TY - JOUR
T1 - Monotone polynomial approximation in Lp
AU - Leviatan, D.
PY - 1989
Y1 - 1989
N2 - Jackson type estimates on the rate of approximation of monotone functions in Lp[—1, 1] by means of monotone polynomials are obtained. The estimates involve an Lp modulus of continuity or equivalently a Peetre functional that weighs differently the behavior of the function in the middle of the interval and near the end points.
AB - Jackson type estimates on the rate of approximation of monotone functions in Lp[—1, 1] by means of monotone polynomials are obtained. The estimates involve an Lp modulus of continuity or equivalently a Peetre functional that weighs differently the behavior of the function in the middle of the interval and near the end points.
KW - Degree of monotone approximation
KW - Jackson type estimates
KW - Lp-modulus of continuity
KW - Peetre kernel
UR - http://www.scopus.com/inward/record.url?scp=0039121212&partnerID=8YFLogxK
U2 - 10.1216/RMJ-1989-19-1-231
DO - 10.1216/RMJ-1989-19-1-231
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AN - SCOPUS:0039121212
SN - 0035-7596
VL - 19
SP - 231
EP - 241
JO - Rocky Mountain Journal of Mathematics
JF - Rocky Mountain Journal of Mathematics
IS - 1
ER -