Title of article
REMARKS ON INEQUALITIES FOR THE TANGENT FUNCTION
Author/Authors
Zhao, Jiao-Lian Weinan Teachers University - Department of Mathematics and Informatics, China , Luo, Qiu-Ming Chongqing Normal University - Department of Mathematics, China , Guo, Bai-Ni Henan Polytechnic University - School of Mathematics and Informatics, China , Qi, Feng Chongqing Normal University - Department of Mathematics, China , Qi, Feng Tianjin Polytechnic University - School of Science - Department of Mathematics, China
From page
499
To page
506
Abstract
In the paper, the authors analyze and compare two double inequalities for bounding the tangent function, reorganize the proof in C.-P. Chen and F. Qi (A double inequality for remainder of power series of tangent function, Tamkang J. Math. 34 (4), 351–355, 2003) by using the usual definition of Bernoulli numbers, and correct some errors onpage 6, (1.29) and (1.30) of F. Qi, D. -W. Niu, and B. -N. Guo (Re-finements, generalizations, and applications of Jordan’s inequality and related problems, J. Inequal. Appl. 2009 (2009), Article ID 271923, 52 pages, 2009). Moreover, the authors propose a sharp double inequalityas a conjecture.
Keywords
Inequality , Tangent function , Comparison , Bernoulli number , Induction , Reorganization , Conjecture.
Journal title
Hacettepe Journal Of Mathematics and Statistics
Journal title
Hacettepe Journal Of Mathematics and Statistics
Record number
2650383
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