Research Article

Generalized Simpson Type Integral Inequalities

Volume: 7 Number: 1 April 15, 2019
EN

Generalized Simpson Type Integral Inequalities

Abstract

In this paper, we have established some generalized Simpson type inequalities for convex functions. Furthermore, inequalities obtained in special case present a refinement and improvement of previously known results.


Keywords

References

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  5. [5] T. Du, Y. Li and Z. Yang, A generalization of Simpson’s inequality via differentiable mapping using extended (s;m)-convex functions, Applied Mathematics and Computation 293 (2017) 358–369
  6. [6] S. Hussain and S. Qaisar, More results on Simpson’s type inequality through convexity for twice differentiable continuous mappings. Springer Plus (2016), 5:77.
  7. [7] B.Z. Liu, An inequality of Simpson type, Proc. R. Soc. A, 461 (2005), 2155-2158.
  8. [8] J. Pecaric, F. Proschan and Y.L. Tong, Convex functions, partial ordering and statistical applications, Academic Press, New York, 1991.

Details

Primary Language

English

Subjects

Engineering

Journal Section

Research Article

Authors

Sakine Bardak This is me

Publication Date

April 15, 2019

Submission Date

March 13, 2019

Acceptance Date

March 21, 2019

Published in Issue

Year 2019 Volume: 7 Number: 1

APA
Sarıkaya, M. Z., & Bardak, S. (2019). Generalized Simpson Type Integral Inequalities. Konuralp Journal of Mathematics, 7(1), 186-191. https://izlik.org/JA72LS44YB
AMA
1.Sarıkaya MZ, Bardak S. Generalized Simpson Type Integral Inequalities. Konuralp J. Math. 2019;7(1):186-191. https://izlik.org/JA72LS44YB
Chicago
Sarıkaya, Mehmet Zeki, and Sakine Bardak. 2019. “Generalized Simpson Type Integral Inequalities”. Konuralp Journal of Mathematics 7 (1): 186-91. https://izlik.org/JA72LS44YB.
EndNote
Sarıkaya MZ, Bardak S (April 1, 2019) Generalized Simpson Type Integral Inequalities. Konuralp Journal of Mathematics 7 1 186–191.
IEEE
[1]M. Z. Sarıkaya and S. Bardak, “Generalized Simpson Type Integral Inequalities”, Konuralp J. Math., vol. 7, no. 1, pp. 186–191, Apr. 2019, [Online]. Available: https://izlik.org/JA72LS44YB
ISNAD
Sarıkaya, Mehmet Zeki - Bardak, Sakine. “Generalized Simpson Type Integral Inequalities”. Konuralp Journal of Mathematics 7/1 (April 1, 2019): 186-191. https://izlik.org/JA72LS44YB.
JAMA
1.Sarıkaya MZ, Bardak S. Generalized Simpson Type Integral Inequalities. Konuralp J. Math. 2019;7:186–191.
MLA
Sarıkaya, Mehmet Zeki, and Sakine Bardak. “Generalized Simpson Type Integral Inequalities”. Konuralp Journal of Mathematics, vol. 7, no. 1, Apr. 2019, pp. 186-91, https://izlik.org/JA72LS44YB.
Vancouver
1.Mehmet Zeki Sarıkaya, Sakine Bardak. Generalized Simpson Type Integral Inequalities. Konuralp J. Math. [Internet]. 2019 Apr. 1;7(1):186-91. Available from: https://izlik.org/JA72LS44YB
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