References
- Hardy GH . Note on a theorem of Hilbert concerning series of positive terms. Proc London Math Soc. 1925;23(2). Records of Proc. xlv--xlvi.
- Hardy GH , Littlewood JE , Pólya G . Inequalities. Cambridge: Cambridge University Press; 1934.
- Yang BC . A half-discrete Hilbert’s inequality. J Guangdong Univ Educ. 2011;31(3):1–7.
- Mitrinović DS , Pecčarić JE , Fink AM . Inequalities involving functions and their integrals and deivatives. Boston: Kluwer Academic; 1991.
- Yang BC . The norm of operator and Hilbert-type inequalities. Beijing: Science Press; 2009.
- Yang BC , Debnath L . Half-discrete Hilbert-type inequalitiea. Singapore: World Scientific Publishing; 2014.
- Yang BC . A survey of the study of Hilbert-type inequalities with parameters. Adv Math. 2009;38(3):257–268.
- Yang BC . On the norm of an integral operator and applications. J Math Anal Appl. 2006;321:182–192.
- Xu JS . Hardy--Hilbert’s inequalities with two parameters. Adv Math. 2007;36(2):63–76.
- Xin DM . A Hilbert-type integral inequality with the homogeneous kernel of zero degree. Math Theory Appl. 2010;30(2):70–74.
- Yang BC . A Hilbert-type integral inequality with the homogenous kernel of degree 0. J Shandong Univ (Nat Sci). 2010;45(2):103–106.
- Debnath L , Yang BC . Recent developments of Hilbert-type discrete and integral inequalities with applications. Int J Math Math Sci. 2011;2012.
- Milovanovic GV , Rassias MTh . Some properties of a hypergeometric function which appear in an approximation problem. J Global Optim. 2013;57:1173–1192.
- Rassias MTh , Yang BC . On half-discrete Hilbert’s inequality. Appl Math Comput. 2013;220:75–93.
- Rassias MTh , Yang BC . A multidimensional half - discrete Hilbert - type inequality and the Riemann zeta function. Appl Math Comput. 2013;225:263–277.
- Rassias MTh , Yang BC . On a multidimensional half - discrete Hilbert - type inequality related to the hyperbolic cotangent function. Appl Math Comput. 2014;242:800–813.
- Yang BC . A new Hilbert-type integral inequality. Soochow J Math. 2007;33(4):849–859.
- Yang BC . A new Hilbert-type integral inequality with some parameters. J Jilin Univ (Sci Ed). 2008;46(6):1085–1090.
- He B , Yang BC . On a Hilbert-type integral inequality with the homogeneous kernel of 0-degree and the hypergeometrc function. Math Pract Theory. 2010;40(18):203–211.
- Zeng ZZ , Xie ZT . On a new Hilbert-type integral inequality with the homogeneous kernel of degree 0 and the integral in whole plane. J Inequal Appl. 2010;2010.
- Wang AZ , Yang BC . A new Hilbert-type integral inequality in whole plane with the non-homogeneous kernel. J Inequal Appl. 2011;2011:123.
- Xin DM , Yang BC . A Hilbert-type integral inequality in whole plane with the homogeneous kernel of degree -2. J Inequal Appl. 2011;2011.
- Huang QL , Wu SH , Yang BC . Parameterized Hilbert-type integral inequalities in the whole plane. Sci World J. 2014;2014.
- Zeng Z , Gandhi KRR , Xie ZT . A new Hilbert-type inequality with the homogeneous kernel of degree -2 and with the integral. Bull Math Sci Appl. 2014;3(1):11–20.
- Rassias MTh , Yang BC . A Hilbert - type integral inequality in the whole plane related to the hyper geometric function and the beta function. J Math Anal Appl. 2015;428(2):1286–1308.
- Gu ZH , Yang BC . A Hilbert-type integral inequality in the whole plane with a non-homogeneous kernel and a few parameters. J Inequal Appl. 2015;2015:314.
- Xin DM , Yang BC , Chen Q . A discrete Hilbert-type inequality in the whole plane. J Inequal Appl. 2016;2016:133.
- Kuang JC . Real and functional analysis (Continuation). Vol. 2. Beijing: Higher Education Press; 2015.
- Kuang JC . Applied inequalities. Jinan: Shangdong Science and Technology Press; 2004.