Continued fractions with restricted variation properties

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Conditions are studied under which a continued fraction has the property that for each positive integer k, its sequence of approximants is a finite linear combination of convergent sequences having nonnegative k-th differences.


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Dedicated to the memory of ProfessorH. S. Wall

Entrata in Redazione l’8 giugno 1974.

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Dawson, D.F. Continued fractions with restricted variation properties. Annali di Matematica 106, 219–231 (1975).

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  • Positive Integer
  • Linear Combination
  • Continue Fraction
  • Variation Property
  • Convergent Sequence