Inequalities An Approach Through Problems
This book discusses about the basic topics on inequalities and their applications. These include the arithmetic mean–geometric mean inequality, Cauchy–Schwarz inequality, Chebyshev inequality, rearrangement inequality, convex and concave functions and Mui
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B. J. Venkatachala
Inequalities An Approach Through Problems Second Edition
Texts and Readings in Mathematics Volume 49
Advisory Editor C. S. Seshadri, Chennai Mathematical Institute, Chennai Managing Editor Rajendra Bhatia, Indian Statistical Institute, New Delhi Editors Manindra Agrawal, Indian Institute of Technology, Kanpur V. Balaji, Chennai Mathematical Institute, Chennai R. B. Bapat, Indian Statistical Institute, New Delhi V. S. Borkar, Indian Institute of Technology, Mumbai T. R. Ramadas, Chennai Mathematical Institute, Chennai V. Srinivas, Tata Institute of Fundamental Research, Mumbai Technical Editor P. Vanchinathan, Vellore Institute of Technology, Chennai
The Texts and Readings in Mathematics series publishes high-quality textbooks, research-level monographs, lecture notes and contributed volumes. Undergraduate and graduate students of mathematics, research scholars, and teachers would find this book series useful. The volumes are carefully written as teaching aids and highlight characteristic features of the theory. The books in this series are co-published with Hindustan Book Agency, New Delhi, India.
More information about this series at http://www.springer.com/series/15141
B. J. Venkatachala
Inequalities An Approach Through Problems Second Edition
123
B. J. Venkatachala (emeritus) Homi Bhabha Centre for Science Education Mumbai, Maharashtra India
ISSN 2366-8725 (electronic) Texts and Readings in Mathematics ISBN 978-981-10-8732-5 (eBook) https://doi.org/10.1007/978-981-10-8732-5 Library of Congress Control Number: 2018941811 This work is a co-publication with Hindustan Book Agency, New Delhi, licensed for sale in all countries in electronic form only. Sold and distributed in print across the world by Hindustan Book Agency, P-19 Green Park Extension, New Delhi 110016, India. ISBN: 978-93-86279-68-2 © Hindustan Book Agency 2018. 1st edition: © Hindustan Book Agency (lndia) 2009 2nd edition: © Springer Nature Singapore Pte Ltd. 2018 and Hindustan Book Agency 2018 This work is subject to copyright. All rights are reserved by the Publishers, whether the whole or part of the material is concerned, specifically the rights of translation, reprinting, reuse of illustrations, recitation, broadcasting, reproduction on microfilms or in any other physical way, and transmission or information storage and retrieval, electronic adaptation, computer software, or by similar or dissimilar methodology now known or hereafter developed. The use of general descriptive names, registered names, trademarks, service marks, etc. in this publication does not imply, even in the absence of a specific statement, that such names are exempt from the relevant protective laws and regulations and therefore free for general use. The publishers, the authors and the editors are safe to assume that the advice and information in this book are believed to be true and accurate at the date of publication. Neither the publishers nor the authors or the editors give a warranty, express or implied, with respect to the material contained
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