Singular approximation in polydiscs by summability process |
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Authors: | Oktay Duman |
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Institution: | 1.Department of Mathematics,TOBB Economics and Technology University,Ankara,Turkey;2.Department of Mathematics,University of Central Florida,Orlando,USA |
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Abstract: | In this paper, we approximate a continuous function in a polydisc by means of multivariate complex singular operators which preserve the analytic functions. In this singular approximation, we mainly use a regular summability method (process) from the summability theory. We show that our results are non-trivial generalizations of the classical approximations. At the end, we display an application verifying the singular approximation via summation process, but not the usual sense. |
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