Journal
RESULTS IN MATHEMATICS
Volume 61, Issue 3-4, Pages 223-229Publisher
BIRKHAUSER VERLAG AG
DOI: 10.1007/s00025-010-0090-9
Keywords
Lehmer mean; Toader mean; power mean
Categories
Funding
- National Natural Science Foundation of China [11071069]
- Natural Science Foundation of Zhejiang Province [Y7080106]
- Innovation Team Foundation of the Department of Education of Zhejiang Province [T200924]
Ask authors/readers for more resources
We find the greatest value p and least value q such that the double inequality L (p) (a, b) < T(a, b) < L (q) (a, b) holds for all a, b > 0 with a not equal b, and give a new upper bound for the complete elliptic integral of the second kind. Here and L (p) (a, b) = (a (p+1) + b (p+1))/(a (p) + b (p) ) denote the Toader and p-th Lehmer means of two positive numbers a and b, respectively.
Authors
I am an author on this paper
Click your name to claim this paper and add it to your profile.
Reviews
Recommended
No Data Available
Share Paper
