Composite optimal formulas for approximate integration of weight integrals
Kholmat Shadimetov, Bahtiyor Daliyev
Abstract
In this work, an extremal function is found and the square of the norm of the error functional of composite quadrature formulas is calculated, the optimal coefficients of the quadrature formulas are also calculated. The uniqueness of optimal quadrature formulas is proved.
Topics & Concepts
Quadrature (astronomy)Tanh-sinh quadratureClenshaw–Curtis quadratureGauss–Laguerre quadratureMathematicsGauss–Kronrod quadrature formulaUniquenessNumerical integrationGauss–Jacobi quadratureGauss–Hermite quadratureNorm (philosophy)Composite numberApplied mathematicsWeight functionMathematical analysisGaussian quadratureIntegral equationNyström methodAlgorithmPhysicsPolitical scienceOpticsLawMathematical functions and polynomialsIterative Methods for Nonlinear EquationsElectromagnetic Scattering and Analysis