Another Hardy-Hilbert’s Integral Inequality

W. T. Sulaiman

doi:10.5644/SJM.05.1.02

Authors

W. T. Sulaiman Department of Computer Engineering, College of Engineering, University of Mosul, Iraq

DOI:

https://doi.org/10.5644/SJM.05.1.02

Keywords:

Hardy-Hilbert's inequality, Holder's inequality, homogeneous function, beta function

Abstract

We give a new kind of Hardy-Hilbert integral inequality via homogeneous functions as well as some other generalizations. Special cases are also obtained.

2000 Mathematics Subject Classification. 26D15

Statistics

Abstract: 39 / PDF: 12

References

G. H. Hardy, Note on a theorem of Hilbert corcerning series of positive terms, Proc. Math. Soc., 23 (2) (1925), Records of Proc. XLV-XLVI.

G. H. Hardy, J. E. Littlewood and G. Polya, Inequalities, Cambridge Univ. Press, Cambridge, (1952).

D. S. Mitrinovi´c, J. E. Peˇcari´c and A. M. Fink, Inequalities involving functions and their integrals and derivatives, Kluwer Academic Publishers, Boston, (1991).

B. Yang, On Hardy-Hilbert’s integral inequality, J. Math. Anal. Appl., 261 (2001), 295-306.