ON K -MONOTONE APPROXIMATION IN LP
DOI:
https://doi.org/10.31642/JoKMC/2018/010113Keywords:
k -monotone polynomial, interpolationAbstract
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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References
E. Bhaya and S. AL-Berman , Inverse And Direct Theorem For Monotone
Approximation , A paper Introduced to The First Scientific Conference of Pure and
Applied Sciences In Kufa University , 2008 .
Bhaya , E. S. , On The Constrained And Unconstrained Approximation, Ph. Thesis,
College of Education Ibn Al-Haitham, University Of Baghdad , 2003 .
Kopotun , Kirill A. and Alexei S. , On k -Monotone Approximation By Free Knot
Splines , Society For Industrial and Applied Mathematics , 2003 .
Kopotun , Kirill A. , On k -Monotone Polynomial An Spline Approximation In P L ,
< p < ¥, quasi norm , J. Approx. Theory , 295-302 .
Kopotun , Kirill A. , Whitney Theorem Of Interpolatory Type For k - Monotone
Functions , Constructive Approximation , 17 : 307-317 , 2001 .
N. L. Carothers , A Short Course On Approximation Theory , Bowling Green State
University , 1998 .
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