Optimal Bounds for Neuman Mean Using Arithmetic and Centroidal Means
We present the best possible parameters α1,α2,β1,β2∈R and α3,β3∈(1/2,1) such that the double inequalities α1A(a,b)+(1-α1)C(a,b)<NQA(a,b)<β1A(a,b)+(1-β1)C(a,b),Aα2(a,b)C1-α2(a,b)<NQA(a,b)<Aβ2(a,b)C1-β2(a,b), and C[α3a+(1-α3)b,α3b+(1-α3)a]<NQA(a,b)<C[β3a+(1-β3)b,β3b+(1-β3)a] hold for...
Main Authors: | , , |
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Format: | Article |
Language: | English |
Published: |
Hindawi Limited
2016-01-01
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Series: | Journal of Function Spaces |
Online Access: | http://dx.doi.org/10.1155/2016/5131907 |