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ACOMS+ 및 학술지 리포지터리 설명회

  • 한국과학기술정보연구원(KISTI) 서울분원 대회의실(별관 3층)
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  • P-ISSN1226-0657
  • E-ISSN2287-6081
  • KCI

ISSN : 1226-0657

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Vol.3 No.1

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EXTENSION OF GANELIUS' THEOREM

한국수학교육학회지시리즈B:순수및응용수학 / Journal of the Korean Society of Mathematical Education Series B: The Pure and Applied Mathematics, (P)1226-0657; (E)2287-6081
1996, v.3 no.1, pp.95-101
Park, Ae-Young
Park, Ae-Young. (1996). EXTENSION OF GANELIUS' THEOREM. 한국수학교육학회지시리즈B:순수및응용수학, 3(1), 95-101.

Abstract

In this paper, we extend Ganelius' lemma in Anderson [1]. In the Ganelius' original version several of the <TEX>${\alpha}$</TEX><TEX>$\sub$</TEX>k/ are equal to 1, but in our extension theorem we have the <TEX>${\alpha}$</TEX><TEX>$\sub$</TEX>k/ distinct and all unequal to 1. Then our theorem can be used to introduce an indefinite quadrature formula for ∫<TEX>$\sub$</TEX>-1/<TEX>$\^$</TEX>1/ f(<TEX>$\chi$</TEX>)d<TEX>$\chi$</TEX>, f <TEX>$\in$</TEX> H<TEX>$\^$</TEX>p/, with p ＞ 1. We will also correct an error in the proof of Ganelius' theorem provided in Ganelius [2].(omitted)

keywords

한국수학교육학회지시리즈B:순수및응용수학

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