Complete monotonicity of a function involving the p-psi function and alternative proofs

Valmir Krasniqi; Feng Qi

doi:10.14419/gjma.v2i3.3096

Article Details

Complete monotonicity of a function involving the p-psi function and alternative proofs

Authors:

Valmir Krasniqi | Feng Qi

Publisher:

Science Publishing Corporation

Journal:

Global Journal of Mathematical Analysis Vol.2 Issue 3, pp.204-208

Document Type:

Article

Publication Date:

3/2014

Document Language:

English

Document ID (Org No.):

2001385495

pISSN:

2307-9002

DOI:

10.14419/gjma.v2i3.3096

Abstract:

 In the paper, the authors prove that the function $x^\alpha\big[\ln\frac{px}{x+p+1}-\psi_p(x)\big]$ is completely monotonic on $(0,\infty)$ if and only if $\alpha \le 1$, where $p\in\mathbb{N}$ and $\psi_p(x)$ is the $p$-analogue of the classical psi function $\psi(x)$.Keywords: completely monotonic function; necessary and sufficient condition; p-gamma function; p-psi function; Inequality MSC: Primary 33D05; Secondary 26A48, 33B15, 33E50.

Article Details

Complete monotonicity of a function involving the p-psi function and alternative proofs

Authors: Valmir Krasniqi | Feng Qi

Publisher: Science Publishing Corporation

Journal: Global Journal of Mathematical Analysis Vol.2 Issue 3, pp.204-208

Document Type: Article

Publication Date: 3/2014

Document Language: English

Document ID (Org No.): 2001385495

pISSN: 2307-9002

DOI: 10.14419/gjma.v2i3.3096

Issues

Authors:

Valmir Krasniqi | Feng Qi

Publisher:

Science Publishing Corporation

Journal:

Global Journal of Mathematical Analysis Vol.2 Issue 3, pp.204-208

Document Type:

Article

Publication Date:

3/2014

Document Language:

English

Document ID (Org No.):

2001385495

pISSN:

2307-9002

DOI:

10.14419/gjma.v2i3.3096