Numerical Integration: Proceedings of the Conference Held at the Mathematisches Forschungsinstitut Oberwolfach, October 4–10, 1981

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Front Matter ....Pages 1-11 Families of Structured Quadrature Rules and Some Ramifications of Reducibility (Christopher T. H. Baker)....Pages 12-24 Oscillating Polynomials of Least L1-Norm (Borislav Bojanov)....Pages 25-33 Zur Quadraturtheorie Konvexer Funktionen (Helmut Braß)....Pages 34-47 Duale Quadraturen (Hermann Engels, Anton Merschen)....Pages 48-54 Expressions for Divergent Integrals in Terms of Convergent Ones (Henry E. Fettis)....Pages 55-59 The Euler-MacLauren Formula as an Asymptotic Form of Poisson’s (Henry E. Fettis)....Pages 60-65 A Comparison Theorem for Linear Functionals and its Application in Quadrature (Klaus-Jürgen Förster)....Pages 66-76 Multidimensional Euler Summation Formulas and Numerical Cubature (Willi Freeden)....Pages 77-88 An Algorithmic Implementation of the Generalized Christoffel Theorem (Walter Gautschi)....Pages 89-106 A Quadrature Formula of Infinite Order (R. Gervais, Q. I. Rahman, G. Schmeisser)....Pages 107-118 Construction of Known and New Cubature Formulas of Degree Five for Three-Dimensional Symmetric Regions, Using Orthogonal Polynomials (Ann Haegemans)....Pages 119-127 Quadraturrest, Approximation und Chebyshev-Polynome (Werner Haußmann, Karl Zeller)....Pages 128-137 Optimal Quadrature of Convex Functions (Gerhard Heindl)....Pages 138-147 Ein Elementarer Beweis des Satzes von Krein (Kurt Jetter)....Pages 148-153 Some Reflections on the Euler-Maclaurin Sum Formula (Donald Kershaw)....Pages 154-163 A Note on Cubature over a Triangle of a Function Having Specified Singularities (J. N. Lyness, L. Gatteschi)....Pages 164-169 Gaussian Cubature Formulae of Degree 2 and 3 (H. M. Möller)....Pages 170-176 Boolean Constructed Cubature Formulas of Interpolatory Type (Gerd Neumann)....Pages 177-186 Gaussian Quadrature Applied to Eigenvalue Approximations (E. Schäfer)....Pages 187-197 Gruppentheoretische Aspekte der Quadratur und Kubatur (Walter Schempp)....Pages 198-211 Quadrature and Generalized Hermite Interpolation (Claus Schneider)....Pages 212-221 Asymptotic Expansions for Quadrature Errors over a Simplex (A. van der Sluis)....Pages 222-240 Quadrature Formulas Constructed by Using Certain Linear Positive Operators (D. D. Stancu)....Pages 241-251 Unicity of Best One-Sided L1-Approximations with Applications to Moment Theory and Quadrature Formulae (Hans Strauß)....Pages 252-261 Improved Convergence for Product Integration (K. S. Thomas)....Pages 262-267 Back Matter ....Pages 268-275