ON K -MONOTONE APPROXIMATION IN LP

Autor: Malik Saad Al-Muhja, Eman Samir Bhaya
Jazyk: angličtina
Rok vydání: 2010
Předmět:
Zdroj: Journal of Kufa for Mathematics and Computer, Vol 1, Iss 1 (2010)
Druh dokumentu: article
ISSN: 2076-1171
2518-0010
DOI: 10.31642/JoKMC/2018/010113
Popis: In 1995 Kopotun [4], introduced a paper on k -monotone polynomial and spline approximation in P L , 0 < p < ¥ quasi norm . In this paper, we discuss the errors of approximation of k -monotone function by k - monotone interpolation . It turns out that any two k -monotone functions f and g , whose graphs intersect each other at certain ( sufficiently many ) points in [a,b], have to be "close" to each other in the sense that P f - g , has to be small .
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