On new multiple extension of Hilbert's integral inequality (2)

• Autorzy: Sulaiman W.T.
• Języki publikacji: EN

Abstrakty

EN

Via laplace transformation some new generalization of Hardy-Hilbert's integral inequality is given.

Słowa kluczowe

EN

inequalities; Hilbert inequality; Hölder inequality

• Wydawca: Polskie Towarzystwo Matematyczne
• Czasopismo: Annales Societatis Mathematicae Polonae. Seria 1: Commentationes Mathematicae
• Rocznik: 2007
• Tom: Vol. 47, [Z] 1
• Strony: 23--29
• Opis fizyczny: bibliogr. 6 poz.

Twórcy

autor

Sulaiman W.T.

• Department of mathematics, College of Computer Sciences and Mathematics, University of Mosul, Mosul, Iraq,

Bibliografia

• [1] G. H. Hardy, Note on a theorem of Hilbert concerning series of positive terms, Proc. Math. Soc. 23(2) (1925), Records of Proc. XLV-XLVI.
• [2] G. H. Hardy, J. E. Littlewood and G. Polya, Inequalities, Cambridge University Press, Cambidge 1952.
• [3] G. H. Hardy, J. E. Littlewood and G. Polya, Inequalities (Second Edition), Cambridge University Press, Cambidge 1952.
• [4] D. S. Mitrinovic, J. E. Pecaric and A. M. Fink, Inequalities involving functions and their integrals and derivatives, Kluwer Academic Publishers, Boston 1991.
• [5] T. C. Peachey, Some integral inequalities related to Hilbert's, Journal of Inequalities in Pure and Applied Mathematics, Volume 4, Issue 1, Article 19, 2003.
• [6] B. Yang, On Hardy-Hilbert's integral inequality, J. Math. Anal. Appl. 261 (2001), 295-306.