Equivalent Property of the Reverse Hardy-Type Integral Inequalities

In this chapter, we obtain a few equivalent statements of two kinds of reverse Hardy-type integral inequalities with a general nonhomogeneous kernel related to certain parameters.

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Bicheng Yang Michael Th. Rassias

On Hilbert-Type and Hardy-Type Integral Inequalities and Applications 123

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Bicheng Yang Michael Th. Rassias •

On Hilbert-Type and Hardy-Type Integral Inequalities and Applications

123

Bicheng Yang Department of Mathematics Guangdong University of Education Guangzhou, China

Michael Th. Rassias Institute of Mathematics University of Zurich Zürich, Switzerland Moscow Institute of Physics and Technology Dolgoprudny, Russia Institute for Advanced Study Program in Interdisciplinary Studies Princeton, USA

ISSN 2191-8198 ISSN 2191-8201 (electronic) SpringerBriefs in Mathematics ISBN 978-3-030-29267-6 ISBN 978-3-030-29268-3 (eBook) https://doi.org/10.1007/978-3-030-29268-3 Mathematics Subject Classification (2010): 26D15, 37A10, 47A07, 65B10 © The Author(s), under exclusive licence to Springer Nature Switzerland AG 2019 This work is subject to copyright. All rights are solely and exclusively licensed 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, expressed 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 Springer imprint is published by the registered company Springer Nature Switzerland AG The registered company address is:

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