12,656 research outputs found
Bivariate Lagrange interpolation at the node points of Lissajous curves - the degenerate case
In this article, we study bivariate polynomial interpolation on the node
points of degenerate Lissajous figures. These node points form Chebyshev
lattices of rank and are generalizations of the well-known Padua points. We
show that these node points allow unique interpolation in appropriately defined
spaces of polynomials and give explicit formulas for the Lagrange basis
polynomials. Further, we prove mean and uniform convergence of the
interpolating schemes. For the uniform convergence the growth of the Lebesgue
constant has to be taken into consideration. It turns out that this growth is
of logarithmic nature.Comment: 26 pages, 6 figures, 1 tabl
Defining \u27radical pietism\u27: the case of Gottfried Arnold
Boehmist discourse in his Sophia
Mary for All Christians
Reviewed Book: Macquarrie, John. Mary for All Christians. Grand Rapids: Eerdmans, 1990
The Achievement of John Henry Newman
Reviewed Book: Ker, Ian T. The Achievement of John Henry Newman. [S.l.]: Univ of Notre Dame Press, 1990
Against Religion: Why We Should Try to Live Without It
Reviewed Book: Wilson, A N. Against Religion: Why We Should Try to Live Without It. London: Chatto & Windus, 1991. Chatto Counterblasts; 19. Reviewed Book: Wilson, A N. How Can We Know: An Essay on the Christian Religion. New York: Atheneum, 1985
John of the Cross: Selected Writings
Reviewed Book: John of the Cross, Saint. John of the Cross: Selected Writings. New York: Paulist Press, 1987. Reviewed Book: Bernard, of Clairvaux, Saint. Selected Works. New York: Paulist Press, 1987
Faith, Reason and Theology: Questions 1-4 of His Commentary on the \u27De Trinitate\u27 of Boethius
Reviewed Book: Thomas, Aquinas, Saint. Faith, Reason and Theology: Questions 1-4 of His Commentary on the De Trinitate of Boethius. Toronto: Pontifical Inst of Medieval Studies, 1987
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