关键词: Hilbert型积分不等式, 积分恒等式,  赋范线性空间

Abstract:

In this paper we employ a new technique based on an integral identity to study some new Hilbert-type integral inequalities in normed linear spaces. These new results include the corresponding multiple Hilbert-type integral inequalities in Rⁿ as special cases.

Key words: Hilbert integral inequality, Integral identity, Normed linear space