SOME COMPANIONS OF OSTROWSKI'S INEQUALITY FOR ABSOLUTELY CONTINUOUS FUNCTIONS AND APPLICATIONS

Title & Authors
SOME COMPANIONS OF OSTROWSKI'S INEQUALITY FOR ABSOLUTELY CONTINUOUS FUNCTIONS AND APPLICATIONS
DRAGOMIR S. S.;

Abstract
Companions of Ostrowski's integral inequality for absolutely continuous functions and applications for composite quadrature rules and for p.d.J.'s are provided.
Keywords
Ostrowski's inequality;trapezoid rule;midpoint rule;
Language
English
Cited by
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2.
Approximating the Finite Hilbert Transform via Some Companions of Ostrowski’s Inequalities, Bulletin of the Malaysian Mathematical Sciences Society, 2016, 39, 4, 1499
3.
Two-Point Ostrowski’s Inequality, Results in Mathematics, 2017
4.
Approximating the finite Hilbert transform via a companion of Ostrowski’s inequality for function of bounded variation and applications, Applied Mathematics and Computation, 2014, 247, 373
5.
A companion of Ostrowski’s inequality for the Riemann–Stieltjes integral , where f is of bounded variation and u is of r-H-Hölder type and applications, Applied Mathematics and Computation, 2013, 219, 9, 4792
6.
A companion of Dragomir’s generalization of the Ostrowski inequality and applications to numerical integration, Ukrainian Mathematical Journal, 2012, 64, 4, 491
References
1.
A. Guessab and G. Schmeisser, Sharp integral inequalities of the Hermite- Hadamard type, J. Approx. Theory 115 (2002), 260-288

2.
S. S. Dragomir and Th. M. Rassias (Ed.), Ostrowski type inequalities and applications in numerical integration, Kluwer Academic Publishers, Dor-drecht/Boston/London, 2002

3.
S. S. Dragomir, A refinement of Ostrowski's inequality for absolutely continuous functions whose derivatives belong to $L_{\infty}$ and applications, Libertas Math. 22 (2002), 49-64