ON SOME NEW INEQUALITIES FOR s-CONVEX FUNCTIONS

Volume: 9 Number: 1 March 1, 2019
  • Mehmet Eyup Kırıs
  • Hasan Kara
EN

ON SOME NEW INEQUALITIES FOR s-CONVEX FUNCTIONS

Abstract

In this paper, we establish a few new generalization of Hermite-Hadamard inequality using s-convex functions in the 2nd sense. For this purpose we used some special inequalities like Holder's.

Keywords

References

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  3. [3] Kırmacı U.S., (2004), Inequalities for differentiable mappings and applications to special means of real numbers and to midpoint formula, Appl. Math. Comp., 147, 137-146
  4. [4] Dragomir S. S. and Agarwal R.P., (1998), Two inequalities for differentiable mappings and applications to special means of real numbers and to trapezoidal formula, Appl. Math. Lett., 11 (5), 91-95.
  5. [5] Bakula M. K. and Peˇcari´c J., (2004), Note on some Hadamard-type inequalities, Journal of Inequalities in Pure and Applied Mathematics, vol. 5, no. 3, article 74.
  6. [6] Set E., Ozdemir M. E., and Dragomir S. S., (2010), ¨ On Hadamard-Type inequalities involving several kinds of convexity, Journal of Inequalities and Applications, Article ID 286845, 12 pages.
  7. [7] Cristescu G. and Lup¸sa L., (2002), Non-connected convexities and applications, Kluwer Academic Publishers, Dordrecht / Boston / London.
  8. [8] Dragomir S.S. and Fitzpatrick S., (1999), The Hadamard’S inequality for s-convex functions in the second sense. Demonstratio Mathematica, 32(4): 687-696

Details

Primary Language

English

Subjects

-

Journal Section

-

Authors

Mehmet Eyup Kırıs This is me

Hasan Kara This is me

Publication Date

March 1, 2019

Submission Date

-

Acceptance Date

-

Published in Issue

Year 2019 Volume: 9 Number: 1

APA
Kırıs, M. E., & Kara, H. (2019). ON SOME NEW INEQUALITIES FOR s-CONVEX FUNCTIONS. TWMS Journal of Applied and Engineering Mathematics, 9(1), 101-113. https://izlik.org/JA28LE34BM
AMA
1.Kırıs ME, Kara H. ON SOME NEW INEQUALITIES FOR s-CONVEX FUNCTIONS. JAEM. 2019;9(1):101-113. https://izlik.org/JA28LE34BM
Chicago
Kırıs, Mehmet Eyup, and Hasan Kara. 2019. “ON SOME NEW INEQUALITIES FOR S-CONVEX FUNCTIONS”. TWMS Journal of Applied and Engineering Mathematics 9 (1): 101-13. https://izlik.org/JA28LE34BM.
EndNote
Kırıs ME, Kara H (March 1, 2019) ON SOME NEW INEQUALITIES FOR s-CONVEX FUNCTIONS. TWMS Journal of Applied and Engineering Mathematics 9 1 101–113.
IEEE
[1]M. E. Kırıs and H. Kara, “ON SOME NEW INEQUALITIES FOR s-CONVEX FUNCTIONS”, JAEM, vol. 9, no. 1, pp. 101–113, Mar. 2019, [Online]. Available: https://izlik.org/JA28LE34BM
ISNAD
Kırıs, Mehmet Eyup - Kara, Hasan. “ON SOME NEW INEQUALITIES FOR S-CONVEX FUNCTIONS”. TWMS Journal of Applied and Engineering Mathematics 9/1 (March 1, 2019): 101-113. https://izlik.org/JA28LE34BM.
JAMA
1.Kırıs ME, Kara H. ON SOME NEW INEQUALITIES FOR s-CONVEX FUNCTIONS. JAEM. 2019;9:101–113.
MLA
Kırıs, Mehmet Eyup, and Hasan Kara. “ON SOME NEW INEQUALITIES FOR S-CONVEX FUNCTIONS”. TWMS Journal of Applied and Engineering Mathematics, vol. 9, no. 1, Mar. 2019, pp. 101-13, https://izlik.org/JA28LE34BM.
Vancouver
1.Mehmet Eyup Kırıs, Hasan Kara. ON SOME NEW INEQUALITIES FOR s-CONVEX FUNCTIONS. JAEM [Internet]. 2019 Mar. 1;9(1):101-13. Available from: https://izlik.org/JA28LE34BM