On Generalizations of Two New Type Hilbert Integral Inequalities
Xiaoyan Li, Binwu He, Chang-Jian Zhao, Gangsong Leng
Abstract
Xiaoyan Li, Binwu He, Chang-Jian Zhao, Gangsong Leng
Abstract
In 1998, two new inequalities similar to Hilbert integral inequality were given by B.G.Pachpatte. The main purpose of the present article is to generalize these two new inequalities by Holder integral inequality, Tchebychef integral inequality and Jensen inequality.
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In 1998, two new inequalities similar to Hilbert integral inequality were given by B.G.Pachpatte. The main purpose of the present article is to generalize these two new inequalities by Holder integral inequality, Tchebychef integral inequality and Jensen inequality.
Key concepts: Mathematics, Inequality, Hölder's inequality, Kantorovich inequality, Log sum inequality, Rearrangement inequality, Type (biology), Pure mathematics