文档介绍：ATLANTIS STUDIES IN MATHEMATICS
VOLUME 3
SERIES EDITOR: J. VA N MILL
Atlantis Studies in Mathematics
Series Editor:
J. van Mill
VU University Amsterdam, Amsterdam, herlands
(ISSN: 1875-7634)
Aims and scope of the series
The series ‘Atlantis Studies in Mathematics’(ASM) publishes monographs of high quality
in all areas of mathematics. Both research monographs and books of an expository nature
are e.
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AMSTERDAM –PARIS
c ATLANTIS PRESS
Analytic Inequalities
Recent Advances
. Pachpatte †
57, Shri Niketen Coloney
Aurangabad
India
AMSTERDAM –PARIS
Atlantis Press
8, square des Bouleaux
75019 Paris, France
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Copyright
This book, or any parts thereof, may not be reproduced mercial purposes in any form or by
any means, electronic or mechanical, including photocopying, recording or any information storage
and retrieval system known or to be invented, without prior permission from the Publisher.
Atlantis Studies in Mathematics
Volume 1: Topological Groups and Related Structures, A. Arhangel’skii, M. Tkachenko
Volume 2: Topics in Measure Theory and Real Analysis, . Kharazishvili
ISBNs
Print: 978-94-91216-43-5
E-Book: 978-94-91216-44-2
ISSN: 1875-7634
c 2012 ATLANTIS PRESS
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Preface
Analytic inequalities are widely acknowledged as one of the major driving forces behind the
development of various branches of mathematics and many applied sciences. The study of
inequalities has increased enormously over recent decades as it has been demonstrated that
they have applications in many diverse fields of mathematics. There exists, for example,
a very rich literature related to the Cebyˇ sev,ˇ Gruss,¨ Trapezoid, Ostrowski, Hadamard and
Jensen inequalities. This monograph is an attempt anize recent progress relate