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].
|Number of pages||14|
|Journal||Jaen Journal on Approximation|
|State||Published - 21 Jun 2010|
- Coconvex polynomial approximation
- Pointwise estimates