ABSTRACT
Let { c k } k = − ∞ ∞ https://s3-euw1-ap-pe-df-pch-content-public-p.s3.eu-west-1.amazonaws.com/9781003072126/15070696-a94f-4da5-a117-8ee069a896b3/content/eq123.tif"/> be a bisequence of real numbers such that the strong Stieltjes moment problem (SSMP) for { c k } k = − ∞ ∞ https://s3-euw1-ap-pe-df-pch-content-public-p.s3.eu-west-1.amazonaws.com/9781003072126/15070696-a94f-4da5-a117-8ee069a896b3/content/eq124.tif"/> has a solution. That is, there exists a distribution function, ψ, (bounded, nondecreasing with infinitely many points of increase on (0, ∞)) such that c k = ∫ 0 ∞ ( − t ) k d φ ( t ) , k = 0 , ± 1 , ± 2 , .... https://s3-euw1-ap-pe-df-pch-content-public-p.s3.eu-west-1.amazonaws.com/9781003072126/15070696-a94f-4da5-a117-8ee069a896b3/content/eq125.tif"/>
