Certain Ostrowski type inequalities for generalized \(s\)-convex functions
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Authors
Muharrem Tomar
- Department of Mathematics, Faculty of Arts and Sciences, Ordu University, 52200 Ordu, Turkey.
Praveen Agarwal
- Department of Mathematics, Anand International College of Engineering, Jaipur-303012, India.
- Department of Mathematics, Ahi Evran University, 40100 Kırsehir, Turkey.
Mohamed Jleli
- Department of Mathematics, King Saud University, Riyadh-11451, Saudi Arabia.
Bessem Samet
- Department of Mathematics, King Saud University, Riyadh-11451, Saudi Arabia.
Abstract
In this paper, we first obtain a generalized integral identity for twice local
differentiable functions. Then, using functions whose second derivatives in absolute value
at certain powers are generalized \(s\)-convex in the second sense, we obtain some new Ostrowski type inequalities.
Share and Cite
ISRP Style
Muharrem Tomar, Praveen Agarwal, Mohamed Jleli, Bessem Samet, Certain Ostrowski type inequalities for generalized \(s\)-convex functions, Journal of Nonlinear Sciences and Applications, 10 (2017), no. 11, 5947--5957
AMA Style
Tomar Muharrem, Agarwal Praveen, Jleli Mohamed, Samet Bessem, Certain Ostrowski type inequalities for generalized \(s\)-convex functions. J. Nonlinear Sci. Appl. (2017); 10(11):5947--5957
Chicago/Turabian Style
Tomar, Muharrem, Agarwal, Praveen, Jleli, Mohamed, Samet, Bessem. "Certain Ostrowski type inequalities for generalized \(s\)-convex functions." Journal of Nonlinear Sciences and Applications, 10, no. 11 (2017): 5947--5957
Keywords
- Generalized \(s\)-convex functions
- generalized Hermite-Hadamard inequality
- generalized Hölder inequality
MSC
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