We prove convergence in probability for particular sequences defined in terms of the digits appearing in Oppenheim Series expansions and Oppenheim Continued Fractions expansions of real numbers. Our results are obtained by first proving a general theorem (Theorem 2.2) having both kinds of expansion as particular cases.
Convergence results for Oppenheim expansions
Rita Giuliano
2017-01-01
Abstract
We prove convergence in probability for particular sequences defined in terms of the digits appearing in Oppenheim Series expansions and Oppenheim Continued Fractions expansions of real numbers. Our results are obtained by first proving a general theorem (Theorem 2.2) having both kinds of expansion as particular cases.File in questo prodotto:
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