Lokesha, V.; Nagaraja, K. M.; Naveenkumar, B.; Padmanabhan, S. Extension of homogeneous function. (English) Zbl 1234.26047 Tamsui Oxf. J. Math. Sci. 26, No. 4, 443-450 (2010). Summary: We defined and studied the monotonicity of a homogeneous function of the type \(N[a,b;p,q;r,\alpha,\mu]=\left\{\frac{a^p+\mu M_r (a^p,b^p)+\alpha b^p}{a^q+\mu M_r(a^q,b^q)+\alpha b^q} \right\}^{\frac{1}{p-q}}\). Further, we established some valuable inequalities involving various means and some well known means are deduced as particular cases of this homogeneous function. Cited in 1 Document MSC: 26D10 Inequalities involving derivatives and differential and integral operators 26D15 Inequalities for sums, series and integrals Keywords:inequality; power exponential mean; weighted and contra harmonic mean PDFBibTeX XMLCite \textit{V. Lokesha} et al., Tamsui Oxf. J. Math. Sci. 26, No. 4, 443--450 (2010; Zbl 1234.26047)