Let I = (c, d), c < 0 < d, Q ∈ C 1 : I → [0, ∞) be a function with given regularity behavior on I. Write w := exp(−Q) on I and assume that I x n w 2 (x)dx < ∞ for all n = 0, 1, 2, . . .. For x ∈ I, we consider the problem of the analytic and numerical approximation of the Cauchy principal value integral:for a class of functions f : , 2, 3, 4], the first two authors studied this problem and some of its applications for even exponential weights w on (−∞, ∞) of smooth polynomial decay at ±∞ and given regularity.
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