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The function inequalities and properties

Authors:	Feng Qi Sen-Lin Xu

Affiliation:	Department of Mathematics, Jiaozuo Institute of Technology, Jiaozuo City, Henan 454000, People's Republic of China ; Department of Mathematics, University of Sciences and Technology of China, Hefei City, Anhui 230026, People's Republic of China -

Abstract:	In the article, some properties and inequalities of the function $\int _{a}^{b}t^{x-1}\text{d}t$ are given by analytic method and the mathematical induction.

Keywords:	Absolutely monotonic completely monotonic absolutely convex regularly monotonic property inequality mathematical induction Tchebycheff integral inequality

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