Open Access
2006 INVERSES OF SOME NEW INEQUALITIES SIMILAR TO HILBERT’S INEQUALITIES
Zhao Changjian, Josip Pecarić, Leng Gangsong
Taiwanese J. Math. 10(3): 699-712 (2006). DOI: 10.11650/twjm/1500403856

Abstract

In the present paper we first establish inverse versions of some new inequalities similar to Hilbert’s inequality involving series of nonnegative terms. Then, the integral analogues of our main results are also given. Our Theorems provide new estimates on these types of inequalities.

Citation

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Zhao Changjian. Josip Pecarić. Leng Gangsong. "INVERSES OF SOME NEW INEQUALITIES SIMILAR TO HILBERT’S INEQUALITIES." Taiwanese J. Math. 10 (3) 699 - 712, 2006. https://doi.org/10.11650/twjm/1500403856

Information

Published: 2006
First available in Project Euclid: 18 July 2017

zbMATH: 1105.26018
MathSciNet: MR2206323
Digital Object Identifier: 10.11650/twjm/1500403856

Subjects:
Primary: 26D15

Keywords: Hilbert's inequality , Hölder integral inequality , Jensen's inequality

Rights: Copyright © 2006 The Mathematical Society of the Republic of China

Vol.10 • No. 3 • 2006
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