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On A Symbolic Method for Error Estimation of a Mixed Interpolation

  • Thota, Srinivasarao (Department of Mathematics, Motilal Nehru National Institute of Technology)
  • Received : 2017.03.31
  • Accepted : 2018.06.27
  • Published : 2018.09.23

Abstract

In this paper, we present a symbolic formulation of the error obtained due to an approximation of a given function by the mixed-interpolating function. Using the proposed symbolic method, we compute the error evaluation operator as well as the error estimation at any arbitrary point. We also present an algorithm to compute an approximation of a function by the mixed interpolation technique in terms of projector operator. Certain examples are presented to illustrate the proposed algorithm. Maple implementation of the proposed algorithm is discussed with sample computations.

Keywords

mixed interpolation;error estimation;projector;Stieltjes functionals;symbolic method

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