smoothness high-order modulus; Approximation methods; Convolution; Electronic mail; Fourier transforms; Image processing; Kernel;
  • fLanguage
    English
  • Publisher
    ieee
  • Conference_Titel
    Sampling Theory and Applications (SampTA), 2015 International Conference on
  • Conference_Location
    Washington, DC
  • Type

    conf

  • DOI
    10.1109/SAMPTA.2015.7148849
  • Filename
    7148849
    • Link To Document
    https://search.isc.ac/dl/search/defaultta.aspx?DTC=49&DC=719238