On the Taylor Differentiability in Spaces L<sub>p</sub>, 0 < p ≤ ∞
The function \(f\in L_p[I], \;p>0,\) is called \((k,p)\)-differentiable at a point \(x_0\in I\) if there exists an algebraic polynomial of \(\pi\) of degree no more than \(k\) for which holds \( \Vert f-\pi \Vert_{L_p[J_h]} = o(h^{k+\frac{1}{p}}), \) where \(\;J_h=[x_0-h; x_0+h]\cap I.\) At an in...
Kaydedildi:
| Yazar: | |
|---|---|
| Materyal Türü: | Artigo |
| Dil: | Inglês |
| Baskı/Yayın Bilgisi: |
Yaroslavl State University
2018-06-01
|
| Seri Bilgileri: | Моделирование и анализ информационных систем |
| Konular: | |
| Online Erişim: | https://www.mais-journal.ru/jour/article/view/690 |
| Etiketler: |
Etiket eklenmemiş, İlk siz ekleyin!
|