K-functionals of fractional orders and moduli of smoothness on a general setting

• Grant number: 17/07442-0
• Support Opportunities: Scholarships abroad - Research
• Start date: November 01, 2017
• End date: October 31, 2018
• Field of knowledge: Physical Sciences and Mathematics - Mathematics - Analysis
• Principal Investigator: Thaís Jordão
• Grantee: Thaís Jordão
• Host Investigator: Sergey Tikhonov
• Host Institution: Instituto de Ciências Matemáticas e de Computação (ICMC). Universidade de São Paulo (USP). São Carlos , SP, Brazil
• Institution abroad: Centre de Recerca Matemàtica (CRM), Spain
• Associated research grant: 16/09906-0 - Harmonic analysis, approximation theory and applications, AP.TEM

Abstract

The main goal of this project refers to characterizations of K-functionals (with fractional orders) on a general setting: compact two-point homogeneous space of rank one. Characterizations of this nature are highly important in Approximation Theory, where one of the most important problem is to feature the best approximation of a function by more simple functions (in the meaning of smoothness). This kind of characterization has its version for functions defined on spherical setting and since compact two-point homogeneous space of rank one have a very similar of harmonic analysis defined on them it is intended to explore it on this project. (AU)

Scientific publications

(References retrieved automatically from Web of Science and SciELO through information on FAPESP grants and their corresponding numbers as mentioned in the publications by the authors)

CASTRO, MARIO H.; JORDAO, THAIS; PERON, ANA P.. Super-exponential decay rates for eigenvalues and singular values of integral operators on the sphere. Journal of Computational and Applied Mathematics, v. 364, JAN 15 2020. (16/09906-0, 16/02847-9, 17/07442-0)