On approximation of nonperiodic functions by algebraic polynomials in $L_p$ metric ($0 < p < 1$)

Abstract

In the paper, we consider approximations of nonperiodic functions defined on $[-1, 1]$ by algebraic polynomials in $L_p$ metric ($0 < p < 1$).In particular, for some classes we provide the constructive characteristic in the same metric.