Note on the Ostrowski Type Inequalities for Fractional Integrals

被引：12

作者：

Sarikaya M.Z. ^{[1
]}

Filiz H. ^{[1
]}

机构：

[1] Department of Mathematics, Düzce University, Düzce

来源：

Vietnam Journal of Mathematics | 2014年 / 42卷 / 2期

关键词：

Hölder inequality; Ostrowski's inequality; Riemann-Liouville fractional integration;

D O I：

10.1007/s10013-014-0056-4

中图分类号：

学科分类号：

摘要：

In the present note, we use the Riemann-Liouville fractional integrals to establish several new inequalities for some differentiable mappings that are connected with the celebrated Ostrowski type integral inequality. © 2014 Vietnam Academy of Science and Technology (VAST) and Springer Science+Business Media Singapore.

引用

页码：187 / 190

页数：3

共 19 条

[1]

Alomari M., Darus M., Some Ostrowski type inequalities for convex functions with applications, RGMIA, 13, (2010)

[2]

Alomari M., Darus M., Dragomir S.S., Cerone P., Ostrowski type inequalities for functions whose derivatives are s-convex in the second sense, Appl. Math. Lett., 23, pp. 1071-1076, (2010)

[3]

Belarbi S., Dahmani Z., On some new fractional integral inequalities, J. Inequal. Pure Appl. Math., 10, (2009)

[4]

Dahmani Z., New inequalities in fractional integrals, Int. J. Nonlinear Sci., 9, pp. 493-497, (2010)

[5]

Dahmani Z., On Minkowski and Hermite-Hadamard integral inequalities via fractional integration, Ann. Funct. Anal., 1, pp. 51-58, (2010)

[6]

Dahmani Z., Tabharit L., Taf S., Some fractional integral inequalities, Nonlinear Sci. Lett. A, Math. Phys. Mech., 1, pp. 155-160, (2010)

[7]

Dahmani Z., Tabharit L., Taf S., New generalizations of Grüss inequality using Riemann-Liouville fractional integrals, Bull. Math. Anal. Appl., 2, pp. 93-99, (2010)

[8]

Dragomir S.S., The Ostrowski's integral inequality for Lipschitzian mappings and applications, Comput. Math. Appl., 38, pp. 33-37, (1999)

[9]

Liu Z., Some companions of an Ostrowski type inequality and application, J. Inequal. Pure Appl. Math., 10, (2009)

[10]

Ostrowski A.M., Über die absolutabweichung einer differentiebaren funktion von ihrem integralmitelwert, Comment. Math. Helv., 10, pp. 226-227, (1938)

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