Research Article

HERMITE-HADAMARD TYPE INEQUALITIES FOR h-CONVEX FUNCTIONS VIA FRACTIONAL INTEGRALS

Volume: 4 Number: 1 April 1, 2016
EN

HERMITE-HADAMARD TYPE INEQUALITIES FOR h-CONVEX FUNCTIONS VIA FRACTIONAL INTEGRALS

Abstract

By making use of identity of the established by Sarkaya [4], some new Hermite-Hadamard type inequalities for Riemann-Liouville fractional integral are established. Our results are the generalizations of the results obtain by Sarkaya [4].

Keywords

References

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  2. [2] S. Belarbi, Z. Dahmani, On some new fractional integral inequalities, J. Ineq. Pure Appl. Math. 10 (3) (2009) Art. 86.
  3. [3] Z. Dahmani, New inequalities in fractional integrals, Int. J. Nonlinear Sci. 9 (4) (2010) 493{ 497.
  4. [4] Z. Dahmani, On Minkowski and Hermite{Hadamard integral inequalities via fractional integration, Ann. Funct. Anal. 1 (1) (2010) 51{58.
  5. [5] Z. Dahmani, L. Tabharit, S. Taf, Some fractional integral inequalities, Nonlinear. Sci. Lett. A 1 (2) (2010) 155{160.
  6. [6] S.S. Dragomir J.Pecaric and L.E.Persson, Some inequalities of Hadamard type, Soochow J. Math 21 (1995), 335-241.
  7. [7] H.Hudzik, L.Maligranda, Some remarks on s􀀀convex functions, Aequationes Math., 48 (1994) 100-111.
  8. [8] U.S. Krmac Inequalities for di erentiable mappings and applicatons to special means of real numbers and to midpoint formula, Appl. Math. Comp., 147 (2004), 137-146.

Details

Primary Language

English

Subjects

Engineering

Journal Section

Research Article

Authors

Erhan Set *
Türkiye

Filiz Karakoç This is me
Türkiye

Publication Date

April 1, 2016

Submission Date

July 10, 2014

Acceptance Date

-

Published in Issue

Year 2016 Volume: 4 Number: 1

APA
Set, E., Sarıkaya, M. Z., & Karakoç, F. (2016). HERMITE-HADAMARD TYPE INEQUALITIES FOR h-CONVEX FUNCTIONS VIA FRACTIONAL INTEGRALS. Konuralp Journal of Mathematics, 4(1), 254-260. https://izlik.org/JA56JT88FT
AMA
1.Set E, Sarıkaya MZ, Karakoç F. HERMITE-HADAMARD TYPE INEQUALITIES FOR h-CONVEX FUNCTIONS VIA FRACTIONAL INTEGRALS. Konuralp J. Math. 2016;4(1):254-260. https://izlik.org/JA56JT88FT
Chicago
Set, Erhan, Mehmet Zeki Sarıkaya, and Filiz Karakoç. 2016. “HERMITE-HADAMARD TYPE INEQUALITIES FOR H-CONVEX FUNCTIONS VIA FRACTIONAL INTEGRALS”. Konuralp Journal of Mathematics 4 (1): 254-60. https://izlik.org/JA56JT88FT.
EndNote
Set E, Sarıkaya MZ, Karakoç F (April 1, 2016) HERMITE-HADAMARD TYPE INEQUALITIES FOR h-CONVEX FUNCTIONS VIA FRACTIONAL INTEGRALS. Konuralp Journal of Mathematics 4 1 254–260.
IEEE
[1]E. Set, M. Z. Sarıkaya, and F. Karakoç, “HERMITE-HADAMARD TYPE INEQUALITIES FOR h-CONVEX FUNCTIONS VIA FRACTIONAL INTEGRALS”, Konuralp J. Math., vol. 4, no. 1, pp. 254–260, Apr. 2016, [Online]. Available: https://izlik.org/JA56JT88FT
ISNAD
Set, Erhan - Sarıkaya, Mehmet Zeki - Karakoç, Filiz. “HERMITE-HADAMARD TYPE INEQUALITIES FOR H-CONVEX FUNCTIONS VIA FRACTIONAL INTEGRALS”. Konuralp Journal of Mathematics 4/1 (April 1, 2016): 254-260. https://izlik.org/JA56JT88FT.
JAMA
1.Set E, Sarıkaya MZ, Karakoç F. HERMITE-HADAMARD TYPE INEQUALITIES FOR h-CONVEX FUNCTIONS VIA FRACTIONAL INTEGRALS. Konuralp J. Math. 2016;4:254–260.
MLA
Set, Erhan, et al. “HERMITE-HADAMARD TYPE INEQUALITIES FOR H-CONVEX FUNCTIONS VIA FRACTIONAL INTEGRALS”. Konuralp Journal of Mathematics, vol. 4, no. 1, Apr. 2016, pp. 254-60, https://izlik.org/JA56JT88FT.
Vancouver
1.Erhan Set, Mehmet Zeki Sarıkaya, Filiz Karakoç. HERMITE-HADAMARD TYPE INEQUALITIES FOR h-CONVEX FUNCTIONS VIA FRACTIONAL INTEGRALS. Konuralp J. Math. [Internet]. 2016 Apr. 1;4(1):254-60. Available from: https://izlik.org/JA56JT88FT
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