Open AccessSharp Generalized Seiffert Mean Bounds for Toader Mean
Author(s) -
YuMing Chu,
Miao-Kun Wang,
Song-Liang Qiu,
Ye-Fang Qiu
Publication year - 2011
Publication title -
abstract and applied analysis
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.228
H-Index - 56
eISSN - 1687-0409
pISSN - 1085-3375
DOI - 10.1155/2011/605259
Subject(s) - algorithm , computer science
For p∈[0,1], the generalized Seiffert mean of two positive numbers a and b is defined by Sp(a,b)=p(a-b)/arctan[2p(a-b)/(a+b)], 00 with a≠b, and give new bounds for the complete elliptic integrals of the second kind. Here, T(a,b)=(2/π)∫0π/2a2cos2θ+b2sin2θdθ denotes the Toader mean of two positive numbers a and b
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