Companions Of Perturbed Type Inequalities For Higher-Order Differentiable Functions
Abstract
Keywords
Convex Function,Lipschitz Continuity,Ostrowski's Inequality,Hermite-Hadamard inequality
References
- [1] Hadamard J., Etude sur les proprietes des fonctions entieres et en particulier d'une fonction consideree par Riemann, J. Math. Pures Appl., 58 (1893), 171-215.
- [2] Ostrowski A. M., Über die absolutabweichung einer differentiebaren funktion von ihrem integralmitelwert, Comment. Math. Helv. 10 (1938), 226-227.
- [3] Sarikaya M. Z. and Set E., On new Ostrowski type Integral inequalities, Thai Journal of Mathematics, 12-1 (2014), 145-154.
- [4] Dragomir S. S. and Barnett N. S., An Ostrowski type inequality for mappings whose second derivatives are bounded and applications, RGMIA Research Report Collection, 1-2
- [5] Dragomir S. S. and Sofo A., An integral inequality for twice differentiable mappings and application, Tamkang J. Math., 31-4 (2000). [6] El Farissi A., Latreuch Z. and Belaidi B., Hadamard-Type inequalities for twice diffrentiable functions, RGMIA Reseaech Report collection, 12-1 (2009), art. 6.
- [7] Dragomir S. S., Some perturbed Ostrowski type inequalities for absolutely continuous functions (I), Acta Universitatis Matthiae Belii, series Mathematics 23 (2015), 71-86.
- [8] Budak H., Sarikaya M. Z. and Dragomir S. S., Some perturbed Ostrowski type inequality for twice differentiable functions, RGMIA Research Report Collection, 19, Article 47 (2016), 14 pp.
- [9] Erden S., Budak H. and Sarikaya M. Z., Some perturbed inequalities of Ostrowski type for twice differentiable functions, RGMIA Research Report Collection, 19, Article 70 (2016), 11 pp.
- [10] Cerone P., Dragomir S. S. and Roumeliotis J., Some Ostrowski type inequalities for n-time differentiable mappings and applications, Demonstratio Math., 32-4 (1999), 697-712.
- [11] Sofo A., Integral inequalities for n- times differentiable mappings, with multiple branches, on the norm, Soochow Journal of Mathematics, 28-2 (2002), 179-221.