Zeitschrift für Analysis und ihre AnwendungenVol. 18, No. 3, pp. 793-799 (1999)
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Zeitschrift für Analysis und ihre Anwendungen Vol. 18, No. 3, pp. 793-799 (1999) |
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Some Inequalities of the Incomplete Gamma and Related FunctionsFeng Qi and Jia-Qiang MeiFeng Qi: Jiaozuo Inst. Techn., Dept. Math., Jiaozuo City, Henan 454000, China; \ e-mail: qifeng@jzit.edu.cn.; Jia-Qiang Mei: Univ. Sci. & Techn. of China, Dept. Math., Hefei City, Anhui 230026, ChinaAbstract: In the article, many inequalities of the integrals $$ \int_x^\infty {\rm e}^{-t^p}dt, \qquad \int_0^x {\rm e}^{-t^p}dt, \qquad \int_0^x {\rm e}^{t^p}dt $$ for $p > 0$, which are related to the incomplete gamma function, are established. The approach used in the paper could yield more particular inequalities of the above functions. Some known results are generalized, extended or refined. Keywords: inequalities, incomplete gamma function, complementary error function Classification (MSC2000): 33B20, 26D07, 26D15 Full text of the article:
Electronic fulltext finalized on: 7 Aug 2001. This page was last modified: 9 Nov 2001.
© 2001 Heldermann Verlag
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