[1] Hardy G H, Littlewood J E, Pólya G. Inequalities[M]. Cambridge:Cambridge Univ Press, 1952.
[2] Mintrinovi? D S, Pe?ari? J E, Kink A M. Inequalities involving functions and their integrals and derivertives[M]. Boston:Kluwer Academic Publishers, 1991.
[3] Carleman T. Sur les equations integrals singulieres a noyau real et symetrique[M]. Uppsala:Uppsala Univ Arsskrift,1923.
[4] Yang B C. On the norm of an integral operator and applications[J]. J Math Anal Appl, 2006, 321:182-192.
[5] Yang B C. On the norm of a Hilbert's type linear operator and applications[J].J Math Anal Appl, 2007, 325:529-541.
[6] Yang B C. On the norm of a certain self-adjoint integral operator and applications to bilinear integral inequalities[J]. Taiwanese Journal of Mathematics, 2008, 12(2):315-324.
[7] Yang B C, Rassias T M. On a Hilbert-type integral inequality in the subinterval and its operator expression[J]. Banach Journal of Mathematical and Analysis, 2010, 4(2):100-110.
[8] Yang B C. A new Hilbert-type operator and applications[J]. Publ Math Debrecen, 2010, 76(1/2):147-156.
[9] Yang B C. The norm of operator and Hilbert-type inequalities[M]. Beijing:Science Press, 2009(in Chinese).
[10] Huang Z S, Guo D R. An intruction to special function[M]. Beijing:Peking University Press, 2000(in Chinese).
[11] Kuang J C. Applied inequalities[M]. Jinan:Shandong Science and Technology Press, 2004(in Chinese).
[12] Kuang J C. Introduction to real analysis[M]. Changsha:Hunan Education Press, 1996(in Chinese).
[13] Taylor A E, Lay D C. Introduction to functional analysis[M]. New York:John Wiley and Sone, 1979. |