Advances in Mathematical Inequalities and Applications
This book is a collection of original research and survey articles on mathematical inequalities and their numerous applications in diverse areas of mathematics and engineering. It includes chapters on convexity and related concepts; inequalities for mean
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Praveen Agarwal Silvestru Sever Dragomir Mohamed Jleli Bessem Samet Editors
Advances in Mathematical Inequalities and Applications
Trends in Mathematics Trends in Mathematics is a series devoted to the publications of volumes arising from conferences and lecture series focusing on a particular topic from any area of mathematics. Its aim is to make current developments available to the community as rapidly as possible without compromise to quality and to archive these for reference.
More information about this series at http://www.springer.com/series/4961
Praveen Agarwal Silvestru Sever Dragomir Mohamed Jleli Bessem Samet •
•
Editors
Advances in Mathematical Inequalities and Applications
Editors Praveen Agarwal Department of Mathematics Anand International College of Engineering Jaipur, India and International Centre for Basic and Applied Sciences Jaipur, India
Mohamed Jleli Department of Mathematics King Saud University Riyadh, Saudi Arabia Bessem Samet Department of Mathematics King Saud University Riyadh, Saudi Arabia
Silvestru Sever Dragomir
Department of Mathematics Victoria University Melbourne, VIC, Australia
ISSN 2297-0215 ISSN 2297-024X (electronic) Trends in Mathematics ISBN 978-981-13-3012-4 ISBN 978-981-13-3013-1 (eBook) https://doi.org/10.1007/978-981-13-3013-1 Library of Congress Control Number: 2018958925 © Springer Nature Singapore Pte Ltd. 2018 This work is subject to copyright. All rights are reserved by the Publisher, 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 publisher, 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 publisher nor the authors or the editors give a warranty, express or implied, with respect to the material contained herein or for any errors or omissions that may have been made. The publisher remains neutral with regard to jurisdictional claims in published maps and institutional affiliations. This book is published under the imprint Birkhäuser, www.birkhauser-science.com, by the registered company Springer Nature Singapore Pte Ltd. The registered company address is: 152 Beach Road, #21-01/04 Gateway East, Singapore 189721, Singapore
Contents
Inequalities for the Generalized k-g-Fractional Integrals in Terms of Double Integral Means . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . Silvestru Sever Dragomir Exis
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