Two problems concerning uniform polynomial approximation of continuous functions

Анотація

We remind two theorems closely connected with the fundamental P.L. Chebyshev`s theorem on the best approximation of functions by polynomials, namely S.N. Bernstein`s theorem on reconstruction of a function by its deviations from polynomials, and the author`s one on distribution of Chebyshev`s alternance points. In connection with this two results two open (in author`s opinion) problems are formulated.