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- Title
Optimal inequalities for a Toader-type mean by quadratic and contraharmonic means.
- Authors
Zhengchao Ji; Qing Ding; Tiehong Zhao
- Abstract
In this paper, we present the best possible parameters αi, βi (i = 1,2,3) and α4, β4 ∈ (1/2,1) such that the double inequalities ... hold for all a,b > 0 with a ≠ b, where Q (a,b), C(a,b), and T (a,b) are the quadratic, contraharmonic, and Toader means, respectively, and TQ, C(a,b) = T[Q (a,b), C(a,b)]. As consequences, we provide new bounds for the complete elliptic integral of the second kind.
- Subjects
MATHEMATICAL inequalities; ELLIPTIC integrals; QUADRATIC equations
- Publication
Journal of Nonlinear Sciences & Applications (JNSA), 2018, Vol 11, Issue 1, p150
- ISSN
2008-1898
- Publication type
Article
- DOI
10.22436/jnsa.011.01.11