Turkish Journal of Analysis and Number Theory
ISSN (Print): 2333-1100 ISSN (Online): 2333-1232 Website: http://www.sciepub.com/journal/tjant
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Turkish Journal of Analysis and Number Theory. 2019, 7(1), 18-22
DOI: 10.12691/tjant-7-1-4
Open AccessArticle

Monotonic Properties of Generalized Nielsen's β-function

Jumei Zhang1, Li Yin1, and Wenyan Cui1

1School of Science, Binzhou University

Pub. Date: February 23, 2019

Cite this paper:
Jumei Zhang, Li Yin and Wenyan Cui. Monotonic Properties of Generalized Nielsen's β-function. Turkish Journal of Analysis and Number Theory. 2019; 7(1):18-22. doi: 10.12691/tjant-7-1-4

Abstract

In the paper, we discuss a new k-generalization of the Nielsen's β-function. Later, we study the completely monotonicity, convexity and inequalities of the new function.

Keywords:
Nielsen's β-function k-generalization inequality completely monotonic

Creative CommonsThis work is licensed under a Creative Commons Attribution 4.0 International License. To view a copy of this license, visit http://creativecommons.org/licenses/by/4.0/

References:

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