Research Article

On the Hermite-Hadamard-Fejér type integral inequality for s-convex function

Volume: 6 Number: 1 April 15, 2018
EN

On the Hermite-Hadamard-Fejér type integral inequality for s-convex function

Abstract

In this paper, we extend some estimates of the right hand side of a Hermite- Hadamard-Fejér type inequality for functions whose first derivatives absolute values are s-convex.The results presented here would provide extensions of those given in earlier works.



Keywords

References

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  2. [2] Z. Dahmani, On Minkowski and Hermite-Hadamard integral inequalities via fractional integration, Ann. Funct. Anal. 1(1) (2010), 51-58.
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  4. [4] S. S. Dragomir and S. Fitzpatrik, The Hadamard’s inequality for s-convex functions in the second sense, Demonstration Math. 32(4), (1999), 687-696.
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  6. [6] S. S. Dragomir and C. E. M. Pearce, Selected Topics on Hermite-Hadamard Inequalities and Applications, RGMIA Monographs, Victoria University, 2000.
  7. [7] L. Fejer, U¨ ber die Fourierreihen, II. Math. Naturwiss. Anz Ungar. Akad. Wiss., 24 (1906), 369–390. (Hungarian).
  8. [8] I. Iscan, Hermite-Hadamard-Fejer type inequalities for convex functions via fractional integrals, arXiv preprint arXiv: 1404. 7722 (2014).

Details

Primary Language

English

Subjects

Engineering

Journal Section

Research Article

Authors

Fatma Ertuğral This is me

Fatma Yıldırım This is me

Publication Date

April 15, 2018

Submission Date

April 10, 2018

Acceptance Date

April 16, 2018

Published in Issue

Year 2018 Volume: 6 Number: 1

APA
Sarıkaya, M. Z., Ertuğral, F., & Yıldırım, F. (2018). On the Hermite-Hadamard-Fejér type integral inequality for s-convex function. Konuralp Journal of Mathematics, 6(1), 35-41. https://izlik.org/JA74XA94HK
AMA
1.Sarıkaya MZ, Ertuğral F, Yıldırım F. On the Hermite-Hadamard-Fejér type integral inequality for s-convex function. Konuralp J. Math. 2018;6(1):35-41. https://izlik.org/JA74XA94HK
Chicago
Sarıkaya, Mehmet Zeki, Fatma Ertuğral, and Fatma Yıldırım. 2018. “On the Hermite-Hadamard-Fejér Type Integral Inequality for S-Convex Function”. Konuralp Journal of Mathematics 6 (1): 35-41. https://izlik.org/JA74XA94HK.
EndNote
Sarıkaya MZ, Ertuğral F, Yıldırım F (April 1, 2018) On the Hermite-Hadamard-Fejér type integral inequality for s-convex function. Konuralp Journal of Mathematics 6 1 35–41.
IEEE
[1]M. Z. Sarıkaya, F. Ertuğral, and F. Yıldırım, “On the Hermite-Hadamard-Fejér type integral inequality for s-convex function”, Konuralp J. Math., vol. 6, no. 1, pp. 35–41, Apr. 2018, [Online]. Available: https://izlik.org/JA74XA94HK
ISNAD
Sarıkaya, Mehmet Zeki - Ertuğral, Fatma - Yıldırım, Fatma. “On the Hermite-Hadamard-Fejér Type Integral Inequality for S-Convex Function”. Konuralp Journal of Mathematics 6/1 (April 1, 2018): 35-41. https://izlik.org/JA74XA94HK.
JAMA
1.Sarıkaya MZ, Ertuğral F, Yıldırım F. On the Hermite-Hadamard-Fejér type integral inequality for s-convex function. Konuralp J. Math. 2018;6:35–41.
MLA
Sarıkaya, Mehmet Zeki, et al. “On the Hermite-Hadamard-Fejér Type Integral Inequality for S-Convex Function”. Konuralp Journal of Mathematics, vol. 6, no. 1, Apr. 2018, pp. 35-41, https://izlik.org/JA74XA94HK.
Vancouver
1.Mehmet Zeki Sarıkaya, Fatma Ertuğral, Fatma Yıldırım. On the Hermite-Hadamard-Fejér type integral inequality for s-convex function. Konuralp J. Math. [Internet]. 2018 Apr. 1;6(1):35-41. Available from: https://izlik.org/JA74XA94HK
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