TY - JOUR
T1 - Coconvex approximation in the uniform norm
T2 - The final frontier
AU - Kopotun, K.
AU - Leviatan, D.
AU - Shevchuk, I. A.
PY - 2006/1
Y1 - 2006/1
N2 - The paper deals with approximation of a continuous function, on a finite interval, which changes convexity finitely many times, by algebraic polynomials which are coconvex with it. We give final answers to open questions concerning the validity of Jackson type estimates involving the weighted Ditzian-Totik moduli of smoothness.
AB - The paper deals with approximation of a continuous function, on a finite interval, which changes convexity finitely many times, by algebraic polynomials which are coconvex with it. We give final answers to open questions concerning the validity of Jackson type estimates involving the weighted Ditzian-Totik moduli of smoothness.
KW - Coconvex approximation by polynomials
KW - Degree of approximation
UR - http://www.scopus.com/inward/record.url?scp=30744465080&partnerID=8YFLogxK
U2 - 10.1007/s10474-006-0010-3
DO - 10.1007/s10474-006-0010-3
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AN - SCOPUS:30744465080
SN - 0236-5294
VL - 110
SP - 117
EP - 151
JO - Acta Mathematica Hungarica
JF - Acta Mathematica Hungarica
IS - 1-2
ER -