Rooin, Jamal Ky Fan’s inequality via convexity. (English) Zbl 1163.26340 JIPAM, J. Inequal. Pure Appl. Math. 9, No. 1, Paper No. 23, 2 p. (2008). Summary: Using the strict convexity and concavity of the function \( f(x)=\frac{1}{1+e^x}\) on \( [0,\infty)\) and \( (-\infty,0]\) respectively, we prove Ky Fan’s inequality by separating the left and right hands of it by \( \frac{1}{G_n+G^{\prime }_n}\). MSC: 26D15 Inequalities for sums, series and integrals Keywords:convexity; Ky Fan’s inequality PDFBibTeX XMLCite \textit{J. Rooin}, JIPAM, J. Inequal. Pure Appl. Math. 9, No. 1, Paper No. 23, 2 p. (2008; Zbl 1163.26340) Full Text: EuDML EMIS