Continued fractions built from convex sets and convex functions

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Continued fractions built from convex sets and convex functions

In a partially ordered semigroup with the duality (or polarity) transform, it is possible to define a generalisation of continued fractions. General sufficient conditions for convergence of continued fractions are provided. Two particular applications concern the cases of convex sets with the Minkowski addition and the polarity transform and the family of non-negative convex functions with the ...

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ژورنال

عنوان ژورنال: Communications in Contemporary Mathematics

سال: 2015

ISSN: 0219-1997,1793-6683

DOI: 10.1142/s0219199715500030