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- W2022094293 abstract "Es wird untersuch, unter welchen Bedingungen die Folge[d],definiert durch monoton ausfāllt, wenn (y i ) eine gegebene, monotone und Konvergierende Folge reller Zahlen ist. Für den Fall, daß die w (i) j nicht vom Index i abhängen, ergeben sich einfache Bedingungen, die auf Vorzeichenuntersuchungen gewisser polynome hinauslaufen. Der Fall n = 2 wird ausführlich behandelt. Assuming that (y i ) is a given, monotone, covergent sequence of real numbers, conditions are investigated under which the sequence (u i ) defined by is monotone. In case the w (i) j do not depend on the index i there are simple conditions arising from investigations of the sign of certain polynomials. The case n = 2 is treated in detail." @default.
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- W2022094293 date "1971-10-01" @default.
- W2022094293 modified "2023-09-27" @default.
- W2022094293 title "On the monotonicity preservation of polynomial extrapolation sequences" @default.
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- W2022094293 doi "https://doi.org/10.1080/00036817108839019" @default.
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