关键词: 权函数, 扩展&zeta, Hilbert型积分不等式, 最佳常数因子, 函数

Abstract: By using the way of weight function and the real analysis technique, and introducing the extended ζfunction to describe the constant factor, the author obtained a multiparameters Hilberttype integral inequality and its equivalent formula, and discussed the problem of their optimal values.

Key words: weight function, extended ζfunction, Hilberttype integral inequality, the best constant factor