On the extended Hilbert’s inequality
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- by Gao Mingzhe and Yang Bichen PDF
- Proc. Amer. Math. Soc. 126 (1998), 751-759 Request permission
Abstract:
In this paper, it is shown that the extended Hilbert’s inequality for double series can be refined by the aid of the Euler-Maclaurin summation formula. The extreme cases $p\rightarrow 1^+$ and $q\rightarrow +\infty$ are discussed.References
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Additional Information
- Gao Mingzhe
- Affiliation: Department of Mathematics, Xiangxi Education College for Nationalities, Jishou, Hunan 416000, People’s Republic of China
- Yang Bichen
- Affiliation: Department of Mathematics, Guangdong College of Education, Guangzhou 510303, People’s Republic of China
- Received by editor(s): December 6, 1995
- Received by editor(s) in revised form: August 29, 1996
- Communicated by: J. Marshall Ash
- © Copyright 1998 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 126 (1998), 751-759
- MSC (1991): Primary 26D15
- DOI: https://doi.org/10.1090/S0002-9939-98-04444-X
- MathSciNet review: 1459122