A half-discrete Hilbert-type inequality with the non-monotone kernel and the best constant factor

作者：Xin Dongmei^*; Yang Bicheng

来源：JOURNAL OF INEQUALITIES AND APPLICATIONS, 2012, 2012(1): 184.

DOI：10.1186/1029-242X-2012-184

• Hilbert-type inequality
• conjugate exponent
• Holder's inequality
• best constant factor
• equivalent form

By introducing two pairs of conjugate exponents and using the improved Euler-Maclaurin summation formula, we estimate the weight functions and obtain a half-discrete Hilbert-type inequality with the non-monotone kernel and the best constant factor. We also consider its equivalent forms.

• 出版日期2012