TY - JOUR
T1 - Shape-preserving approximation by polynomials
AU - Leviatan, D.
PY - 2000
Y1 - 2000
N2 - We are going to survey recent developments and achievements in shape-preserving approximation by polynomials. We wish to approximate a function f defined on a finite interval, say [-1, 1], while preserving certain intrinsic `shape' properties. To be specific we demand that the approximation process preserves properties of f, like its sign in all or part of the interval, its monotonicity, convexity, etc. We will refer to these properties as the shape of the function.
AB - We are going to survey recent developments and achievements in shape-preserving approximation by polynomials. We wish to approximate a function f defined on a finite interval, say [-1, 1], while preserving certain intrinsic `shape' properties. To be specific we demand that the approximation process preserves properties of f, like its sign in all or part of the interval, its monotonicity, convexity, etc. We will refer to these properties as the shape of the function.
UR - http://www.scopus.com/inward/record.url?scp=0034273050&partnerID=8YFLogxK
U2 - 10.1016/S0377-0427(00)00338-1
DO - 10.1016/S0377-0427(00)00338-1
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AN - SCOPUS:0034273050
SN - 0377-0427
VL - 121
SP - 73
EP - 94
JO - Journal of Computational and Applied Mathematics
JF - Journal of Computational and Applied Mathematics
IS - 1
ER -