• Journal of the Korean Society for Industrial and Applied Mathematics
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• v.3 no.1
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• pp.127-135
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• 1999

An inequality of Ostrowski's type for monotonous nondecreasing mappings is given. Applications for quadrature formulas are pointed out.

• East Asian mathematical journal
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• v.18 no.2
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• pp.163-173
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• 2002

In this paper an inequality of Ostrowski type in terms of the lower and upper bounds of the first derivative is found.

• Journal of applied mathematics & informatics
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• v.26 no.5_6
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• pp.1123-1132
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• 2008

In this paper, by introducing a parameter, we establish a new Ostrowski's integral inequality which generalizes the result of [5]. Finally, we apply the new Ostrowski's inequality to numerical integration and special means.

• Bulletin of the Korean Mathematical Society
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• v.42 no.2
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• pp.213-230
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• 2005

Companions of Ostrowski's integral inequality for absolutely continuous functions and applications for composite quadrature rules and for p.d.J.'s are provided.

• Journal of the Korean Society for Industrial and Applied Mathematics
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• v.3 no.2
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• pp.107-119
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• 1999

A weighted integral inequality of Ostrowski type for mappings whose second derivatives are bounded is proved. The inequality is extended to account for applications in numerical integration.

• Journal of the Korean Mathematical Society
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• v.40 no.2
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• pp.207-224
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• 2003

Some weighted Ostrowski type integral inequalities for vector-valued functions in Hilbert spaces are given. Applications for quadrature rules with values in Hilbert spaces are also pointed out.

• Kyungpook Mathematical Journal
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• v.50 no.3
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• pp.371-378
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• 2010

In this paper, we establish new inequalities of Ostrowski's type for functions whose derivatives in absolute value are (${\alpha}$, m)-convex.

• Bulletin of the Korean Mathematical Society
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• v.49 no.4
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• pp.775-785
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• 2012

Some errors in literatures are pointed out and corrected. A generalization of Ostrowski type inequalities for functions whose derivatives in absolute value are s-convex in the second sense is established. Special cases are discussed.

• Honam Mathematical Journal
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• v.21 no.1
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• pp.127-137
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• 1999

An inequality of Ostrowski type for twice differentiable mappings whose derivatives belong to $L_{1}(a,\;b)$ and applications in Numerical Integration and for special means (logarithmic mean, identric mean, p-logarithmic mean etc...) are given.

• Journal of applied mathematics & informatics
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• v.7 no.3
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• pp.843-859
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• 2000

An Ostrowski type integral inequality for the Riemann-Stieltjes integral ${\int^b}_a$ f(t) du(t), where f is assumed to be of bounded variation on [a, b] and u is of r - H - $H\"{o}lder$ type on the same interval, is given. Applications to the approximation problem of the Riemann-Stieltjes integral in terms of Riemann-Stieltjes sums are also pointed out.