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Some new inverse type Hilbert integral inequalities. (English) Zbl 0988.26014
Authors’ summary: “Some new generalizations of Hilbert’s type integral inequalities are proved. The results of this paper reduce to those of {\it B. G. Pachpatte} [J. Math. Anal. Appl. 226, No. 1, 166-179 (1998; Zbl 0911.26012)]”.

##### MSC:
 26D15 Inequalities for sums, series and integrals of real functions
Full Text:
##### References:
 [1] Pachpatte, B. G.: On some new inequalities similar to Hilbert’s inequality. J. math. Anal. appl. 226, 166-179 (1998) · Zbl 0911.26012 [2] Gao, Minzhe: On Hilbert inequality and its applications. J. math. Anal. appl. 212, 316-323 (1997) · Zbl 0890.26011 [3] Hu, Ke: On Hilbert inequality and its applications. Adv. math. 22, 160-163 (1993) · Zbl 0782.26008 [4] Yang, Bicheng; Debnath, L.: Generalizations of Hardy integral inequalities. Internat. J. Math. math. Sci. 22, 535-542 (1999) · Zbl 0971.26012 [5] Chang-jian, Zhao, Generalization on two new Hilbert type inequalities, J. Math. (PRC), in press. [6] Zhao, Chang-Jian: The extension and strength of Yang le inequality. Math. practice theory 30 (2000) [7] Zhao, Chang-Jian: On extension of some new inequalities similar to Hilbert’s inequality. J. math. Technology 16, 99-102 (2000) [8] Hardy, G. H.; Littlewood, J. E.; Polya, G.: Inequalities. (1952) · Zbl 0047.05302