A New Quadrature Rule Derived from Spline Interpolation with Error Analysis
نویسنده
چکیده
We present a new quadrature rule based on the spline interpolation along with the error analysis. Moreover, some error estimates for the reminder when the integrand is either a Lipschitzian function, a function of bounded variation or a function whose derivative belongs to L are given. We also give some examples to show that, practically, the spline rule is better than the trapezoidal rule. Keywords—Quadrature, Spline interpolation, Trapezoidal rule, Numerical integration, Error analysis.
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