Research Article

Certain New Hermite-Hadamard Type Inequalities for Convex Functions Via Fractional Integrals

Volume: 68 Number: 1 February 1, 2019
EN

Certain New Hermite-Hadamard Type Inequalities for Convex Functions Via Fractional Integrals

Abstract

The object of this paper is to obtain certain Hermite-Hadamard type integral inequalities involving general class of fractional integral operators and the fractional integral operators with exponential kernel by using harmonically convex functions

Keywords

References

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  3. İşcan, İ., Hermite-Hadamard type inequalities for harmonically convex functions, Hacet. J. Math. Stat. Doi: 10.15672/HJMS.2014437519.
  4. İşcan, İ. and Wu, S., Hermite-Hadamard type inequalities for harmonically convex functions via fractional integrals, Applied Mathematics and Computation 238, (2014) 237-244 .
  5. Kirane, M. and Torebek B.T., Hermite-Hadamard, Hermite-Hadamard-Fejer, Dragomir-Agarwal and Pachpatte type inequalities for convex functions via fractional integrals, arXiv:1701.00092v1 [math.FA] (2016).
  6. Kilbas, A.A., Srivastava, H.M. and Trujillo, J.J., Theory and Applications of Fractional Differential Equations, Elsevier, Amsterdam (2006).
  7. Raina, R.K., On generalized Wright's hypergeometric functions and fractional calculus operators, East Asian Math. J., 21(2) (2005), 191-203.
  8. Sarıkaya, M.Z., Set, E., Yaldız, H. and Başak, N., Hermite-Hadamard's inequalities for fractional integrals and related fractional inequalities, Math. Comput. Model. 57(9-10), (2013) 2403-2407.

Details

Primary Language

English

Subjects

-

Journal Section

Research Article

Publication Date

February 1, 2019

Submission Date

May 23, 2017

Acceptance Date

November 5, 2017

Published in Issue

Year 2019 Volume: 68 Number: 1

APA
Set, E., Özdemir, M. E., & Korkut, N. (2019). Certain New Hermite-Hadamard Type Inequalities for Convex Functions Via Fractional Integrals. Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics, 68(1), 61-69. https://doi.org/10.31801/cfsuasmas.443617
AMA
1.Set E, Özdemir ME, Korkut N. Certain New Hermite-Hadamard Type Inequalities for Convex Functions Via Fractional Integrals. Commun. Fac. Sci. Univ. Ank. Ser. A1 Math. Stat. 2019;68(1):61-69. doi:10.31801/cfsuasmas.443617
Chicago
Set, Erhan, M. Emin Özdemir, and Necla Korkut. 2019. “Certain New Hermite-Hadamard Type Inequalities for Convex Functions Via Fractional Integrals”. Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics 68 (1): 61-69. https://doi.org/10.31801/cfsuasmas.443617.
EndNote
Set E, Özdemir ME, Korkut N (February 1, 2019) Certain New Hermite-Hadamard Type Inequalities for Convex Functions Via Fractional Integrals. Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics 68 1 61–69.
IEEE
[1]E. Set, M. E. Özdemir, and N. Korkut, “Certain New Hermite-Hadamard Type Inequalities for Convex Functions Via Fractional Integrals”, Commun. Fac. Sci. Univ. Ank. Ser. A1 Math. Stat., vol. 68, no. 1, pp. 61–69, Feb. 2019, doi: 10.31801/cfsuasmas.443617.
ISNAD
Set, Erhan - Özdemir, M. Emin - Korkut, Necla. “Certain New Hermite-Hadamard Type Inequalities for Convex Functions Via Fractional Integrals”. Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics 68/1 (February 1, 2019): 61-69. https://doi.org/10.31801/cfsuasmas.443617.
JAMA
1.Set E, Özdemir ME, Korkut N. Certain New Hermite-Hadamard Type Inequalities for Convex Functions Via Fractional Integrals. Commun. Fac. Sci. Univ. Ank. Ser. A1 Math. Stat. 2019;68:61–69.
MLA
Set, Erhan, et al. “Certain New Hermite-Hadamard Type Inequalities for Convex Functions Via Fractional Integrals”. Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics, vol. 68, no. 1, Feb. 2019, pp. 61-69, doi:10.31801/cfsuasmas.443617.
Vancouver
1.Erhan Set, M. Emin Özdemir, Necla Korkut. Certain New Hermite-Hadamard Type Inequalities for Convex Functions Via Fractional Integrals. Commun. Fac. Sci. Univ. Ank. Ser. A1 Math. Stat. 2019 Feb. 1;68(1):61-9. doi:10.31801/cfsuasmas.443617

Cited By

Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics

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