FM5002-HW10-4.18.12 (1)

1 let h n be the nth histogram an d defin e p n x a

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Unformatted text preview: ogram an d defin e p n x a s follows : If x is outside the span of H n , then p n x 0. If x is un der exactly on e bar of H n , then p n x is the height of that bar. If x is at the borderlin e of two bars, then p n x is the height of the leftmost of those two bars. Let p x e x2 2 2Π . We proved in this topic that for all x For all in tegers n 1 an d all x , lim p n x n p x. , defin e f n x a s follows : If x is outside the span of H n , then f n x 0. If x is un der exactly on e bar of H n , then f n x is the midpoin t of the base of that bar. 2 FM5002−HW10−4.18.12.nb If x is at th...
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This note was uploaded on 01/19/2014 for the course MATH 5002 taught by Professor Adams during the Spring '08 term at Minnesota.

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