MIR LML Korovkin P P Inequalities 1975

Little Mathematics Library ROVKIN INEQUALITIES Mir Publishers Moscow IIOIIYJI JIEHIZHH MATEMATHHE Copo BHAH HEPABEHCTBA ATEJ GTBO AYH LITTLE MATHEMATICS LIBRARY

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Little Mathematics Library 00 P P KO ROVKIN INEQUALITIES Mir Publishers Moscow C A SI Pv IIOIIYJI IP Hb IE JIEHIZHH HO MATEMATHHE H H I Copo BHAH HEPABEHCTBA II 3 J ATEJ Ib GTBO H AYH A LITTLE MATHEMATICS LIBRARY P P Korovkin INEQUALITIES Translated From The Russian By Sergei Vrubel MI R PUBLISHERS MOSCOW First Published 1975 Ha Au M U U C Co 14 Mutce Q Ha A Tenac TBO U Hayxa 1974 Q English Translation Mir Publishers T 975 CONTENTS Preface 6 Chapter 1 Inequalities 7 1 1 The Whole Part Of A Number 7 1 2 The Arithmetic Mean And The Geometric Mean 12 1 3 The Number 19 1 4 The Bernoulli Inequality 23 1 5 The Mean Power Of Numbers 27 Chapter 2 Uses Of Inequalities 32 2 1 The Greatest And The Least Function Values 32 2 2 The Holder Inequality 40 2 3 The Use Of Inequalities For Calculation Of Limit

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