Sonubon A.Orankitjaroen S.Nonlaopon K.Mahidol University2023-06-182023-06-182022-07-01European Journal of Pure and Applied Mathematics Vol.15 No.3 (2022) , 1120-1143https://repository.li.mahidol.ac.th/handle/20.500.14594/85111We 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.MathematicsArticleSCOPUS10.29020/nybg.ejpam.v15i3.44442-s2.0-8513629721413075543