A study On some new types of Hardy-Hilbert's integral inequalities

Waad T. Sulaiman

doi:10.15352/bjma/1240336268

2008 A study On some new types of Hardy-Hilbert's integral inequalities

Waad T. Sulaiman

Banach J. Math. Anal. 2(1): 16-20 (2008). DOI: 10.15352/bjma/1240336268

Abstract

Some new kinds of Hardy-Hilbert's integral inequality in which the weight function is homogeneous function are given. Other results are also obtained.

References

1.

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

2.

G. H. Hardy, J. E. Littlewood and G. Polya, Inequalities, Cambridge University Press, Cambridge, 1952. MR46395G. H. Hardy, J. E. Littlewood and G. Polya, Inequalities, Cambridge University Press, Cambridge, 1952. MR46395

3.

D. S. Mitrinovic, J. E. Pecaric and A. M. Fink, Inequalities involving functions and their integrals and derivatives, Kluwer Academic Publishers, Bosten, 1991. MR1190927D. S. Mitrinovic, J. E. Pecaric and A. M. Fink, Inequalities involving functions and their integrals and derivatives, Kluwer Academic Publishers, Bosten, 1991. MR1190927

4.

B. Yang, On Hardy–Hilbert's integral inequality, J. Math. Anal. Appl. 261 (2001), 295–306. MR1850975 10.1006/jmaa.2001.7525 0989.26012B. Yang, On Hardy–Hilbert's integral inequality, J. Math. Anal. Appl. 261 (2001), 295–306. MR1850975 10.1006/jmaa.2001.7525 0989.26012

Citation Download Citation

Waad T. Sulaiman "A study On some new types of Hardy-Hilbert's integral inequalities," Banach Journal of Mathematical Analysis 2(1), 16-20, (2008). https://doi.org/10.15352/bjma/1240336268

Published: 2008

Access the abstract

JOURNAL ARTICLE
5 PAGES

DOWNLOAD PDF + SAVE TO MY LIBRARY