Resumen de Nikolskii-type estimates for coconvex approximation of functions with one inflection poin

German A. Dzyubenko, D. Leviatan, I. A. Shevchuk

• For each r ∈ N we prove the Nikolskii type pointwise estimate for coconvex approximation of functions f ∈ Wr, the subspace of all functions f ∈ C[−1, 1], possessing an absolutely continuous (r − 1)st derivative on (−1, 1) and satisfying f(r) ∈ L∞[−1, 1], that change their convexity once on [−1, 1].