含三角函数的四阶导数构成的差是完全单调的充分必要条件

IF 0.9 4区数学 Q2 MATHEMATICS

Mathematical Inequalities & Applications Pub Date : 2021-01-01 DOI:10.7153/mia-2021-24-58

Feng Qi (祁锋)

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引用次数: 6

摘要

本文利用拉普拉斯变换的卷积定理、完全单调函数的Bernstein定理等技术，得到了一个包含三角函数的函数的四阶导数构成的差是完全单调的充分必要条件。数学学科分类(2020):小学33B15;二级26A48、26A51、26D07、44A10。

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Necessary and sufficient conditions for a difference constituted by four derivatives of a function involving trigamma function to be completely monotonic

In the paper, by virtue of convolution theorem for the Laplace transforms, Bernstein’s theorem for completely monotonic functions, and other techniques, the author finds necessary and sufficient conditions for a difference constituted by four derivatives of a function involving trigamma function to be completely monotonic. Mathematics subject classification (2020): Primary 33B15; Secondary 26A48, 26A51, 26D07, 44A10.

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来源期刊

Mathematical Inequalities & Applications 数学-数学

CiteScore

2.30

自引率

10.00%

发文量

审稿时长

6-12 weeks

期刊介绍： ''Mathematical Inequalities & Applications'' (''MIA'') brings together original research papers in all areas of mathematics, provided they are concerned with inequalities or their role. From time to time ''MIA'' will publish invited survey articles. Short notes with interesting results or open problems will also be accepted. ''MIA'' is published quarterly, in January, April, July, and October.