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MathCraft: PDF to LaTeX file: Sample-01

4 Hits, Last modified: 17 months ago

arsky type. \vspace{10mm} \begin{center} {\large\textbf{1. Introduction and Preliminaries}}\end{center}... rsky type. \vspace{10mm} \begin{center} {\large\textbf{2. A Simple Proof of Stolarsky Means Inequality... $$ \phi^{2}(t) \leq \phi(r) \cdot \phi(s) \quad \text { where } \quad t=\dfrac{r+s}{2} . $$ This impli... roof can be found in [2]. \vspace{4mm} \noindent\textbf{Lemma 2.1.} Let $f$ be log-convex function and

MathCraft: PDF to LaTeX file: Sample-02

4 Hits, Last modified: 17 months ago

geometry} \linespread{1.3} % double spaces lines \textwidth 6.3truein % These 4 commands define more efficient margins \textheight 9.9truein \oddsidemargin 0.0in \evensidemar... d x \leqslant \frac{f(a)+f(b)}{2} . $$ \noindent\textbf{Proof}: First of all, let's recall that a conve... _{0}\right)\right]$. \begin{wrapfigure}{r}{0.45\textwidth} \includegraphics[width=0.99\linewidth]{fig