On a more accurate half-discrete Hilbert's inequality
Department of Mathematics, Guangdong University of Education, Guangzhou, Guangdong 510303, People's Republic of China
Journal of Inequalities and Applications 2012, 2012:106 doi:10.1186/1029-242X-2012-106Published: 8 May 2012
By using the way of weight coefficients and the idea of introducing parameters and by means of Hadamard's inequality, we give a more accurate half-discrete Hilbert's inequality with a best constant factor. We also consider its best extension with parameters, the equivalent forms, the operator expressions as well as some reverses.
2000 Mathematics Subject Classification: 26D15; 47A07.