An error estimate for Stenger's quadrature formula
Abstract: The basis of this paper is the quadrature formula
An explicit form of the error is given for the case where the integrand has a factor of the form . Application is made to the evaluation of Cauchy principal value integrals with endpoint singularities and an appropriate error form is derived.
-  A. Erdélyi, W. Magnus, F. Oberhettinger, and F. G. Tricomi, Tables of integral transforms. Vol. II, McGraw-Hill Book Company, Inc., New York-Toronto-London, 1954. Based, in part, on notes left by Harry Bateman. MR 0065685
-  Frank Stenger, Integration formulae based on the trapezoidal formula, J. Inst. Math. Appl. 12 (1973), 103–114. MR 381261
Retrieve articles in Mathematics of Computation with MSC: 65D30
Retrieve articles in all journals with MSC: 65D30