On new multiple extension of Hilbert's integral inequality

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

Abstrakty

EN

This paper gives a new multiple extension of Hilbert’s integral inequality generalizing many known results.

Słowa kluczowe

EN

inequalities; Hilbert inequality; Hölder inequality

• Wydawca: Polskie Towarzystwo Matematyczne
• Czasopismo: Annales Societatis Mathematicae Polonae. Seria 1: Commentationes Mathematicae
• Rocznik: 2006
• Tom: Vol. 46, [Z] 2
• Strony: 255--261
• 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] D. S. Mitrinovic, J. E. Pecaric and A. M. Fink, Inequalities involving functions and their integrals and derivatives, Kluwer Academic Publishers, Bosten 1991.
• [4] B. Yang, On Hardy-Hilbert's integral inequality, J. Math. Anal. Appl. 261 (2001), 295-306.
• [5] B. Yang, On a multiple Hardy- Hilbert's integral inequality, Chinese Annals of Math. 24A(6) (2003), 743-750.
• [6] B. Yang, On a new multiple extension of Hilbert's integral inequality, JIPAM 6(2)(39) (2005).