discipline

Mathematics

subject

Approximation theory

lecturers

Gábor Halász

credits

2

period

fourth semester

curriculum

Approximation by Fejér means, de la Vallée Poussin operator, Fejér-Hermite interpolation, Bernstein polynomial.

 

Positive linear operators.

 

Jackson's and Timan's theorems on the order of approximation. Approximation of analytic functions.

 

Best polynomial approximation. Tchebycheff systems. Tchebycheff polynomials.

 

Bernstein, Markov theorems for the derivatives of polynomials. Using methods of complex functions.

 

Inverse theorems. Characterization of Lipschitz and analytic functions by approximation.

 

General projection operators. Berman's theorem.

 

Interpolation in L2 norm, the Large Sieve of number theory.

literature

 

form of tuition

Lectures

mode of assessment

oral exam