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Your search keyword '"Irrational number"' showing total 2 results
2 results on '"Irrational number"'

1. CONTINUED FRACTIONS, INTERMEDIATE FRACTIONS AND THEIR RELATION TO THE BEST APPROXIMATIONS.

Author

MILINKOVIC, LUKA, MALESEVIC, BRANKO, and BANJAC, BOJAN

Subjects
*IRRATIONAL numbers, *CONTINUED fractions, *FRACTIONS, *ART theory
Abstract

The subject of this paper is the current state of art in theory of continued fractions, intermediate fractions and their relation to the best rational approximations of the first and second kind. The paper provides an overview of the some well known and even some new properties of continued fractions, and the various terms associated with them. In addition to intermediate fractions, paper considers the fine intermediate fractions and gave some statements to position these fractions in the continued fraction representation of numbers. [ABSTRACT FROM AUTHOR]

Published
2020
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2. Estimates of the averaged sums of fractional parts.

Author

Sevast'yanov, E. and Yakupov, I.

Subjects
*ARITHMETIC, *ESTIMATION theory, *ADDITION (Mathematics), *IRRATIONAL numbers, *INVERSE problems
Abstract

We establish asymptotically sharp estimates for the sums of the inverses (and more general sums) of the fractional parts { iθ} of irrational numbers θ, depending on the arithmetical characteristics of the numbers θ. [ABSTRACT FROM AUTHOR]

Published
2016
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