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A functional generalization of the interpolation problem

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  • Dişibüyük, Çetin

Abstract

Given two linearly independent functions f1 and f2, we generalize the interpolating problem to the space πn(f1,f2) spanned by the basis f1n-kf2kk=0n. We show that this problem has a unique solution and represent this solution by a functional analogue of the Lagrange formula. We also give a similar generalization of Hermite interpolation.

Suggested Citation

  • Dişibüyük, Çetin, 2015. "A functional generalization of the interpolation problem," Applied Mathematics and Computation, Elsevier, vol. 256(C), pages 247-251.
    • Handle: RePEc:eee:apmaco:v:256:y:2015:i:c:p:247-251
    DOI: 10.1016/j.amc.2014.12.152
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