General Inequalities 3: 3rd International Conference on General Inequalities, Oberwolfach, April 26 – May 2, 1981

543 Pages·1983·10.938 MB·English

by  Irmgard Süss (auth.), E. F. Beckenbach, Prof. Dr. Wolfgang Walter (eds.)

ISNM 64:
International Series of Numerical Mathematics
Internationale Schriftenreihe zur Numerischen Mathematik
Serie internationale d'A nalyse numerique
Vol. 64
Edited by
Ch. Blanc, Lausanne; A. Ghizzetti, Roma;
R. Glowinski, Paris; G. Golub, Stanford;
P. Henrici, Zürich; H. 0. Kreiss, Pasadena;
A. Ostrowski, Montagnola; J. Todd, Pasadena
Springer Basel AG
General lnequalities 3
3rd International Conference on General Inequalities,
Oberwolfach, April26-May 2, 1981
Edited by
E. F. Beckenbach t
W. Walter
1983 Springer Basel AG
Editor's address
Prof. Dr. Wolfgang Walter
Universität Karlsruhe
Mathematisches Institut I
Kaiserstraße 12
D-7500 Karlsruhe 1 (FRG)
CIP-Kurztitelaufnahme der Deutschen Bibliothek
General inequalities I . . . Internat. Conference on
General lnequalities. - Basel ; Boston ; Stuttgart
Birkhäuser
1 mit d. Erscheinungsorten: Basel, Stuttgart. - 1 mit
parallelt.: Allgemeine Ungleichungen
NE: Internationale Tagung über Allgemeine Ungleichungen
PT
3. Oberwolfach, April 26-May 2, 1981. - 1983.
(International series of numerical mathematics
Vol. 64)
NE:GT
All rights reserved.
No part of this publication may be reproduced, stored in a retrieval
system or transmitted in any form or by any means, electronic,
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permission of the copyright owner.
© Springer Basel AG 1983
Originally published by Birkhäuser Verlag Basel in 1983
Softcoverreprint ofthe bardeover Istedition 1983
ISBN 978-3-0348-6292-9 ISBN 978-3-0348-6290-5 (eBook)
DOI 10.1007/978-3-0348-6290-5
V
FOREWORD
The Third International Conference on General Inequalities was held
from April 26 to May 2, 1981, at the Mathematisches Forschungsinstitut
Oberwolfach ( Black Fore st, Germany) • Only two of the three chairmen of
the conference, Professor E.F. Beckenbach (Los Angeles), Professor
M. Kuczma (Katowicehand Professor W. Walter (Karlsruhe), were able to
attend. Professor Kuczma is seriously ill, and his usual stimulating
scientific contributions were badly missed. As usual, Professor R. Ger
(Katowice) served extremely well as a secretary of the conference.
The meetingwas attended by 39 participants from 12 countries. It
was opened by E.F. Beckenbach, who presented the good news that the next
conference on General Inequalities has been set here in Oberwolfach for
the week of May 8-14, 1983.
Many branches of mathematics and its applications were represented,
such as functional and differential inequalities; convexity and its
generalizations; inequalities in functional analysis, in particular in
sequence spaces; and applications to geometry, complex variables, proba
bility theory, and economics. Classical inequalities continued tobe a
steady source of the new ideas and methods. Special emphasis was placed
on majorization and optimization techniques, which play such an important
role in economic and industrial applications.
The exchange of ideas was especially fruitful in the Problems and
Remarks sessions.
The view was snared by all participants tnat the most harmonious and
stimulating atmosphere prevailed, resulting in many fruitful scientific
discussions.
In closing remarks, W. Walter expressed the gratitude of all parti
cipants for the excellent working conditions in the Institute and for
the hospitality of its leaders and staff.
E.F. Beckenbach
L"'t{\-(/\r-c~
j
W. Walter
vii
PARTICIPANTS
J. ACzEL, University of Waterloo, Waterloo, Ontario, Canada
R.P. AGARWAL, Institute of Mathematical Science, Madras, India
c. ALSINA, Universitat Politecnica de Barcelona, Barcelona, Spain
T.F. BANCHOFF, Brown University, Providence, Rhode Island, USA
C. BANDLE, Universität Basel, Basel, Switzerland
E.F. BECKENBACH, University of California, Los Angeles, California, USA
D. BRYDAK, Wyzsza Szkof'a Pedagogiczna, Krak6w, Poland
B. CHOCZEWSKI, Westfälischen Wilhelms-Universität, Münster, West Germany
A. CLAUSING, Westfälischen Wilhelms-Universität, Münster, West Germany
G. CROSS, University of Waterloo, Waterloo, Ontario, Canada
