Research Article

SOME NEW INEQUALITIES OF HERMITE-HADAMARD-FEJER TYPE FOR $s$-CONVEX FUNCTIONS

Volume: 4 Number: 2 October 1, 2016
EN

SOME NEW INEQUALITIES OF HERMITE-HADAMARD-FEJER TYPE FOR $s$-CONVEX FUNCTIONS

Abstract

In this paper, we establish some new inequalities for differentiable mappings whose derivatives in absolute value are $s-$convex in the second sense. These results are connected with the celebrated Hermite-Hadamard-Fejer type integral inequality.

Keywords

References

  1. [1] S.S. Dragomir and S. Fitzpatrik, The Hadamard's inequality for s-convex functions in the second sense, Demons. Math., 32(4) (1999), 687-696.
  2. [2] M. Bombardelli, S. Varosanec, Properties of h-convex functions related to the Hermite-Hadamard-Fejer inequalities, Comp. Math. App., 58 (2009), 1869-1877.
  3. [3] P. Cerone, S.S. Dragomir and C.E.M. Pearce, A generalized trapezoid inequality for functions of bounded variation, Turkish J. Math. 24 (2000), 147-163.
  4. [4] S.S. Dragomir, Tow mappings in connection to Hadamard's inequalities, J. Math. Anal. Appl. 167 (1992), 49-56.
  5. [5] S.S. Dragomir, Hermite-Hadamard's type inequalities for operator convexs functions, Appl. Math. Comp. 218 (2011), 766-772.
  6. [6] S.S. Dragomir, P. Cerone and A. Sofo, Some remarks on the trapezoid rule in numerical integration, Indian J. Pure Appl. Math. 31 (2000), 475-494.
  7. [7] S.S. Dragomir, C.E.M. Pearce, Selected topics on Hermite-Hadamard inequalities and applications, RGMIA monographs, Victoria University, 2000. [Online: http://ajmaa.org/RGMIA/monographs.php].
  8. [8] L. Fejer, Ueber die Fourierreihen, II, Math. Naturwiss. Anz Ungar. Akad., Wiss, 24 (1906), 369-390,

Details

Primary Language

English

Subjects

Engineering

Journal Section

Research Article

Authors

Publication Date

October 1, 2016

Submission Date

July 9, 2015

Acceptance Date

-

Published in Issue

Year 2016 Volume: 4 Number: 2

APA
Yıldız, Ç. (2016). SOME NEW INEQUALITIES OF HERMITE-HADAMARD-FEJER TYPE FOR $s$-CONVEX FUNCTIONS. Konuralp Journal of Mathematics, 4(2), 70-78. https://izlik.org/JA32KU53ZY
AMA
1.Yıldız Ç. SOME NEW INEQUALITIES OF HERMITE-HADAMARD-FEJER TYPE FOR $s$-CONVEX FUNCTIONS. Konuralp J. Math. 2016;4(2):70-78. https://izlik.org/JA32KU53ZY
Chicago
Yıldız, ÇETİN. 2016. “SOME NEW INEQUALITIES OF HERMITE-HADAMARD-FEJER TYPE FOR $s$-CONVEX FUNCTIONS”. Konuralp Journal of Mathematics 4 (2): 70-78. https://izlik.org/JA32KU53ZY.
EndNote
Yıldız Ç (October 1, 2016) SOME NEW INEQUALITIES OF HERMITE-HADAMARD-FEJER TYPE FOR $s$-CONVEX FUNCTIONS. Konuralp Journal of Mathematics 4 2 70–78.
IEEE
[1]Ç. Yıldız, “SOME NEW INEQUALITIES OF HERMITE-HADAMARD-FEJER TYPE FOR $s$-CONVEX FUNCTIONS”, Konuralp J. Math., vol. 4, no. 2, pp. 70–78, Oct. 2016, [Online]. Available: https://izlik.org/JA32KU53ZY
ISNAD
Yıldız, ÇETİN. “SOME NEW INEQUALITIES OF HERMITE-HADAMARD-FEJER TYPE FOR $s$-CONVEX FUNCTIONS”. Konuralp Journal of Mathematics 4/2 (October 1, 2016): 70-78. https://izlik.org/JA32KU53ZY.
JAMA
1.Yıldız Ç. SOME NEW INEQUALITIES OF HERMITE-HADAMARD-FEJER TYPE FOR $s$-CONVEX FUNCTIONS. Konuralp J. Math. 2016;4:70–78.
MLA
Yıldız, ÇETİN. “SOME NEW INEQUALITIES OF HERMITE-HADAMARD-FEJER TYPE FOR $s$-CONVEX FUNCTIONS”. Konuralp Journal of Mathematics, vol. 4, no. 2, Oct. 2016, pp. 70-78, https://izlik.org/JA32KU53ZY.
Vancouver
1.ÇETİN Yıldız. SOME NEW INEQUALITIES OF HERMITE-HADAMARD-FEJER TYPE FOR $s$-CONVEX FUNCTIONS. Konuralp J. Math. [Internet]. 2016 Oct. 1;4(2):70-8. Available from: https://izlik.org/JA32KU53ZY
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