On the weights of Sard's quadrature formulas

DOI10.1007/BF02575942zbMath0688.41031MaRDI QIDQ1263766

K. Appert

Publication date: 1988

Published in: Calcolo (Search for Journal in Brave)

zbMATH Keywords

Gauss-Legendre formulasweights of quadrature formulas

Mathematics Subject Classification ID

Approximate quadratures (41A55) Numerical integration (65D30)

Related Items (15)

Construction of \(D^m\)-splines in \(L_2^{(m)}(0, 1)\) space by Sobolev method ⋮ Optimal quadratures in the sense of sard in a Hilbert space ⋮ Optimal Quadrature Formulas and Interpolation Splines Minimizing the Semi-Norm in the Hilbert Space $$K_{2}(P_{2})$$ ⋮ The order of convergence of an optimal quadrature formula with derivative in the space W(2,1)2 ⋮ Optimal quadrature formulas with positive coefficients in \(L_2^{(m)}(0, 1)\) space ⋮ On an optimal quadrature formula in the sense of Sard ⋮ OPTIMAL QUADRATURE FORMULAS FOR FOURIER COEFFICIENTS IN <i>W</i>₂^{(<i>m</i>,<i>m</i>-1)} 2 SPACE ⋮ Optimal quadrature formulas of Euler-Maclaurin type ⋮ Construction of optimal quadrature formulas for Fourier coefficients in Sobolev space \(L_{2}^{(m)}(0,1)\) ⋮ Optimal quadrature formula in \(K_2(P_2)\) space ⋮ Optimal quadrature formulas in the sense of Sard in \(W_2^{(m,m-1)}\) space ⋮ Construction of optimal quadrature formulas exact for exponentional-trigonometric functions by Sobolev's method ⋮ Оптимальные формулы типа Эйлера-Маклорена для численного интегрирования в пространстве Соболева ⋮ Estimates for Sard's best formulas for linear functionals on \(C^ s[a,b\)] ⋮ Construction of Interpolation Splines Minimizing the Semi-norm in the Space K2(Pm)

Cites Work

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• On Sard's quadrature formulas of order two
• Cardinal interpolation and spline functions. VI: Semi-cardinal interpolation and quadrature formulae
• Spline approximation by quasiinterpolants
• Some geometrical theorems for abscissas and weights of Gauss type
• A second look at approximate quadrature formulae and spline interpolation
• A Bound on the L ∞ -Norm of L 2 -Approximation by Splines in Terms of a Global Mesh Ratio
• On Semicardinal Quadrature Formulae
• Best Approximate Integration Formulas

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