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On inequalities of Hilbert and Widder

Published online by Cambridge University Press:  20 January 2009

Dragoslav S. Mitrinović  and
Josip E. Pečarić
Dragoslav S. Mitrinović
Affiliation:
Smiljanićeva 3811000 BeogradYugoslavia
Josip E. Pečarić
Affiliation:
Faculty of TechnologyIve Lole Ribara 12641000 ZagrebYugoslavia
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Abstract

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A short proof of Chow's generalization of Widder's inequality and generalizations of some related Hardy's results are given.

Type
Research Article
Information
Proceedings of the Edinburgh Mathematical Society , Volume 34 , Issue 3 , October 1991 , pp. 411 - 414
Copyright
Copyright © Edinburgh Mathematical Society 1991

References

REFERENCES

1.Chow, Y. C., On inequalities of Hilbert and Widder, J. London Math Soc. 14 (1939), 151–154.Google Scholar
2.Hardy, G. H., Remarks in addition to Dr Widder's note on inequalities, J. London Math. Soc. 4 (1929), 199–202.CrossRefGoogle Scholar
3.Hardy, G. H., Littlewood, J. E. and Polya, G., Inequalities (Cambridge, 1934).Google Scholar
4.Widder, D. V., An inequality related to one of Hilbert's, J. London Math. Soc. 4 (1929), 194–198.Google Scholar