Master's Dissertation
DOI
https://doi.org/10.11606/D.55.2003.tde-07072003-110212
Document
Author
Full name
Ana Carla Piantella
E-mail
Institute/School/College
Knowledge Area
Date of Defense
Published
São Carlos, 2003
Supervisor
Committee
Menegatto, Valdir Antonio (President)
Botelho, Geraldo Márcio de Azevedo
Bracciali, Cleonice Fatima
Title in Portuguese
"Interpolação e hiperinterpolação em esferas"
Keywords in Portuguese
esferas
hiperinterpolação
interpolação
Abstract in Portuguese
Os objetivos deste trabalho são: i) Fixado um inteiro
positivo n, estudar dois métodos "construtivos" para
aproximar-se uma função real contínua definida na esfera unitária
S ^{r-1} de R^r, por polinômios esféricos de grau <=n;
ii) Obter estimativas para as normas dos operadores de
interpolação e hiperinterpolação, comparando-as com a norma da
projeção ortogonal de C(S^{r-1}) sobre o espaço de polinômios
onde as aproximações residem.
Title in English
Interpolation and hiperinterpolation on the spheres
Keywords in English
hiperinterpolation
interpolation
spheres
Abstract in English
This work addresses two issues: i) To study two
constructive methods to approximate a real continuous function on
the unit sphere S^{r-1} of R^r by spherical polynomials of
degree <=n (n fixed); ii) To estimate the norms of the
interpolation and hyperinterpolation operators, comparing them
with the norm of the orthogonal projection of C(S^{r-1}) over
the polynomial space where the approximations live.
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Dissertacao.pdf (346.47 Kbytes)
Publishing Date
2003-08-22