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NEGATIVE THEOREM FOR L P ,0<P<1 MONOTONE APPROXIMATION
2017
Journal of Kufa for Mathematics and Computer
unpublished
For a given nonnegative integer number n, we can find a monotone function f depending on n, defined on the interval I=[-1,1], and an absolute constant c>0, satisfying the following relationship: (́) () () (́) , where () is the degree of the best L p monotone approximation of the function f by algebraic polynomial of degree not exceeding n+1. (́) is the degree of the best L p approximation of the functiońbyfunctioń functiońby algebraic polynomial of degree not exceeding n.
fatcat:evgxshkdhnfbxfksm5yyofiyha