涉及digamma函数的完全单调性结果的推广

Q3 Mathematics

Moroccan Journal of Pure and Applied Analysis Pub Date : 2018-12-01 DOI:10.1515/mjpaa-2018-0016

K. Nantomah

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引用次数: 0

摘要

摘要利用一些分析技术，我们证明了一个涉及（p，k）-digamma函数的函数的完全单调性。随后，我们导出了（p，k）-digamma函数的一些不等式。作为已建立结果的特例，我们推导出一些关于p-digamma和k-digamma函数的新结果。我们的结果是对邱和武里宁、Mortici和Merovci之前的一些结果的扩展。

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Extension of complete monotonicity results involving the digamma function

Abstract By using some analytical techniques, we prove a complete monotonicity property of a certain function involving the (p, k)-digamma function. Subsequently, we derive some inequalities for the (p, k)- digamma function. As special cases of the established results, we deduce some new results concerning the p-digamma and the k-digamma functions. Our results are extensions of some previous results due to Qiu and Vuorinen, Mortici, and Merovci.

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来源期刊

Moroccan Journal of Pure and Applied Analysis Mathematics-Numerical Analysis

CiteScore

1.60

自引率

0.00%

发文量

审稿时长

8 weeks