References
- A.M. Ostrowski, Uber die absolutabweichung einer differentiebaren funktion von ihrem integralmitelwert, Commentarii Mathematici Helvetici 10 (1938), 226-227.
- D.S. Mitrinovic, J.E. Pecaric and A.M. Fink, Inequalities involving functions and their integrals and derivatives 53, Kluwer Academic Publishers, Dordrecht, The Netherlands, 1991.
- P. Cerone and S.S. Dragomir, Trapezoidal-type rules from an inequalities point of view, in Handbook of Analytic-Computational Methods in Applied Mathematics, pp. 65-134, Chapman & Hall/CRC, Boca Raton, Fla, USA, 2000.
- J. Duoandikoetxea, A unified approach to several inequalities involving functions and derivatives, Czechoslovak Mathematical Journal 51 (2001), 363-376. https://doi.org/10.1023/A:1013703215722
- S.S. Dragomir and N.S. Barnett, An ostrowski type inequality for mappings whose second derivatives are bounded and applications, RGMIA Research Report Collection 1 (1999), 67-76.
- S.S. Dragomir, An ostrowski type inequality for convex functions, Univerzitet u Beogradu Publikacije Elektrotehnickog Fakulteta Serija Matematika 16 (2005), 12-25.
- Z. Liu, Some companions of an ostrowski type inequality and applications, Journal of Inequalities in Pure and Applied Mathematics 10 (2009), Article 52, 12 pages.
- M.Z. Sarikaya, On the ostrowski type integral inequality, Acta Mathematica Universitatis Comenianae 79 (2010), 129-134.
- M.Z. Sarikaya, On the ostrowski type integral inequality for double integrals, Demonstratio Mathematica 45 (2012), 533-540.
- M.Z. Sarikaya and H. Ogunmez, On the weighted ostrowski-type integral inequality for double integrals, Arabian Journal for Science and Engineering 36 (2011), 1153-1160. https://doi.org/10.1007/s13369-011-0102-4
- R. Gorenflo and F. Mainardi, Fractional calculus: Integral and Differentiable Equations of Fractional Order, Springer, Wien, Austria, 1997.
- S.G. Samko, A.A. Kilbas and O.I. Marichev, Fractional Integrals and Derivatives Theory and Application, Gordan and Breach Science, New York, NY, USA, 1993.
- G. Anastassiou, M.R. Hooshmandasl, A. Ghasemi and F. Moftakharzadeh, Montgomery identities for fractional integrals and related fractional inequalities, Journal of Inequalities in Pure and Applied Mathematics 10 (2009), Article 97, 6 pages.
- S. Belarbi and Z. Dahmani, On some new fractional integral inequalities, Journal of Inequalities in Pure and Applied Mathematics 10 (2009), Article 86, 5 pages.
- Z. Dahmani, L. Tabharit and S. Taf, Some fractional integral inequalities, Nonlinear Science Letters 2 (2010), 155-160.
- Z. Dahmani, L. Tabharit and S. Taf, New inequalities via Niemann-Trouvaille fractional integration, Journal of Advanced Research in Scientific Computing 2 (2010), 40-45.
- K. Diethelm, The Analysis of Fractional Differential Equations, Lecture Notes in Mathematics, Springer, Berlin, 2010.
- Z. Dahmani, New inequalities in fractional integrals, International Journal of Nonlinear Science 9 (2010), 493-497.
- I. Podlubny, Fractional Differential Equations, Academic Press, San Diego, 1999.
- M.Z. Sarikaya, E. Set, H. Yaldiz and N. Basak, Hermite Hadamard's inequalities for fractional integrals and related fractional inequalities, Math. Comput. Model. 57(2013), 2403-2407. https://doi.org/10.1016/j.mcm.2011.12.048
- M. Tunc and H. Yildirim, On MT-convexity, arXiv:1205.5453v1 [math.CA].
- S. Qaisar, C. He and S. Hussain, On New Inequalities of Hermite-Hadamard type for generalized Convex Functions, Italian journal of Pure and Applied Mathematics 33 (2014), 139-148.
- S. Qaisar and S. Hussain, Some results on Hermite-Hadamard type inequality through convexity. Turkish J. Anal. Num. Theo. 2(2) (2014), 53-59. https://doi.org/10.12691/tjant-2-2-5
- S. Qaisar, C. He and S. Hussain, New integral inequalities through invexity with applications, International Journal of Analysis and Applications 5 (2014), 115-122.
-
S. Qaisar, C. He and S. Hussain, A generalization of Simpson's type inequality for differentiable functions using (
${\alpha}$ , m)- convex function and applications, Journal of Inequalities and Applications 158 (2013), 13 pages. - S. Hussain and S. Qaisar, Generalization of Simpson's type inequality through preinvexity and prequasiinvexity, Punjab University Journal of Mathematics 46 (2014), 1-9.