Results 81 to 88 of about 92 (88)
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2012
In [81], A.M. Ostrowski proved the inequality (7), which is now known in the literature as Ostrowski’s inequality. Since its apperance in 1938, a good deal of research activity has been concentrated on the investigation of the inequalities of the type (7) and their applications.
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In [81], A.M. Ostrowski proved the inequality (7), which is now known in the literature as Ostrowski’s inequality. Since its apperance in 1938, a good deal of research activity has been concentrated on the investigation of the inequalities of the type (7) and their applications.
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Inequalities of Ostrowski Type
2011Ostrowski’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.
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A note on Ostrowski like inequalities
2005The author has proved some new Ostrowski like inequalities using basic mathematical analysis. The results are of particular interest for ``class room material'' to be taught to students.
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2010
We present optimal upper bounds for the deviation of a fuzzy continuous function from its fuzzy average over \([a, b] \subset {\mathbb R}\), error is measured in the D-fuzzy metric. The established fuzzy Ostrowski type inequalities are sharp, in fact attained by simple fuzzy real number valued functions.
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We present optimal upper bounds for the deviation of a fuzzy continuous function from its fuzzy average over \([a, b] \subset {\mathbb R}\), error is measured in the D-fuzzy metric. The established fuzzy Ostrowski type inequalities are sharp, in fact attained by simple fuzzy real number valued functions.
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Generalized Ostrowski's inequality on time scales
2008The classical Ostrowski's inequality as well as Montgomery's identity were recently generalized to time scales, i.e., nonempty closed subsets of the real line. The authors present further generalizations involving Peano kernel-like functions.
Karpuz, Başak, Özkan, Umut Mutlu
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Some new inequalities of Ostrowski type
2003The author establishes several Ostrowski type inequalities by assuming some special properties of the derivative of the function \(f\) around a given point \(x \in (a,b).\) In addition, several consequences of the results obtained are given. For completeness, we state one of the remarkable inequalities established in the paper.
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