On a class of generalized Stieltjes continued fractions

dc.contributor.author	Derkach, Vladimir
dc.contributor.author	Kovalyov, Ivan
dc.date.accessioned	2024-11-11T09:28:02Z
dc.date.available	2024-11-11T09:28:02Z
dc.date.issued	2015
dc.identifier.citation	Derkach, V. On a class of generalized Stieltjes continued fractions / V. Derkach, I. Kovalyov // Methods of Functional Analysis and Topology : Quarterly journal. – 2015. – Vol. 21, № 4. – pp. 315-335.	uk
dc.identifier.uri	http://enpuir.npu.edu.ua/handle/123456789/46673
dc.description.abstract	With each sequence of real numbers s = {sj}∞j=0 two kinds of continued fractions are associated, — the so-called P-fraction and a generalized Stieltjes fraction that, in the case when s = {sj}∞j=0 is a sequence of moments of a probability measure on +, coincide with the J-fraction and the Stieltjes fraction, respectively. A subclass Hreg of regular sequences is specified for which explicit formulas connecting these two continued fractions are found. For s ∈ Hreg the Darboux transformation of the corresponding generalized Jacobi matrix is calculated in terms of the generalized Stieltjes fraction.	uk
dc.language.iso	en	uk
dc.subject	Moment problem	uk
dc.subject	continued fraction	uk
dc.subject	generalized Stieltjes fraction	uk
dc.subject	Darboux transformation	uk
dc.subject	generalized Jacobi matrix	uk
dc.subject	triangular factorization	uk
dc.subject	unwrapping transformation	uk
dc.title	On a class of generalized Stieltjes continued fractions	uk
dc.type	Article	uk