Publications Meetings The Profession Membership Programs Math Samplings Policy & Advocacy In the News About the AMS
|
   
Mobile Device Pairing
Proceedings of the American Mathematical Society
Proceedings of the American Mathematical Society
ISSN 1088-6826(online) ISSN 0002-9939(print)

Refinements of lower bounds for polygamma functions


Authors: Bai-Ni Guo and Feng Qi
Journal: Proc. Amer. Math. Soc. 141 (2013), 1007-1015
MSC (2010): Primary 33B15; Secondary 26D07
Posted: August 9, 2012
Full-text PDF

Abstract | References | Similar Articles | Additional Information

Abstract: In the paper, some lower bounds for polygamma functions are refined. Moreover, several open problems are posed.


References [Enhancements On Off] (What's this?)


Similar Articles

Retrieve articles in Proceedings of the American Mathematical Society with MSC (2010): 33B15, 26D07

Retrieve articles in all journals with MSC (2010): 33B15, 26D07


Additional Information

Bai-Ni Guo
Affiliation: School of Mathematics and Informatics, Henan Polytechnic University, Jiaozuo City, Henan Province, 454010, People’s Republic of China
Email: bai.ni.guo@gmail.com

Feng Qi
Affiliation: School of Mathematics and Informatics, Henan Polytechnic University, Jiaozuo City, Henan Province, 454010, People’s Republic of China
Email: qifeng618@gmail.com

DOI: http://dx.doi.org/10.1090/S0002-9939-2012-11387-5
PII: S 0002-9939(2012)11387-5
Keywords: Refinement, lower bound, polygamma function, inequality, mean, open problem
Received by editor(s): December 13, 2009
Received by editor(s) in revised form: March 2, 2011, and August 4, 2011
Posted: August 9, 2012
Additional Notes: The second author was partially supported by the China Scholarship Council and the Science Foundation of Tianjin Polytechnic University
Communicated by: Walter Van Assche
Article copyright: © Copyright 2012 American Mathematical Society
The copyright for this article reverts to public domain 28 years after publication.




AMS and Social Media LinkedIn Facebook Podcasts Twitter YouTube RSS Feeds Blogs Wikipedia