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- W2033485778 abstract "Let ${a_1},{a_2}, ldots ,{a_p}$ be given real numbers ordered by size, and let $[alpha ,beta ]$ be a real interval disjoint from the set ${ {a_1},{a_2}, ldots ,{a_p}}$. Let ${ c_j^{(i)}:j = 1,2, ldots }$, be sequences of real numbers and ${c_0}$ be a real number. The extended Stieltjes moment problem is to find a distribution function $psi$ with all its points of increase in $[alpha ,beta ]$ such that [ int _alpha ^beta {dpsi (t) = {c_0},quad int _alpha ^beta {frac {{dpsi (t)}}{{{{(t - {a_i})}^j}}} = c_j^{(i)},quad i = 1, ldots ,p,;j = 1,2, ldots .} } ] Necessary and sufficient conditions for the existence of a unique solution of the problem are given. Orthogonal $R$-functions and Gaussian quadrature formulas play important roles in the proof." @default.
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- W2033485778 date "1988-01-01" @default.
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- W2033485778 title "Unique solvability of an extended Stieltjes moment problem" @default.
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- W2033485778 doi "https://doi.org/10.1090/s0002-9939-1988-0915720-4" @default.
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