z. DARdCZY, L. Kossuth University, Debrecen, Hungary
W. EICHHORN, Universität Karlsruhe, Ka.rlsruhe, West Germany
F. FElitR, Rheinisch-Westfäliche Technische Hochschule Aachen, Aachen,
West Germany
I . FENYÖ, Technical Uni versi ty of Budapest, Budapest, Hungary
R. GER, Silesian Uni versi ty, Katowice, Poland
M. GOLDBERG, Technion-Israel Institute of Technology, Haifa, Israel
A. KOVACEC, An der Niederhaid 21, A-114D Wien, Austria
M. IACZKOVICH, Eötvos Lorand University, Budapest, Hungary
L. LOSONCZI, L. Kossuth University, Debrecen, Hungary
E.R. LOVE, University of Melbourne, Parkville, Australia
A.W. MARSHALL, University of British Columbia, Vancouver, British
Columbia, Canada
R.J. NESSEL, Rheinisch-Westfälische Technische Hockschule Aachen,
Aachen, West Germany
I. OLKIN, Stanford University, Stanford, California, USA
z. PÄLES, Kossuth Lajos University, Debrecen, Hungary
J. RÄTZ, Universität Bern, Bern, Switzerland
M.O. READE, University of Michigan, Ann Arbor, Michigan, USA
R. REDHEFFER, University of California, Los Angeles, California, USA
D.C. RUSSELL, York University, Downsview, Ontario, Canada
B. SAFFARI, Matematiques Universite d'Orsay, Orsay, France
w.
SCHEMPP, Universität Siegen, Siegen, West Germany
J. SCHRÖDER, Universität I(öln, KÖln, West Germany
B. SCHWEIZER, University of Massachusetts, Amherst, Massachusetts, USA
Viii
PARTICIPANTS (Continued)
P. VOLKMANN, Universität Karlßruhe, Karlßruhe, West Genna.ny
W. WALTER, Universität Karlßruhe, Karlßruhe, West Germany
CH. WANG, University of Regina, Saskatchewan, Canada
A. WILANSKY, Lehigh University, Bethlehem, Pennsylvania, USA
K. ZELLER, Mathematisches Institut, Tübingen, West Germany
ix
SCIENTIFIC PROGRAM OF THE CONFERENCE
Monday, April 27
Operring of the conference E. F. BECKENBACH
Early morning session Chairman: J. ACZEI L
R. REDHEFFER: Easy proofs of hard inequalities
R. J. NESSEL: On uniform boundedness principles with rates
Late morning session Chairman: I. FENYÖ
F. FEHER: Exponents of submultiplicative functions and function
spaces
K. ZELLER: Extension of the Riesz mean-value theorem
Early afternoon session Chairman: W. WALTER
J. ACZEI L: Functional equations and inequalities in rational group
decision making
r. FENYÖ: An error estimate for approximate solutions of operator
equations
R. GER: Almost approximately additive mappings
Late afternoon session Chairman: B. CHOCZEWSKI
z. PAI LES: HÖlder and Minkowski inequalities for homogeneaus means
depending on two parameters
L. LOSONCZI: Remarks on trölder and Minkowski inequalities
* * * * *
Tuesday, April 28
Early morning session Chairman: E. F. BECKENBACH
I. OLKIN: Inequalities: Some applications of majorization
CH. WANG: Inequalities and mathematical programming
Late morning session Chairman: R. REDHEFFER
M. GOLDBERG: Better stability bounds for Lax-Wendroff schemes in
several space variables
w. EICHHORN: Inequalities in the economic theory of inequalities
Problems and remarks
X
Early afternoon session Chairmn: z. DAROI CZY
A. CLAUSING: Quasiconvexity and integral inequalities
M. LACZKOVICH: A generalization of Kemperman's inequality
2f(x) ~ f(x+h) + f(x+2h)
Late afternoon session Chairman: R. GER
P. VOLKMANN: Existenz einer zwischen zwei Funktionen v, w
gelegenen Lösung von Funktionalgleichungen der Form
u(~(x1, .•• ,xn)) = ~(u(x1), ••• ,u(xn)), wenn v, w
entsprechenden Funktionalungleichungen genügen
J. RÄTZ: On Lorentz transformations in the plane
Z. DARCcZY: Inequalities for deviation means
* * * * *
Wednesday, April 29
Early morning session Chairmn: I. OLKIN
A. W. MARSHALL: On some aspects of majorization
C. ALSINA: Functional inequalities and t-norms
Late morning session Chairman: R. J. NESSEL
B. SCHWEIZER: Menger betweenness in a-simple spaces
R. P. AGARWAL: Some inequalities for functions having n zeros
Problems and remarks
Afterneon excursion and discussion
* * * * *
Thursday, April 30
Early morning session Chairman: K. ZELLER
E. R. LOVE: Inequalities between norms in sequence spaces
D. C. RUSSELL: Interpolation problems in approximation theory
Late morning Session Chairman: E. R. LOVE
J. SCHRÖDER: Shape-invariant bounds for elliptic-parabolic problems
C. BANDLE: Comparison theorems for second and fourth order elliptic
differential equations
Problems and remarks