A NOTE ON CLASSICAL HILBERT INEQUALITY

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Published: Mar 1, 1995
DOI: https://doi.org/10.5556/j.tkjm.26.1995.4381
Keywords:
Inequality of Hilbert Holder inequality

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GOU-SHENG YANG
Department of Mathematics, Tamkang University, Tamsui, Taiwan 25137.
SHYH-LIANG GAU
Department of Mathematics, Tamkang University, Tamsui, Taiwan 25137.

Abstract




In this note we establish some new generalizations of the classical in­ equality of Hilbert with non-conjugate parameters.




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How to Cite
YANG, G.-S., & GAU, S.-L. (1995). A NOTE ON CLASSICAL HILBERT INEQUALITY. Tamkang Journal of Mathematics, 26(1), 81–96. https://doi.org/10.5556/j.tkjm.26.1995.4381
Issue
Vol. 26 No. 1 (1995)
Section
Papers
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References

F. F. Bonsall, "Inequalities with non-conjugate parameters," Quart. J. Math. Oxford Ser., (2) 2 (1951), 135-150.

G. H. Hardy, J. E. Littlewood, and G. Polya, Inequalities, Cambridge, 1934, and 1952.

D. S. Mitrinoric and J. E. Pecaric, "A note on an inequality with non-conJugate parameters , Sitzungsberichte der rnathem", -naturw. KL. Abt., II, 199. Band, 8·. -10. Heft (1990), 155-160.

V. Levin, "On the two-parameter extension and analogue of Hilbert's inequality," London Math. Soc., 11 (1936), 119-124.

S. B. Steckin, "On positive bilinear forms (Russian)," Dokl. Akad. Nauk., SSSR 65 (1949), Nr. 1, 17 - 20 .

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