European Journal of Pure and Applied Mathematics Vol.15 No.3 (2022) , 1120-1143
Suggested Citation
Sonubon A., Orankitjaroen S., Nonlaopon K. Bounds for the Convex Combination of Contra-harmonic and Harmonic Means by the Generalized Logarithmic Mean. European Journal of Pure and Applied Mathematics Vol.15 No.3 (2022) , 1120-1143. 1143. doi:10.29020/nybg.ejpam.v15i3.4444 Retrieved from: https://repository.li.mahidol.ac.th/handle/20.500.14594/85111
Title
Bounds for the Convex Combination of Contra-harmonic and Harmonic Means by the Generalized Logarithmic Mean
We verify the optimal upper bound and optimal lower bound for the convex combination of contra-harmonic and harmonic means by the generalized logarithmic mean Lp when p is of the linear form p = 2(1 − c)α + c and p is of the reciprocal of linear form p = 1/[2(1 − c)α + c] respectively. We prove that(Formula Presented)where C(a,b) and H(a,b) are contra-harmonic and harmonic means.
