Objective
This is a project in harmonic analysis and approximation theory.We present research actions in the following three topics, which are closely related to each other:1. Generalised Lipschitz class and Fourier series. 2. Moduli of smoothness of fractional orde r. 3.Relationship between Besov, Nikolsky, Besov-Nikolsky and Weyl-Nikolsky classes of functions. In the first topic, the objective consists in finding necessary and sufficient conditions on the Fourier coefficients of a function to belong to a generalised Lipschitz class. These types of results are, nowadays, known as Boas-type results, since it was R.P. Boas who in 1967 proved the first characterisation of this type. Since then, this theory has been widely studied by several authors (M. and S. Izumi, 1969 ; J. Nemeth, 1990; L Leindler, 2000). Their papers contain Boas-type results for a particular class of Lipschitz function and use the moduli of smoothness only of order one and two. The goal of the project consists in extending this result to a very genera l Lipschitz class and proving the corresponding results for moduli of smoothness of any order. The main object to study in the second topic is the concept of modulus of smoothness of fractional order. The first objective is to give the description of smoot hness modulus of fractional order and to find its decrease to zero's order for a certain class of functions. The second goal of the project in this topic is to prove direct theorems of approximation theory for constrained approximation. Here the concept of averaged moduli of smoothness of fractional order and fractional K-functionals will be used. Finally, the third topic, which is connected with the estimate of the moduli of smoothness previously presented, consists in studying the relationship between dif ferent classes of functions such as Besov, Nikolsky, Besov-Nikolsky and Weyl-Nikolsky classes, together with the problem of finding the corresponding interpolation spaces.
Fields of science (EuroSciVoc)
CORDIS classifies projects with EuroSciVoc, a multilingual taxonomy of fields of science, through a semi-automatic process based on NLP techniques. See: The European Science Vocabulary.
CORDIS classifies projects with EuroSciVoc, a multilingual taxonomy of fields of science, through a semi-automatic process based on NLP techniques. See: The European Science Vocabulary.
This project has not yet been classified with EuroSciVoc.
Be the first one to suggest relevant scientific fields and help us improve our classification service
You need to log in or register to use this function
Keywords
Project’s keywords as indicated by the project coordinator. Not to be confused with the EuroSciVoc taxonomy (Fields of science)
Project’s keywords as indicated by the project coordinator. Not to be confused with the EuroSciVoc taxonomy (Fields of science)
Programme(s)
Multi-annual funding programmes that define the EU’s priorities for research and innovation.
Multi-annual funding programmes that define the EU’s priorities for research and innovation.
Topic(s)
Calls for proposals are divided into topics. A topic defines a specific subject or area for which applicants can submit proposals. The description of a topic comprises its specific scope and the expected impact of the funded project.
Calls for proposals are divided into topics. A topic defines a specific subject or area for which applicants can submit proposals. The description of a topic comprises its specific scope and the expected impact of the funded project.
Call for proposal
Procedure for inviting applicants to submit project proposals, with the aim of receiving EU funding.
Procedure for inviting applicants to submit project proposals, with the aim of receiving EU funding.
FP6-2002-MOBILITY-7
See other projects for this call
Funding Scheme
Funding scheme (or “Type of Action”) inside a programme with common features. It specifies: the scope of what is funded; the reimbursement rate; specific evaluation criteria to qualify for funding; and the use of simplified forms of costs like lump sums.
Funding scheme (or “Type of Action”) inside a programme with common features. It specifies: the scope of what is funded; the reimbursement rate; specific evaluation criteria to qualify for funding; and the use of simplified forms of costs like lump sums.
IIF - Marie Curie actions-Incoming International Fellowships
Coordinator
BELLATERRA
Spain
The total costs incurred by this organisation to participate in the project, including direct and indirect costs. This amount is a subset of the overall project budget.