Extension on Hardy-Hilbert's integral inequality and its applications

• Autorzy: Sulaiman W.
• Języki publikacji: EN

Abstrakty

EN

In this paper, by introducing some parameters, new forms of Hardy-Hilbert's inequalities are given.

Słowa kluczowe

EN

inequalities; Hardy-Hilberts' inequality

PL

nierówności; nierówności Hardy-Hilberts'a

• Wydawca: De Gruyter
• Czasopismo: Demonstratio Mathematica
• Rocznik: 2006
• Tom: Vol. 39, nr 2
• Strony: 401--410
• Opis fizyczny: Bibliogr. 9 poz.

Twórcy

autor

Sulaiman W.

• Department of Mathematics, College of Computer Science and Mathematics, Mosul University, Mosul, IraQ,

Bibliografia

• [1] G. H. Hardy, J. E. Littlewood, G. Pólya, Inequalities, Cambridge Univ. Press, Cambridge, 1952.
• [2] L. He, M. Gao, W. Jia, On Hardy-Hilbert's integral inequality with parameters, J. Ineq. Pure Appl. Math., http://jipam.vu.edu.au, vol. 4 issue 5 article 94, 2003.
• [3] K. Hu, On Hilbert's inequality, Chinese Ann. Math. 13B, No. 1 (1992), 35-39.
• [4] M. Gao, T. Li, L. Debnath, Some improvements on Hilbert's intergal inequality, J. Math. Anal. Appl. 229 (1999), 682-689.
• [5] M. Gao, A note on Hilbert double series theorem, Hunan Ann. Math. 12, Nos. 1-2 (1992), 142-147.
• [6] W. T. Sulaiman, On Hardy-Hilbert's integral inequality, J. Ineq. Pure Appl. Math., vol. 5, issue 2 article 25, 2004.
• [7] B. Yang, On Hilbert's integral inequality, J. Math. Anal. Appl. 220 (1998), 778-785.
• [8] B. Yang, On Hilbert's integral inequality, J. Math. Anal. Appl. 261 (2001), 295-306.
• [9] B. Yang and L. Debnath, On the extended Hardy-Hilbert's inequality, J. Math. Anal. Appl. 272 (2002), 187-199.