### A geometric proof to Cantor's theorem and an irrationality measure for some Cantor's series.

Marques, Diego (2008)

Annales Mathematicae et Informaticae

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Marques, Diego (2008)

Annales Mathematicae et Informaticae

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Panda, G.K., Ray, P.K. (2005)

International Journal of Mathematics and Mathematical Sciences

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Clahane, Dana D., Stević, Stevo (2006)

Journal of Inequalities and Applications [electronic only]

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Griffiths, Martin (2009)

Journal of Integer Sequences [electronic only]

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Grozdanov, V., Stoilova, S. (2004)

JIPAM. Journal of Inequalities in Pure & Applied Mathematics [electronic only]

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Holý, Dušan, Matejíčka, Ladislav, Pinda, Ľudovít (2008)

International Journal of Mathematics and Mathematical Sciences

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Ladislav Matejíčka (2009)

Mathematica Bohemica

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A structure of terms of $I$-faster convergent series is studied in the paper. Necessary and sufficient conditions for the existence of $I$-faster convergent series with different types of their terms are proved. Some consequences are discussed.

Ueki, Sei-Ichiro, Luo, Luo (2008)

Abstract and Applied Analysis

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Berenhaut, Kenneth S., Allen, Edward E., Fraser, Sam J. (2006)

Discrete Dynamics in Nature and Society

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Antonio Attalienti, Michele Campiti (2002)

Czechoslovak Mathematical Journal

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We define Bernstein-type operators on the half line $[0,+\infty [$ by means of two sequences of strictly positive real numbers. After studying their approximation properties, we also establish a Voronovskaja-type result with respect to a suitable weighted norm.