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  • P-ISSN3059-0604
  • E-ISSN3059-1309
  • KCI

ISSN : 3059-0604

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Vol.3 No.1

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Journal of the Korean Society of Mathematical Education Series B: Theoretical Mathematics and Pedagogical Mathematics / Journal of the Korean Society of Mathematical Education Series B: Theoretical Mathematics and Pedagogical Mathematics, (P)3059-0604; (E)3059-1309
1996, v.3 no.1, pp.95-101
Park, Ae-Young
Park,, A. (1996). , 3(1), 95-101.

Abstract

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

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Journal of the Korean Society of Mathematical Education Series B: Theoretical Mathematics and Pedagogical Mathematics

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