2015•Unpublished venueRequires access

An Open type Mixed Quadrature Rule using Fejer and Gaussian

Dwiti Krushna Behera, Ajit Kumar Sethi, Rajani Ballav Dash

Abstract

A mixed quadrature rule of higher precision for approximate evaluation of real definite integrals has been constructed. The analytical convergence of the rule has been studied. The relative efficiencies of the proposed mixed quadrature rules have been compared with the help of suitable test integrals. The error bound has been determined asymptotically.

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Key concepts: Gaussian quadrature, Mathematics, Clenshaw–Curtis quadrature, Gauss–Kronrod quadrature formula, Quadrature (astronomy), Tanh-sinh quadrature, Gauss–Hermite quadrature, Applied mathematics