The function $(b^x-a^x)/x$: Inequalities and properties
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- by Feng Qi and Sen-Lin Xu
- Proc. Amer. Math. Soc. 126 (1998), 3355-3359
- DOI: https://doi.org/10.1090/S0002-9939-98-04442-6
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Abstract:
In the article, some properties and inequalities of the function $\int _{a}^{b}t^{x-1}\text {d}t$ are given by analytic method and the mathematical induction.References
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Bibliographic Information
- Feng Qi
- Affiliation: Department of Mathematics, Jiaozuo Institute of Technology, Jiaozuo City, Henan 454000, People’s Republic of China
- MR Author ID: 610520
- ORCID: 0000-0001-6239-2968
- Email: qifeng@math.ustc.edu.cn, qifeng@jzit.edu.cn
- Sen-Lin Xu
- Affiliation: Department of Mathematics, Jiaozuo Institute of Technology, Jiaozuo City, Henan 454000, People’s Republic of China; Department of Mathematics, University of Sciences and Technology of China, Hefei City, Anhui 230026, People’s Republic of China
- Received by editor(s): July 17, 1996
- Received by editor(s) in revised form: April 8, 1997
- Additional Notes: The first author was partially supported by NSF grant 974050400 of Henan Province, People’s Republic of China.
- Communicated by: J. Marshall Ash
- © Copyright 1998 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 126 (1998), 3355-3359
- MSC (1991): Primary 26A48; Secondary 26D07
- DOI: https://doi.org/10.1090/S0002-9939-98-04442-6
- MathSciNet review: 1459146