A functional generalization of the interpolation problem

Dişibüyük Ç.

Applied Mathematics and Computation, cilt.256, ss.247-251, 2015 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 256
  • Basım Tarihi: 2015
  • Doi Numarası: 10.1016/j.amc.2014.12.152
  • Dergi Adı: Applied Mathematics and Computation
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Sayfa Sayıları: ss.247-251
  • Anahtar Kelimeler: Interpolation, Generalized Lagrange interpolation, Generalized Hermite interpolation
  • Dokuz Eylül Üniversitesi Adresli: Evet

Özet

© 2015 Elsevier Inc.Given two linearly independent functions supf1/sup and supf2/sup, we generalize the interpolating problem to the space supπn/sup(supf1/sup,supf2/sup) 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.