A New Multiple Half-Discrete Hilbert-Type Inequality with Parameters and a Best Possible Constant Factor

• DOI: 10.1007/s00009-014-0468-0
• Publication Date: 2014-09-15T10:42:29Z
• Authors: Bing He; Bicheng Yang; Qiang Chen
• Keywords: Constant (computer programming); Weight function; Operator (biology)

Using the proper parameters and the way of weight functions, a new multiple half-discrete Hilbert-type inequality with a best constant factor is given. The operator expressions, equivalent forms, reverse inequalities and particular cases are considered.