Convergence Results for Piecewise Linear Quadratures for Cauchy Principal Value Integrals
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چکیده
Conditions on 7c and / are given for the pointwise and uniform convergence to the Cauchy principal value integral rmm _1<A<1, j-i x~x of a sequence of integrals of piecewise linear approximations to f(x) or g\(x) = (f(x) — f(X))/(x — A). The important special case, k(x) = (1 a;)a(l + x)13, is considered in detail.
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تاریخ انتشار 2010