Displaying similar documents to “On Cubature Formulae with a Minimal Number of Knots.”

Generalized Kronrod Patterson type imbedded quadratures

Sylvan Elhay, Jaroslav Kautský (1992)

Applications of Mathematics

Similarity:

We present algorithms for the determination of polynomials orthogonal with respect to a positive weight function multiplied by a polynomial with simple roots inside the interval of integration. We apply these algorithms to search for and calculate all possible sequences of imbedded quadratures of maximal polynomials order of precision for the generalized Laguerre and Hermite weight functions.

Minimal degree sequence for 2-bridge knots

Prabhakar Madeti, Rama Mishra (2006)

Fundamenta Mathematicae

Similarity:

We discuss polynomial representations for 2-bridge knots and determine the minimal degree sequence for all such knots. We apply the connection between rational tangles and 2-bridge knots.