Research Article

ON NEW INEQUALITIES OF HERMITE-HADAMARD-FEJER TYPE FOR GA-s CONVEX FUNCTIONS VIA FRACTIONAL INTEGRALS

Volume: 4 Number: 1 April 1, 2016
EN

ON NEW INEQUALITIES OF HERMITE-HADAMARD-FEJER TYPE FOR GA-s CONVEX FUNCTIONS VIA FRACTIONAL INTEGRALS

Abstract

In this paper, some Hermite-Hadamard-Fejer type integral in- equalities for GA-s convex functions in fractional integral forms are obtained.

Keywords

References

  1. [1] L. Fejer, Uberdie Fourierreihen, II, Math. Naturwise. Anz Ungar. Akad., Wiss, 24 (1906), 369-390, (in Hungarian).
  2. [2] J. Hadamard, Etude sur les proprietes des fonctions entieres et en particulier d'une fonction consideree par Riemann, J. Math. Pures Appl., 58 (1893), 171-215.
  3. [3] _I. _ Iscan, Hermite-Hadamard-Fejer type inequalities for convex functions via fractional inte- grals, arXiv preprint arXiv:1404.7722 (2014).
  4. [4] _I. _ Iscan, Generalization of di erent type integral inequalities for s-convex functions via frac- tional integrals, Applicable Analysis, 2013. doi: 10.1080/00036811.2013.851785.
  5. [5] _I. _ Iscan, New general integral inequalities for quasi-geometrically convex functions via frac- tional integrals, J. Inequal. Appl., 2013(491) (2013), 15 pages.
  6. [6] _I. _ Iscan, On generalization of di erent type integral inequalities for s-convex functions via fractional integrals, Mathematical Sciences and Applications E-Notes, 2(1) (2014), 55-67.
  7. [7] A. A. Kilbas, H. M. Srivastava, J. J. Trujillo, Theory and applications of fractional di erential equations, Elsevier, Amsterdam 2006.
  8. [8] M. Kunt, _I. _ Iscan, On new inequalities of Hermite-Hadamard-Fejer type for GA-convex func- tions via fractional integrals, RGMIA Research Report Collection, 18(2015), Article 108, 12 pp.

Details

Primary Language

English

Subjects

Engineering

Journal Section

Research Article

Authors

Publication Date

April 1, 2016

Submission Date

July 10, 2014

Acceptance Date

-

Published in Issue

Year 2016 Volume: 4 Number: 1

APA
Kunt, M., & İşcan, İ. (2016). ON NEW INEQUALITIES OF HERMITE-HADAMARD-FEJER TYPE FOR GA-s CONVEX FUNCTIONS VIA FRACTIONAL INTEGRALS. Konuralp Journal of Mathematics, 4(1), 130-139. https://izlik.org/JA65WS55GU
AMA
1.Kunt M, İşcan İ. ON NEW INEQUALITIES OF HERMITE-HADAMARD-FEJER TYPE FOR GA-s CONVEX FUNCTIONS VIA FRACTIONAL INTEGRALS. Konuralp J. Math. 2016;4(1):130-139. https://izlik.org/JA65WS55GU
Chicago
Kunt, Mehmet, and İmdat İşcan. 2016. “ON NEW INEQUALITIES OF HERMITE-HADAMARD-FEJER TYPE FOR GA-S CONVEX FUNCTIONS VIA FRACTIONAL INTEGRALS”. Konuralp Journal of Mathematics 4 (1): 130-39. https://izlik.org/JA65WS55GU.
EndNote
Kunt M, İşcan İ (April 1, 2016) ON NEW INEQUALITIES OF HERMITE-HADAMARD-FEJER TYPE FOR GA-s CONVEX FUNCTIONS VIA FRACTIONAL INTEGRALS. Konuralp Journal of Mathematics 4 1 130–139.
IEEE
[1]M. Kunt and İ. İşcan, “ON NEW INEQUALITIES OF HERMITE-HADAMARD-FEJER TYPE FOR GA-s CONVEX FUNCTIONS VIA FRACTIONAL INTEGRALS”, Konuralp J. Math., vol. 4, no. 1, pp. 130–139, Apr. 2016, [Online]. Available: https://izlik.org/JA65WS55GU
ISNAD
Kunt, Mehmet - İşcan, İmdat. “ON NEW INEQUALITIES OF HERMITE-HADAMARD-FEJER TYPE FOR GA-S CONVEX FUNCTIONS VIA FRACTIONAL INTEGRALS”. Konuralp Journal of Mathematics 4/1 (April 1, 2016): 130-139. https://izlik.org/JA65WS55GU.
JAMA
1.Kunt M, İşcan İ. ON NEW INEQUALITIES OF HERMITE-HADAMARD-FEJER TYPE FOR GA-s CONVEX FUNCTIONS VIA FRACTIONAL INTEGRALS. Konuralp J. Math. 2016;4:130–139.
MLA
Kunt, Mehmet, and İmdat İşcan. “ON NEW INEQUALITIES OF HERMITE-HADAMARD-FEJER TYPE FOR GA-S CONVEX FUNCTIONS VIA FRACTIONAL INTEGRALS”. Konuralp Journal of Mathematics, vol. 4, no. 1, Apr. 2016, pp. 130-9, https://izlik.org/JA65WS55GU.
Vancouver
1.Mehmet Kunt, İmdat İşcan. ON NEW INEQUALITIES OF HERMITE-HADAMARD-FEJER TYPE FOR GA-s CONVEX FUNCTIONS VIA FRACTIONAL INTEGRALS. Konuralp J. Math. [Internet]. 2016 Apr. 1;4(1):130-9. Available from: https://izlik.org/JA65WS55GU
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