<p>The convergence in variation for the exponential sampling operators and Kantorovich exponential sampling operators based on averaged-type kernel has been analyzed. A characterization of the space of absolutely continuous functions in terms of the convergence in variation by means of these exponential sampling operators is studied.</p>

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A Characterization of the Convergence in Variation for the Exponential Sampling Operators

  • A. Sathish Kumar,
  • S. Yugesh

摘要

The convergence in variation for the exponential sampling operators and Kantorovich exponential sampling operators based on averaged-type kernel has been analyzed. A characterization of the space of absolutely continuous functions in terms of the convergence in variation by means of these exponential sampling operators is studied.