Speciality:
01.01.01 (Real analysis, complex analysis, and functional analysis)
Birth date:
24.05.1942
Keywords: fourier series,
best approximations,
Kolmogorov width,
function spaces,
linear methods,
modulus of continuity,
best approximations of integrals by integrals of finite rank,
absolute convergence of integrals.
Subject:
The methods are developed allowing to solve one of the main problems of approximation theory - problem of Kolmogorov–Nikolsky on classes of functions defined by moduli of continuity. The classification of periodic and non-periodic functions defined on whole real axis is proposed. The new approach is proposed to solution of problems of approximation of analytic functions in jordan domains.
Main publications:
Classification and Approximation of Periodic Functions. DORDRECH, Kluwer, 1995 (Mathem. And applic. Vol. 333). 360 p.
Uniform Approximations - by Trigonometric Polinomials.Utrecht, Boston, Koln, Tokyo, 2001. 483 p.
