• Korean Journal of Mathematics
• /
• 제26권4호
• /
• pp.665-674
• /
• 2018

A generalization of Ostrowski-type inequality involving functions of two independent variables is given.

• East Asian mathematical journal
• /
• 제18권2호
• /
• pp.163-173
• /
• 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 the Korean Society for Industrial and Applied Mathematics
• /
• 제3권1호
• /
• pp.127-135
• /
• 1999

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

• Kyungpook Mathematical Journal
• /
• 제54권4호
• /
• pp.545-554
• /
• 2014

We provide a new Ostrowski-type inequality involving functions of two independent variables, as well as some related results.

• Journal of the Korean Society for Industrial and Applied Mathematics
• /
• 제3권2호
• /
• pp.107-119
• /
• 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.

• Kyungpook Mathematical Journal
• /
• 제56권1호
• /
• pp.161-172
• /
• 2016

In this paper, we use the Riemann-Liouville fractional integrals to establish several new inequalities for some differantiable mappings that are connected with the celebrated Ostrowski type integral inequality.

• 대한수학회지
• /
• 제40권2호
• /
• pp.207-224
• /
• 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.

• Journal of the Korean Society for Industrial and Applied Mathematics
• /
• 제5권1호
• /
• pp.35-45
• /
• 2001

In this paper we point out an Ostrowski type inequality for the Riemann-Stieltjes integral ${\int}_a^b$ f (t) du (t), where f is of p-H-$H{\ddot{o}}lder$ type on [a,b], and u is of bounded variation on [a,b]. Applications for the approximation problem of the Riemann-Stieltjes integral in terms of Riemann-Stieltjes sums are also given.

• 대한수학회보
• /
• 제49권4호
• /
• pp.775-785
• /
• 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.

• 대한수학회보
• /
• 제45권4호
• /
• pp.763-780
• /
• 2008

An Ostrowski type inequality is developed for estimating the deviation of the integral mean of an absolutely continuous function, and the linear combination of its values at k + 1 partition points, on a segment of (real) linear spaces. Several particular cases are provided which recapture some earlier results, along with the results for trapezoidal type inequalities and the classical Ostrowski inequality. Some inequalities are obtained by applying these results for semi-inner products; and some of these inequalities are proven to be sharp.