On the Jackson constants for algebraic approximation of continuous functions

A. G. Babenko, Yu. V. Kryakin

We establish new estimates for the constant $J_a(k,\alpha )$ in the Brudnyi-Jackson inequality for approximation of $f\in C[-1,1]$ by algebraic polynomials: $$ E_{n}^a (f) \le J_a(k, α)…