✦ LIBER ✦
Extremal properties of strong quadrature weights and maximal mass results for truncated strong moment problems
✍ Scribed by S. Clement Cooper; Philip E. Gustafson
- Publisher
- Elsevier Science
- Year
- 1997
- Tongue
- English
- Weight
- 863 KB
- Volume
- 80
- Category
- Article
- ISSN
- 0377-0427
No coin nor oath required. For personal study only.
✦ Synopsis
A bisequence of complex numbers {pLn}Ea determines a strong moment functional Y satisfying Y[x"] =pL,. If _Y is positive-definite on a bounded interval (a,b) c Iw{O}, then 44 has an integral representation 6P[xn]=~~_xn d$(x), n = 0, f 1,312,. ., and quadrature rules {w,i, x,,} exist such that ,,& = cI"i xilwnl. This paper is concerned with establishing certain extremal properties of the weights wnr an d using these properties to obtain maximal mass results satisfied by distributions $(x) representing 2 when only a finite bisequence of moments {,&};,l, is given.