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Operator Inequalities of Ostrowski and Trapezoidal Type pp 11–75Cite as

Inequalities of Ostrowski Type

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Abstract

Ostrowski’s type inequalities provide sharp error estimates in approximating the value of a function by its integral mean. They can be utilized to obtain a priory error bounds for different quadrature rules in approximating the Riemann integral by different Riemann sums. They also shows, in general, that the mid-point rule provides the best approximation in the class of all Riemann sums sampled in the interior points of a given partition.

Keywords

  • Hilbert Space
  • Convex Function
  • Bounded Variation
  • Type Inequality
  • Selfadjoint Operator

These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Authors and Affiliations

  1. School of Engineering and Science, Victoria University, Melbourne, Australia, 8001

    Slivestru Sever Dragomir

  2. School of Computational and Applied Mathematics, University of the Witwatersrand, Braamfontein, 2000, Johannesburg, South Africa

    Slivestru Sever Dragomir

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  1. Slivestru Sever Dragomir
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Correspondence to Slivestru Sever Dragomir .

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Dragomir, S.S. (2012). Inequalities of Ostrowski Type. In: Operator Inequalities of Ostrowski and Trapezoidal Type. SpringerBriefs in Mathematics. Springer, New York, NY. https://doi.org/10.1007/978-1-4614-1779-8_2

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