• Title/Summary/Keyword: absolute monotonicity

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SOME INEQUALITIES AND ABSOLUTE MONOTONICITY FOR MODIFIED BESSEL FUNCTIONS OF THE FIRST KIND

  • Guo, Bai-Ni;Qi, Feng
    • Communications of the Korean Mathematical Society
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    • v.31 no.2
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    • pp.355-363
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    • 2016
  • By employing a refined version of the $P{\acute{o}}lya$ type integral inequality and other techniques, the authors establish some inequalities and absolute monotonicity for modified Bessel functions of the first kind with nonnegative integer order.

A Critical Analysis on an explanation for Monotonicity and Local Extrema of functions in Korean Mathematics Textbooks (우리나라 고등학교 수학 교과서에서 함수의 증감과 극대.극소를 설명하는 방식에 대한 비판적 논의)

  • Kye, Seung-Hyeok;Ha, Kil-Chan
    • The Mathematical Education
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    • v.49 no.2
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    • pp.247-257
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    • 2010
  • In this article an explanation of monotonicity of functions and the definition of local extrema in Korean highschool textbooks based on national curriculum(revised in 2007) are analyzed critically. On the basis of this analysis, we indicate some problems and propose its improvements.