Citation: Naila Mehreen, Matloob Anwar. Ostrowski type inequalities via some exponentially convex functions with applications[J]. AIMS Mathematics, 2020, 5(2): 1476-1483. doi: 10.3934/math.2020101
[1] | M. Alomari, M. Darus, S. S. Dragomir, et al. Ostrowski type inequalities for functions whose derivatives are s-convex in the second sense, Appl. Math. Lett., 23 (2010), 1071-1076. doi: 10.1016/j.aml.2010.04.038 |
[2] | M. U. Awan, M. A. Noor, K. I. Noor, Hermite-Hadamard inequalities for exponentially convex functions, Appl. Math. Inf. Sci., 12 (2018), 405-409. doi: 10.18576/amis/120215 |
[3] | P. Cerone, S. S. Dragomir, Ostrowski type inequalities for functions whose derivatives satisfy certain convexity assumptions, Demonstratio Math., 37 (2004), 299-308. |
[4] | S. S. Dragomir, Th. M. Rassias, Ostrowski Type Inequalities and Applications in Numerical Integration, Kluwer Academic Publishers, Dordrecht, Boston, London, 2002. |
[5] | S. S. Dragomir, Some Companions of Ostrowski's inequality for absplutely continuous functions and applications, Facta Universitatis, Ser. Math. Inform., 19 (2004), 1-16. |
[6] | S. S. Dragomir and S. Wang, Applications of Ostrowski's inequality to the estimation of error bounds for some special means and for some numerical quadrature rules, Appl. Math. Lett., 11 (1998), 105-109. |
[7] | N. Mehreen, M. Anwar, Hermite-Hadamard type inequalities for exponentially p-convex functions and exponentially s-convex functions in the second sense with applications, J. Inequal. Appl., 2019 (2019), 92. |
[8] | M. E. Ozdemir, H. Kavurmacı, E. Set, Ostrowski's type inequalities for (α, m)-convex functions, Kyungpook Math. J., 50 (2010), 371-378. doi: 10.5666/KMJ.2010.50.3.371 |
[9] | B. G. Pachpatte, On an inequality of Ostrowski type in three independent variables, J. Math. Anal. Appl., 249 (2000), 583-591. doi: 10.1006/jmaa.2000.6913 |
[10] | E. Set, New inequalities of Ostrowski type for mappings whose derivatives are s-convex in the second sense via fractional integrals, Comput. Math. Appl., 63 (2012), 1147-1154. doi: 10.1016/j.camwa.2011.12.023 |