• Corpus ID: 14097759

A WEIGHTED COMPANION FOR THE OSTROWSKI AND THE GENERALIZED TRAPEZOID INEQUALITIES FOR MAPPINGS OF BOUNDED VARIATION

@inproceedings{Alomari2011AWC,
  title={A WEIGHTED COMPANION FOR THE OSTROWSKI AND THE GENERALIZED TRAPEZOID INEQUALITIES FOR MAPPINGS OF BOUNDED VARIATION},
  author={M. Alomari},
  year={2011}
}
A new generalization of weighted companion for the Ostrowski and the generalized trapezoid inequalities for mappings of bounded variation are established. 
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References

SHOWING 1-8 OF 8 REFERENCES
Another generalization of weighted Ostrowski type inequality for mappings of bounded variation
A Generalized Trapezoid Inequality for Functions of Bounded Variation
We establish a generalization of a recent trapezoid inequality for functions of bounded variation. A number of special cases are considered. Applications are made to quadrature formulae, probability
Some Weighted Integral Inequalities with a Parameter and Applications
In this paper, we obtain some weighted integral inequalities with a parameter, which not only provide a generalization of the known results, but also give some other interesting inequalities as
Sharp Integral Inequalities of the Hermite-Hadamard Type
We consider a family of two-point quadrature formulae and establish sharp estimates for the remainders under various regularity conditions. Improved forms of certain integral inequalities due to
The Ostrowski integral inequality for mappings of bounded variation
  • S. Dragomir
  • Mathematics
    Bulletin of the Australian Mathematical Society
  • 1999
A generalisation of the Ostrowski integral inequality for mappings of bounded variation and applications for general quadrature formulae are given.
Dragomir, Generalizations of weighted Ostrowski type inequalities for mappings of bounded variation and their applications
  • Computers and Mathematics with Applications,
  • 2008