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Conditions for applicability of general
5 Quadrature formulas involving
11 other sections not shown
absolutely integrable accurate algebraic applying approximate approximation arbitrary parameter assume based case cases Chapter choice conditions consider constant weighting function construct convenient convergence converges corresponding cosp Cotes defined degree of precision denote depends determined discontinuities end-points equal equality equations equidistant tabular points error evaluate evaluating evaluation exact expansion expressed expression find first kind following follows form Fourier coefficients Fourier integral Fourier series Fourier transform function f general quadrature formulas given harmonic analysis improper increasing integrals integrand integration interval interpolation involving known large linear Math maximum degree methods Moskva number of ordinates numerical obtain Oscillating periodic function points x poly polynomial of degree practice proved pxdx quadrature formulas rapidly rate of decrease relative resulting results roots rules sign similar simple sinp sinpx small smooth strip subintervals sufficiently sums Suppose system table tabu templates terms theorem tion trapezoidal rule trigonometric polynomial type used using values weights yield zero