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MathCraft: PDF to LaTeX file: Sample-01
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introduced these means. Stolarsky proved that the function $E(r, s)$ is increasing in both $r$ and $s$ i.e. ... q v$. \footnotetext{Key words and phrases. convex function, log-convex function, Stolarsky means. } \vspace{2mm} We consider the following function $f(x)=p^{2} \varphi_{r}(x)+2 p q \varphi_{t}(x)+
MathCraft: PDF to LaTeX file: Sample-02
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{Proof}: First of all, let's recall that a convex function on a open interval $(a, b)$ is continuous on $(a,