A new upper bound in the second Kershaw's double inequality and its generalizations

  • Authors:

  • Feng Qi;Senlin Guo;Shou-Xin Chen

  • Affiliations:

  • College of Mathematics and Information Science, Henan University, Kaifeng City, Henan Province 475001, China and Research Institute of Mathematical Inequality Theory, Henan Polytechnic University, ...;Department of Mathematics, University of Manitoba, Winnipeg, MB, Canada R3T 2N2;College of Mathematics and Information Science, Henan University, Kaifeng City, Henan Province 475001, China

  • Venue:
  • Journal of Computational and Applied Mathematics
  • Year:
  • 2008

Quantified Score

Hi-index 7.29

Visualization

Abstract

In the paper, a new upper bound in the second Kershaw's double inequality involving ratio of gamma functions is established, and, as generalizations of the second Kershaw's double inequality, the divided differences of the psi and polygamma functions are bounded.