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THE QUASILINEARITY OF SOME FUNCTIONALS ASSOCIATED WITH THE RIEMANN–STIELTJES INTEGRAL

Part of: Inequalities

Published online by Cambridge University Press:  05 April 2011

S. S. DRAGOMIR  and
I. FEDOTOV
S. S. DRAGOMIR*
Affiliation:
Mathematics, School of Engineering and Science, Victoria University, PO Box 14428 Melbourne City, MC 8001, Australia School of Computational and Applied Mathematics, University of the Witwatersrand, Private Bag 3, Wits 2050, Johannesburg, South Africa (email: [email protected])
I. FEDOTOV
Affiliation:
Department of Mathematics and Statistics, Tshwane University of Technology, Private Bag X680, Pretoria 001, South Africa (email: [email protected])
*
✉For correspondence; e-mail: [email protected]
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Abstract

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The superadditivity and subadditivity of some functionals associated with the Riemann–Stieltjes integral are established. Applications in connection to Ostrowski’s and the generalized trapezoidal inequalities and for special means are provided.

Keywords

Riemann–Stieltjes integralsuperadditivitysubadditivityOstrowski’s inequalityspecial means

MSC classification

Secondary: 26D15: Inequalities for sums, series and integrals
Type
Research Article
Information
Bulletin of the Australian Mathematical Society , Volume 84 , Issue 1 , August 2011 , pp. 53 - 66
Copyright
Copyright © Australian Mathematical Publishing Association Inc. 2011

References

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