Some remarks on Hilbert's integral inequality

Authors

  • Lj. Marangunić University of Zagreb, Croatia
  • J. Pečarić University of Zagreb, Croatia

DOI:

https://doi.org/10.33993/jnaat341-793

Keywords:

Hilbert's inequality, Hölder's inequality, Beta function
Abstract views: 206

Abstract

A generalization of the well-known Hilbert's inequality is given. Several other results of this type obtained in recent years follow as a special case of our result.

Downloads

Download data is not yet available.

References

Gavrea, I., Some Remarks on Hilbert's Integral Inequality, Mathematical Inequalities & Applications, 3, pp. 473-477, 2002, https://doi.org/10.7153/mia-05-46 DOI: https://doi.org/10.7153/mia-05-46

Brnetić, I. and Pečarić, J., Generalizations of inequalities of Hardy-Hilbert type, Mathematical Inequalities & Applications, 7, no. 2, pp. 217-225, 2004, https://doi.org/10.7153/mia-07-24 DOI: https://doi.org/10.7153/mia-07-24

Downloads

Published

2005-02-01

How to Cite

Marangunić, L., & Pečarić, J. (2005). Some remarks on Hilbert’s integral inequality. Rev. Anal. Numér. Théor. Approx., 34(1), 71–78. https://doi.org/10.33993/jnaat341-793

Issue

Vol. 34 No. 1 (2005)

Section

Articles

License

Copyright (c) 2015 Journal of Numerical Analysis and Approximation Theory

Creative Commons License

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

Open Access. This article is distributed under the terms of the Creative Commons Attribution 4.0 International License, which permits unrestricted use, distribution, and reproduction in any medium, provided you give appropriate credit to the original author(s) and the source, provide a link to the Creative Commons license, and indicate if changes were made.