Some New Inverse-type Hilbert-Pachpatte Integral Inequalities 被引量：1

导出

摘要 In this paper, some new generalizations of inverse type Hilbert-Pachpatte integral inequalities are proved. The results of this paper reduce to those of Pachpatte (1998, J. Math. Anal. Appl. 226, 166–179) and Zhao and Debnath (2001, J. Math. Anal. Appl. 262, 411–418). In this paper, some new generalizations of inverse type Hilbert-Pachpatte integral inequalities are proved. The results of this paper reduce to those of Pachpatte (1998, J. Math. Anal. Appl. 226, 166–179) and Zhao and Debnath (2001, J. Math. Anal. Appl. 262, 411–418).

作者 Young Ho KIM

机构地区 Department of Applied Mathematics

出处《Acta Mathematica Sinica,English Series》 SCIE CSCD 2004年第1期57-62,共6页 数学学报（英文版）

关键词 Hilbert’s double integral inequality H(?)lder integral inequality Jensen’s inequality Power mean inequality

分类号 O178 [理学—基础数学]

引文网络
相关文献

参考文献10

1Hardy, G. H., Littlewood, J. E., Polya, G.: Inequalities, Cambridge Univ. Press, London, 1952.
2vKim, Y. H.: An improvement of some inequalities similar to Hilbert's inequality. Inter'nat. J. Math. Math.Sci., 28, 211-221 (2001).
3Mingze, G.: On Hilbert's inequality and its applications. J. Math. Anal. Appl., 212, 316-323 (1997).
4Mitrinovic D. S., Pecaric, J. E.: On inequalities of Hilbert and Widder. Proc. "Edinburgh Math. Soc., 34,411-414 (1991).
5Pachpatte, B. G.: A note on some series inequalities. Tamkanq d. Math., 27, 77-79 (1996).
6Pachpatte, B. G.: On some new inequalities similar to Hilbert's inequality, J. Math.,Anal. Appl., 226166-179 (1998).
7Zhao, C. J., Debnath, L.: Some new inverse type Hilbert integral inequalities. J. Math. Anal. Appl., 262,411-418 (2001).
8Beckenbach, E. F., Bellman, R.: Inequalities, Springer-Verlag, Berlin, New York, 1961.
9Kim, Y. H.: Refinements and extensions of an inequality, J.Math. Anal. ADDl., 245. 628-632 (2000).
10Mitrinovid, D. S.: Analytic Inequalities, Springer-Verlag, Berlin, New York, 1970.

引证文献1

1黄裕建.Pachpatte离散不等式的一个推广[J].重庆师范大学学报（自然科学版）,2013,30(4):98-102. 被引量：1

二级引证文献1

1黄春妙,王五生.一类含有求最大运算的非线性时滞Volterra-Fredholm型积分不等式[J].四川师范大学学报（自然科学版）,2016,39(3):382-387. 被引量：3

1杨必成.A Note on HilbertsIntegral Inequalities[J].Chinese Quarterly Journal of Mathematics,1998,13(4):83-86. 被引量：50
2孔庆凯,张炳根.SOME GENERALIZATION OF GRONWALLBIHARI INTEGRAL INEQUALITIES[J].Chinese Science Bulletin,1987,32(19):1364-1365.
3CHEN Wei,LIU PeiDe.Weighted integral inequalities in Orlicz martingale classes[J].Science China Mathematics,2011,54(6):1215-1224. 被引量：6
4Jing Shao1,2, Fanwei Meng2 (1. Dept. of Math., Jining University, Qufu 273155, Shandong,2. Dept. of Math., Qufu Normal University, Qufu 273165, Shandong).ON SOME RETARDED INTEGRAL INEQUALITIES AND APPLICATIONS[J].Annals of Differential Equations,2010,26(3):314-321. 被引量：1
5Xuan Zhu,Run Xu.INTEGRAL INEQUALITIES IN TWO INDEPENDENT VARIABLES AND THEIR APPLICATIONS[J].Annals of Differential Equations,2013,29(4):493-501.
6孔庆凯,张炳根.SOME GENERALIZATION OF GRONWALL-BIHARI INTEGRAL INEQUALITIES AND THEIR APPLICATIONS[J].Chinese Annals of Mathematics,Series B,1989,10(3):371-385.
7冷拓,冯勇.On Hardy-type integral inequalities[J].Applied Mathematics and Mechanics(English Edition),2013,34(10):1297-1304.
8杨恩浩.SOME INTEGRAL INEQUALITIES IN N INDEPENDENT VARIABLES[J].Acta Mathematicae Applicatae Sinica,1994,10(2):158-168.
9吴述金,郭小林.Improvements of Difference Inequalities and Integral Inequalities[J].Journal of Shanghai Jiaotong university(Science),2003,8(1):103-106.
10Abdullah Mir,Sajad Amin Baba.SOME INTEGRAL INEQUALITIES FOR THE POLAR DERIVATIVE OF A POLYNOMIAL[J].Analysis in Theory and Applications,2011,27(4):340-350.

Acta Mathematica Sinica,English Series

2004年第1期

浏览历史

内容加载中请稍等...

Some New Inverse-type Hilbert-Pachpatte Integral Inequalities 被引量：1

参考文献10

引证文献1

二级引证文献1

相关作者

相关机构

相关主题

浏览历史