The author obtained new generalizations and refinements of some inequalities based on differentiable s-convex mappings in the second sense. Also, some applications to special means of real numbers are given.

References

1 Park J., Inequalities for some differentiable convex mappings, Far East Journal of Mathematical Sciences. (2010) 44, no. 2, 251–259, 2757268.
Google Scholar
2 Park J., Ostrowski type inequalities for mappings whose derivatives are (s, m)-convex in the second sense, Far East Journal of Mathematical Sciences. (2011) 49, no. 2, 181–195.
Google Scholar
3 Park J., Generalization of Ostrowski-type inequalities for differentiable real (s, m)-convex mappings, Far East Journal of Mathematical Sciences. (2010) 49, no. 2, 157–171.
Google Scholar
4 Sarikaya M. Z., Set E., and Özdemir M. E., On new inequalities of Simpson′s type for s-convex functions, Computers and Mathematics with Applications. (2010) 60, no. 8, 2191–2199, https://doi.org/10.1016/j.camwa.2010.07.033, 2725306.
10.1016/j.camwa.2010.07.033
Web of Science® Google Scholar
5 Set E., Özdemir M. E., and Sarikaya M. Z., Inequalities of Hermite-hadamard′s type for functions whose derivatives absolute values are m-convex, AIP Conference Proceedings. (2010) 1309, no. 1, 861–873.
10.1063/1.3525219
Google Scholar
6 Park J., Generalizations of some Simpson-like type inequalities via differentiable s-convex mappings in the second sense, Far East Journal of Mathematical Sciences. (2011) 54, no. 2, 201–215.
Google Scholar
7 Kirmaci U. S., Bakula M. K., Özdemir M. E., and Pečarić J., Hadamard-type inequalities for s-convex functions, Applied Mathematics and Computation. (2007) 193, no. 1, 26–35, https://doi.org/10.1016/j.amc.2007.03.030, 2385762.
10.1016/j.amc.2007.03.030
Web of Science® Google Scholar
8 Alomari M., Darus M., and Dragomir S. S., New inequalities of Simpson′s type for s-convex functions with applications, Research Group in Mathematical Inequalities and Applications. (2009) 12, no. 4.
Google Scholar
9 Dragomir S. S., Agarwal R. P., and Cerone P., On Simpson′s inequality and applications, Journal of Inequalities and Applications. (2000) 5, no. 6, 533–579, https://doi.org/10.1155/S102558340000031X, 1812572.
10.1155/S102558340000031X
Web of Science® Google Scholar

Citing Literature

All articles

Generalization of Some Simpson-Like Type Inequalities via Differentiable s-Convex Mappings in the Second Sense

Abstract

References

Citing Literature

References

Information

About Wiley Online Library

Help & Support

Opportunities

Connect with Wiley

Generalization of Some Simpson-Like Type Inequalities via Differentiable s-Convex Mappings in the Second Sense

Abstract

References

Citing Literature

References

Related

Information