ON SOME INTEGRAL INEQUALITIES FOR s;m -CONVEX FUNCTIONS

Volume: 10 Number: 2 March 1, 2020
  • B. Bayraktar
  • M. Gürbüz
EN

ON SOME INTEGRAL INEQUALITIES FOR s;m -CONVEX FUNCTIONS

Abstract

A new identity has been handled in this paper. It allows to derive new inequalities referring to upper estimation of the Jensen functional in the class of s, m - convex functions. Also some applications for special means are given by using new inequalities.

Keywords

References

  1. Dragomir, S. S., Agarwal, R. P., & Barnet, N. S. (2000) Inequalities for Beta and Gamma Functions via Some Classical and New Integral Inequalities. J. Ineq. Appl., 5, (2), 103-165.
  2. Dragomir, S. S., & Pearce, C.E.M. (2000). Selected Topics on Hermite-Hadamard Inequalities and Applications. RGMIA Monographs
  3. Victoria University,[ONLINE. http://rgmia.org/papers/monographs/Master.pdf]. Breckner, W. W. (1978). Stetigkeitsaussagen f¨ur eine klasse verallgemeinerter konvexer funktionen in topologischen linearen r¨aumen. Publ. Inst. Math, 23 (37), 13-20.
  4. Kirmaci, U. S. (2017), On Some Hermite-Hadamard Type Inequalities for Twice Differentiable (α, m)- convex functions and Applications. RGMIA Res. Rep. Coll., 20, Art. 51.
  5. ¨Ozdemir, M. E., Avci, M., & H. Kavurmaci. (2011). Hermite-Hadamard-type Inequalities via (α, m)- convexity. Computer and Math. with Appl., 61, 2614-2620.
  6. Park, J. (2011). Generalization of Ostrowski-type inequalities for differentiable real (s, m)-convex mappings. Far East J. of Math. Sci., 49(2), 157-171.
  7. Park, J. (2011). Ostrowski type inequalities for mappings whose derivatives are (s, m) −convex in the second sense. Far East J. of Math. Sci., 49 (2), 181-195.
  8. Sarikaya, M. Z., & Aktan, N. (2011). On the generalization of some integral inequalities and their applications. Math. and Comp. Modelling, 54, 2175-2182.

Details

Primary Language

English

Subjects

-

Journal Section

-

Authors

B. Bayraktar This is me

M. Gürbüz This is me

Publication Date

March 1, 2020

Submission Date

-

Acceptance Date

-

Published in Issue

Year 2020 Volume: 10 Number: 2

APA
Bayraktar, B., & Gürbüz, M. (2020). ON SOME INTEGRAL INEQUALITIES FOR s;m -CONVEX FUNCTIONS. TWMS Journal of Applied and Engineering Mathematics, 10(2), 288-295. https://izlik.org/JA73AW47SC
AMA
1.Bayraktar B, Gürbüz M. ON SOME INTEGRAL INEQUALITIES FOR s;m -CONVEX FUNCTIONS. JAEM. 2020;10(2):288-295. https://izlik.org/JA73AW47SC
Chicago
Bayraktar, B., and M. Gürbüz. 2020. “ON SOME INTEGRAL INEQUALITIES FOR S;M -CONVEX FUNCTIONS”. TWMS Journal of Applied and Engineering Mathematics 10 (2): 288-95. https://izlik.org/JA73AW47SC.
EndNote
Bayraktar B, Gürbüz M (March 1, 2020) ON SOME INTEGRAL INEQUALITIES FOR s;m -CONVEX FUNCTIONS. TWMS Journal of Applied and Engineering Mathematics 10 2 288–295.
IEEE
[1]B. Bayraktar and M. Gürbüz, “ON SOME INTEGRAL INEQUALITIES FOR s;m -CONVEX FUNCTIONS”, JAEM, vol. 10, no. 2, pp. 288–295, Mar. 2020, [Online]. Available: https://izlik.org/JA73AW47SC
ISNAD
Bayraktar, B. - Gürbüz, M. “ON SOME INTEGRAL INEQUALITIES FOR S;M -CONVEX FUNCTIONS”. TWMS Journal of Applied and Engineering Mathematics 10/2 (March 1, 2020): 288-295. https://izlik.org/JA73AW47SC.
JAMA
1.Bayraktar B, Gürbüz M. ON SOME INTEGRAL INEQUALITIES FOR s;m -CONVEX FUNCTIONS. JAEM. 2020;10:288–295.
MLA
Bayraktar, B., and M. Gürbüz. “ON SOME INTEGRAL INEQUALITIES FOR S;M -CONVEX FUNCTIONS”. TWMS Journal of Applied and Engineering Mathematics, vol. 10, no. 2, Mar. 2020, pp. 288-95, https://izlik.org/JA73AW47SC.
Vancouver
1.B. Bayraktar, M. Gürbüz. ON SOME INTEGRAL INEQUALITIES FOR s;m -CONVEX FUNCTIONS. JAEM [Internet]. 2020 Mar. 1;10(2):288-95. Available from: https://izlik.org/JA73AW47SC