Skip to main content

Monotonicity and logarithmic concavity of two functions involving exponential function

Buy Article:

$55.00 plus tax (Refund Policy)

The function  [image omitted] for x > 0 is proved to be strictly decreasing. As an application of this monotonicity, the logarithmic concavity of the function  [image omitted] for a ∈  and t ∈ (0, ∞) is verified. The possible origin and background of the function (*) are revealed to be related to  [image omitted] the remainder of Binet's formula. Some applications of above results to the difference of (x) are noted.
No Reference information available - sign in for access.
No Citation information available - sign in for access.
No Supplementary Data.
No Article Media
No Metrics

Keywords: Binet's formula; exponential function; inequality; logarithmic concavity; monotonicity; origin

Document Type: Research Article

Affiliations: 1: Department of Mathematics, Sanmenxia Polytechnic, Sanmenxia City, Henan Province 472000, China 2: Department of Mathematics, Zhengzhou Teachers College, Zhengzhou City, Henan Province 450044, China 3: School of Mathematics and Informatics, Henan Polytechnic University, Jiaozuo City, Henan Province 454010, China 4: Research Institute of Mathematical Inequality Theory, Henan Polytechnic University, Jiaozuo City, Henan Province 454010, China

Publication date: 2008-07-01

More about this publication?
  • Access Key
  • Free content
  • Partial Free content
  • New content
  • Open access content
  • Partial Open access content
  • Subscribed content
  • Partial Subscribed content
  • Free trial content
Cookie Policy
X
Cookie Policy
Ingenta Connect website makes use of cookies so as to keep track of data that you have filled in. I am Happy with this Find out more