Results 61 to 70 of about 163 (133)
Perturbations of an Ostrowski type inequality and applications [PDF]
Two perturbations of an Ostrowski type inequality are established. New error bounds for the mid‐point, trapezoid, and Simpson quadrature rules are derived. These error bounds can be much better than some recently obtained bounds. Applications in numerical integration are also given.
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A generalization of Ostrowski integral inequality for mappings whose derivatives belong to L₁[a,b], and applications for general quadrature formulae are ...
Dragomir, Sever S
core
Ostrowski Type Inequality for Absolutely Continuous Functions on Segments in Linear Spaces
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.
Dragomir, Sever S +2 more
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A companion for the Ostrowski and the generalised trapezoid inequalities
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
N. S. Barnett +2 more
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New Estimation of the Remainder in the Trapezoidal Formula with Applications
A new inequality for the trapezoidal formula in terms of p-norms is presented with applications to numerical integration and special ...
Dragomir, Sever S, Peachy, Tom C
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Three Point Identities and Inequalities for n-time Differential Functions
Identities and inequalities are obtained involving n-time differentiable functions in terms of evaluations at an interior and at the end points. It is shown how previous work is recaptured as particular instances of the current development.
Cerone, Pietro +2 more
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On Simpson's Inequality and Applications
New inequalities of Simpson type and their application to quadrature formulae in Numerical Analysis are ...
Agarwal, R. P +2 more
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A Note on Bounds for the Estimation Error Variance of a Continuous Stream With Stationary Variogram
In this paper, by the use of an Ostrowski type integral inequality for double integrals, we establish an upper bound for the estimation error variance of a continuous stream with stationary ...
Dragomir, Sever S, Barnett, Neil S
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Three Point Quadrature Rules Involving, at Most, a First Derivative
A unified treatment of three point quadrature rules is presented in which the classical rules of mid-point, trapezoidal and Simpson type are recaptured as particular cases.
Cerone, Pietro, Dragomir, Sever S
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An Inequality of Ostrowski Type For Mappings Whose Second Derivatives are Bounded and Applications
An inequality of Ostrowski type for twice differentiable mappings whose derivatives are bounded and applications in Numerical Integration and for special means (logarithmic mean, identric mean, p-logarithmic mean etc...) are ...
Roumeliotis, John +5 more
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