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Cauchy-schwarz functionals

Published online by Cambridge University Press:  17 April 2009

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
Copyright
Copyright © Australian Mathematical Society 2000

References

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