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Cauchy-schwarz functionals

Published online by Cambridge University Press:  17 April 2009

Y. J. Cho ,
S. S. Dragomir ,
S. S. Kim  and
C. E. M. Pearce
Y. J. Cho
Affiliation:
Department of Mathematics, Gyeongsang National University, Chinju, Korea
S. S. Dragomir
Affiliation:
Department of Mathematics, Dongeui University, Pusan 614–714, Korea
S. S. Kim
Affiliation:
School of Communication and Informatics, Victoria University of Technology, PO Box 14428, Melbourne Vic. 8001, Australia
C. E. M. Pearce
Affiliation:
Applied Mathematics Department, The University of Adelaide, Adelaide SA 5005, Australia
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Abstract

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We treat a class of functionals which satisfy the Cauchy–Schwarz inequality. This appears to be a natural unifying concept and subsumes inter alia isotonic linear functional and sublinear positive isotonic functionals. Striking superadditivity and monotonicity properties are derived.

Type
Research Article
Information
Bulletin of the Australian Mathematical Society , Volume 62 , Issue 3 , December 2000 , pp. 479 - 491
Copyright
Copyright © Australian Mathematical Society 2000

References

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