The function (𝑏^{𝑥}-𝑎^{𝑥})/𝑥: Inequalities and properties-Reference-Cited by-同舟云学术

The function (𝑏^{𝑥}-𝑎^{𝑥})/𝑥: Inequalities and properties

Published:1998 Issue:11 Volume:126 Page:3355-3359
ISSN:0002-9939
Container-title:Proceedings of the American Mathematical Society
language:en
Short-container-title:Proc. Amer. Math. Soc.

Author:

Qi Feng,Xu Sen-Lin

Abstract

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

Publisher

American Mathematical Society (AMS)

Subject

Applied Mathematics,General Mathematics

Link

http://www.ams.org/proc/1998-126-11/S0002-9939-98-04442-6/S0002-9939-98-04442-6.pdf

Reference4 articles.

1. Feng Qi, Refinements and Extensions of an Inequality, Mathematics and Informatics Quarterly (to appear).

2. Feng Qi, On a Two-parameter Family of Nonhomogeneous Mean Values, Tamkang Journal of Mathematics, Vol. 29 (1998), no. 2.

3. Mathematics and its Applications (East European Series);Mitrinović, D. S.,1993

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