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| Author(s): |
Cristiano dos Santos
Total Authors: 1
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| Document type: | Master's Dissertation |
| Press: | São Carlos. |
| Institution: | Universidade de São Paulo (USP). Instituto de Ciências Matemáticas e de Computação (ICMC/SB) |
| Defense date: | 2017-08-30 |
| Examining board members: |
Thaís Jordão;
Dimitar Kolev Dimitrov;
Valdir Antonio Menegatto;
Sergio Antonio Tozoni
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| Advisor: | Thaís Jordão |
| Abstract | |
In this work, we firstly explored certain moduli of smoothness and K - functionals defined on the m-dimensional unit sphere and their properties, mainly their asymptotic equivalence and relation to the best approximation error. The main reference is (DAI; XU, 2010). Later we consider a moduli of smoothness and a K-functional on a general setting, namely two-point homogeneous spaces, which has the unit spheres as one of its classes. Relations between those tools and the rate of approximation of the shiffting operator were studied. The main references here were (PLATONOV, 2009) and (PLATONOV, 1997). (AU) | |
| FAPESP's process: | 15/11703-8 - Moduli of smoothness and K-functionals on the unit sphere and ball |
| Grantee: | Cristiano dos Santos |
| Support Opportunities: | Scholarships in Brazil - Master |