Note on the best approximation in $L^1$ metric

Abstract

We present one of the approaches to find the best approximation of the given function by trigonometric polynomials in $L^1$ metric and applied it to find the optimal constants in the Nikolsky's type inequality, concerning approximation of Lipschitz functions by algebraic polynomials.

References in corpus (1)

• $L$-approximation of $B$-splines by trigonometric polynomials