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Approximations for constant \(e\) and their applications - MaRDI portal

Approximations for constant \(e\) and their applications (Q5953092)

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scientific article; zbMATH DE number 1690960
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Approximations for constant \(e\) and their applications
scientific article; zbMATH DE number 1690960

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    Approximations for constant \(e\) and their applications (English)
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    24 November 2002
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    Approximations for the constant \(e\) were obtained by many authors including Yang and Debnath; Yang; Sándor and Debnath; Xie and Zhong, etc. The author now uses a series representation for \({1\over e}(1+ 1/x)^x\), in order to strengthen the inequalities of Hardy, as well as Carleman.
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    Hardy inequality
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    Carleman inequality
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    inequalities for the constant \(e\)
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