HARDY G H, LITTLEWOOD J E, POLYA G. Inequalities[M]. Cambridge:Cambridge University Press, 1952.
洪勇. Hardy-Hilbert积分不等式的全方位推广[J].数学学报, 2001, 44(4):619-626. doi: 10.3321/j.issn:0583-1431.2001.04.007
YANG B C. On a Hilbert-Hardy-Type Integral Operator and Application[J]. J Ineq Appl, 2010, 2010:1-10.
ZHAO C J, DEBNATH L. Some New Inverse Type Hilbert Integral Inequalities[J]. J Math Anal Appl, 2001, 262(1):411-418.
和炳, 杨必成.一个核带超几何函数的0次齐次的Hilbert型积分不等式[J].数学的实践与认识, 2010, 40(18):203-211.
洪勇.涉及多个函数的Hardy型积分不等式[J].数学学报, 2006, 49(1):39-44.
匡继昌.常用不等式[M].济南:山东科学技术出版社, 2004.
YANG B C. On the Norm of a Hilbert's Type Linear Operator and Applications[J]. J Math Anal Appl, 2007, 325(1):529-541.
胡克.解析不等式的若干问题[M].武汉:武汉大学出版社, 2007.
ČIŽMESIJA A, KRNIČ M, PEČARIC J. General Hilbert-Type Inequalities with Non-Conjugate Exponents[J]. Math Inequal Appl, 2008(2):237-269.
BMETĆ I, PEČARIĆ J. Generalization of Hilbert's Integral Inequality[J]. Mathematical Inequalities and Applications, 2004(2):199-205. doi: 10.7153/mia-07-22
吕中学, 谢鸿政.关于Hilbert积分不等式新的改进和推广[J].数学进展, 2003, 32(4):419-424.
杨必成, 陈强.一个较为精确的半离散非齐次核的Hilbert不等式[J].西南师范大学学报(自然科学版), 2013, 38(8):29-34. doi: 10.3969/j.issn.1000-5471.2013.08.008
杨必成, 陈强.一个核为双曲正割函数的半离散Hilbert型不等式[J].西南师范大学学报(自然科学版), 2015, 40(2):26-32.
洪勇.一类带齐次核的奇异重积分算子的范数及其应用[J].数学年刊(A辑), 2011, 32(5):599-606.
洪勇.带对称齐次核的级数算子的范数刻画及其应用[J].数学学报, 2008, 51(2):365-370.
杨必成.参量化的Hilbert型不等式研究综述[J].数学进展, 2009, 38(3):257-268. doi: 10.11845/sxjz.2009.38.03.0257
KTNIĆ M, GAO M Z, PECĂRIČ J, et al. On the Best Constant in Hilbert's Inequality[J]. Math Inequal Appl, 2005(2):317-329.
YANG B C, KRNIĆ M. Hilbert-Type Inequalities and Related Operators with Homogeneous Kernel of Degree 0[J]. Mathematical Inequalities and Applications, 2010(4):817-839. doi: 10.7153/mia-13-59
杨必成.算子范数与Hilbert型不等式[M].北京:科学出版社, 2009.