A more accurate half-discrete reverse Hilbert-type inequality with a non-homogeneous kernel

作者：Yang, Bicheng^*; Chen, Qiang

来源：JOURNAL OF INEQUALITIES AND APPLICATIONS, 2014, 2014(1): 96.

DOI：10.1186/1029-242X-2014-96

• Hilbert-type inequality
• weight function
• equivalent form
• reverse
• dual form

By means of weight functions and the improved Euler-Maclaurin summation formula, a more accurate half-discrete reverse Hilbert-type inequality with the kernel (min{1,(x-gamma)(n-eta)})(beta)/ (max{1,(x-gamma)(n-eta)})(alpha) and a best constant factor is given. Some equivalent forms, the dual forms as well as some related homogeneous cases, are also considered.

• 出版日期2014-2-25
• 单位广东第二师范学院