INEQUALITIES SIMILAR TO THE INTEGRAL ANALOGUE OF HILBERT'S INEQUALITY

Article Sidebar

PDF
Published: Jun 1, 1999
DOI: https://doi.org/10.5556/j.tkjm.30.1999.4220
Keywords:
Hilbert's inequality integral analogue Hilbert's double series theorem Schwarz inequality

Main Article Content

B. G. PACHPATTE
Department of Mathematics, Marathwada University, Aurangabad 431 004, (Maharashtra) India.

Abstract




In the present paper we establish some new inequalities similar to the integral ana­logue of Hilbert's inequality by using a fairly elementary analysis.




Article Details

How to Cite
PACHPATTE, B. G. . (1999). INEQUALITIES SIMILAR TO THE INTEGRAL ANALOGUE OF HILBERT’S INEQUALITY. Tamkang Journal of Mathematics, 30(2), 139–146. https://doi.org/10.5556/j.tkjm.30.1999.4220
Issue
Vol. 30 No. 2 (1999)
Section
Papers
Creative Commons License

This work is licensed under a Creative Commons Attribution-NonCommercial-ShareAlike 4.0 International License.

References

Yang Bicheng, On Hilbert's integral inequality, J. Math Anal. Appl. 220(1998), 778-785.

Y. C. Chow, On inequalities of Hilbert and Widder, J. London Math. Soc. 14(1939), 151-154.

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

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

G. Mingze, An improvement of hardy-Riesz's extension of the Hilbert inequality, J. Math. Res. Exposition 14(1994), 255-259.

G. Mingze, On Hilbert's inequality and its applications, J. Math. Anal. Appl. 212(1997), 316-323.

D. S. Mitrinovic and J. E. Pecaric, On inequalities of Hilbert and Widder, Proc. Edinburgh Math. Soc. 34(1991), 411-414.

B. G. Pachpatte, On some new inequalities similar to Hilbert's inequality, J. Math. Anal. Appl. 224(1998), to appear.

B. G. Pachpatte, A note on an inequality of Hilbert type, Demonstratio Math. 32(1999), to appear.

B. G. Pachpatte, A note on Hilbert type inequality, Tamkang J. Math. 29(1998), to appear.

B. G. Pachpatte, On an inequality similar to Hilbert's inequality, Bull. Inst. Polyt. Iasi Math., to appear.

D. V. Widder, An inequality related to 194-198. one of Hilbert's, J. London Math. Soc. 4(1929), 194-198.