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APPROXIMATING THE STIELTJES INTEGRAL FOR (φ,Φ)-LIPSCHITZIAN INTEGRATORS

Part of: Approximations and expansions Real functions Inequalities

Published online by Cambridge University Press:  01 February 2008

S. S. DRAGOMIR
S. S. DRAGOMIR*
Affiliation:
School of Computer Science and Mathematics, Victoria University, PO Box 14428, Melbourne City, VIC 8001, Australia (email: sever.dragomir@vu.edu.au)
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Abstract

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Approximations for the Stieltjes integral with (φ,Φ)-Lipschitzian integrators are given. Applications for the Riemann integral of a product and for the generalized trapezoid and Ostrowski inequalities are also provided.

Keywords

Stieltjes integralRiemann integraltrapezoid rulemidpoint ruleOstrowski inequality

MSC classification

Secondary: 26D15: Inequalities for sums, series and integrals 26A42: Integrals of Riemann, Stieltjes and Lebesgue type 41A55: Approximate quadratures
Type
Research Article
Information
Bulletin of the Australian Mathematical Society , Volume 77 , Issue 1 , February 2008 , pp. 73 - 90
Copyright
Copyright © Australian Mathematical Society 2008

References

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