Several extended analogues of Hilbert's inequalities

• Autorzy: Du H. , Miao Y.
• Języki publikacji: EN

Abstrakty

EN

By introducing the function [...] with real numbers alpha, beta, gamma we get several extended analogues of Hilbert's inequalities.

Słowa kluczowe

EN

Hilbert's inequalities

PL

nierówności Hilberta

• Wydawca: De Gruyter
• Czasopismo: Demonstratio Mathematica
• Rocznik: 2009
• Tom: Vol. 42, nr 2
• Strony: 297--302
• Opis fizyczny: Bibliogr. 7 poz.

Twórcy

autor

Du H.

autor

Miao Y.

• College of Mathematics and Information Science Henan Normal University Henan Province, 453007, China

Bibliografia

• [1] G. H. Hardy, J. E. Littlewood, G. Polya, Inequalities, Cambridge University Press, 1934.
• [2] B. He, Y. Qian, Y. Li On analogues of Hilbert’s inequalities, Comm. Math. Anal. 4 (2) (2008), 47-53.
• [3] Y. Li, J. Wu, B. He, A new Hilbert-type integral inequality and the equivalent form, Internat. J. Math. Math. Sci. 2006, Art. ID 45378, 6 pp.
• [4] D. S. Mitrinović, J. Pečarić, A. M. Fink, Inequalities Involving Functions and their Integrals and Derivatives, Kluwer Academic Publishers, Boston, 1991.
• [5] D. S. Mitrinović, J. Pečarić, A. M. Fink, Classical and New Inequalities in Analysis, Kluwer Academic Publishers, Dordrecht, 1993.
• [6] W. T. Sulaiman, Four inequalities similar to Hardy-Hilbert’s integral inequality, JIPAM. J. Inequal. Pure Appl. Math. 2006, 7(2), Article 76, 8 pp.
• [7] B. Yang, On the norm of an integral operator and applications, J. Math. Anal. Appl. 321 (2006), 182-192.