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- W788106703 abstract "We consider two-sided continued fractions in Banach algebras, that is K = b 0 + a 1 ( b 1 + a 2 ( b 2 + … ) − 1 c 2 ) − 1 c 1 , where the coefficients b n , a n , c n are elements of some Banach algebra. We prove convergence criteria which are exact generalizations of the well-known Pringsheim-type convergence criteria for complex continued fractions, and state a result concerning the rate of convergence. Both convergence criteria and error bounds improve all known results." @default.
- W788106703 created "2016-06-24" @default.
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- W788106703 date "2015-11-01" @default.
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- W788106703 title "Two-sided continued fractions in Banach algebras— A Śleszyński–Pringsheim-type convergence criterion and applications" @default.
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- W788106703 doi "https://doi.org/10.1016/j.jat.2015.06.005" @default.
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