A functional generalization of the interpolation problem
Applied Mathematics and Computation, cilt.256, ss.247-251, 2015 (SCI-Expanded, Scopus)
- 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.