Abstract
In this paper we study the construction problem of spherical -designs as a generalization of the Chebyshev problem of Gauss type quadrature formula. It is known that spherical -designs can be constructed if we can construct interval -designs for the weight function . We shall show the exsitence and non-existence theorems of some interval -desings.
Acknowledgment
It is a pleasure to express my sincere gratitude to the referee for his valuable comments.
Citation
Shigeto Nishimura. "Spherical -designs and the Bernstein Theorem." SUT J. Math. 39 (1) 1 - 14, January 2003. https://doi.org/10.55937/sut/1059540776
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