equal ripple property

[¦ē·kwəl ′rip·əl ‚präp·ərd·ē] (mathematics) For any continuous function ƒ(x) on the interval -1,1, and for any positive integer n, a property of the polynomial of degree n, which is the best possible approximation to ƒ(x) in the sense that the maximum absolute value of e_n(x) = ƒ(x) -p_n(x) is as small as possible; namely, that e_n(x) assumes its extreme values at least n + 2 times, with the consecutive extrema having opposite signs.

单词	equal ripple property
释义	equal ripple property equal ripple property [¦ē·kwəl ′rip·əl ‚präp·ərd·ē] (mathematics) For any continuous function ƒ(x) on the interval -1,1, and for any positive integer n, a property of the polynomial of degree n, which is the best possible approximation to ƒ(x) in the sense that the maximum absolute value of e_n(x) = ƒ(x) -p_n(x) is as small as possible; namely, that e_n(x) assumes its extreme values at least n + 2 times, with the consecutive extrema having opposite signs.
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