discipline 
Mathematics

subject 
Approximation
theory

lecturers 
Gábor Halász 
credits 
2 
period 
fourth semester 
curriculum 
Approximation by Fejér means, de la Vallée Poussin operator, FejérHermite 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 