| [1] Weyl H. Singulare integral Gleichungenn mit besonderer Berucksichtigung des Fourierschen integral theorems[M]. Gottingen: Inaugeral-Dissertation,1908.[2] Hardy G H. Note on a theorem of Hilbert concerning series of positive term[J]. Proc London Math Soc, 1925,23:45-46.[3] Hardy G H, Littlewood J E, Polya G. Inequalities[M]. Cambridge: Cambridge Univ Press, 1952.[4] Mitrinovic D S,Pecaric J E,Fink A M. Inequalities involving functions and their integrals and derivertives[M]. Boston:Kluwer Academic Publishers, 1991.[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. A survey of the study of Hilbert-tpye inequalities with parameters[J]. Advances in Mathematics, 2009, 38(3):257-258(in Chinese).[7] Zhong W Y, Yang B C. On multiple's Hardy-Hilbert integral inequality with kernel[J]. Journal of Inequalities and Applications, 2007:27 962.[8] Liu Q,Sun W B. A Hilbert-type integral inequality with the mixed kernel of multi-parameters[J]. C R Acad Sci 1,2013, 351:605-611.[9] Liu Q, Long S C. A Hilbert-type integral inequality with the kernel of hyperbolic cosecant function[J]. Acta Mathematics Sinica:Chinese Series, 2013, 56(1):97-104(in Chinese).[10] Yang B C. Hilbert-type integral inequality with non-homogeneous kernel[J]. Journal of Shanghai University:Natural Science, 2011, 17(5):603-605(in Chinese).[11] Shu B, Chen D L. Complex-variable function and integral transform[M]. Beijing: Higher Education Press, 2003.[12] Kuang J C. Introduction to real analysis[M]. Changsha:Hunan Edueation Press, 1996.[13] Kuang J C. Applied inequalities[M]. 3rd ed. Jinan:Shandong Science and Technology Press, 2004. |
