EN
Generalized Hermite-Hadamard type inequalities for products of co-ordinated convex functions
Abstract
In this paper, we think products of two co-ordinated convex functions for the Hermite-Hadamard type inequalities. Using these functions we obtained Hermite-Hadamard type inequalities which are generalizations of some results given in earlier works.
Keywords
References
- Akkurt, A., Sarikaya, M. Z., Budak, H., Yildirim, H., On the Hadamard's type inequalities for co-ordinated convex functions via fractional integrals, Journal of King Saud University-Science, 29(2017), 380-387.
- Alomari, M., Darus, M., The Hadamards inequality for s-convex function of 2-variables on the coordinates, Int. J. Math. Anal., 2(13) (2008), 629-638.
- Alomari, M., Darus, M., On the Hadamard's inequality for log-convex functions on the coordinates, Journal of Inequalities and Applications, vol.2009, Article ID 283147, 13 pages.
- Azpeitia, A. G., Convex functions and the Hadamard inequality, Rev. Colombiana Math., 28(1994), 7-12.
- Bakula, M. K., An improvement of the Hermite-Hadamard inequality for functions convex on the coordinates, Australian Journal of Mathematical Analysis and Applications, 11(1) (2014), 1-7.
- Budak, H., Sarıkaya, M. Z., Hermite-Hadamard type inequalities for products of two co-ordinated convex mappings via fractional integrals, International Journal of Applied Mathematics and Statistics, 58(4) (2019), 11-30.
- Budak, H., Bakış, Y., On Fejer type inequalities for products two convex functions, Note Di Matematica, in press.
- Chen, F., On Hermite-Hadamard type inequalities for s-convex functions on the coordinates via Riemann-Liouville fractional integrals, Journal of Applied Mathematics, vol. 2014, Article ID 248710, 8 pages.
Details
Primary Language
English
Subjects
Mathematical Sciences
Journal Section
Research Article
Publication Date
June 30, 2020
Submission Date
August 2, 2019
Acceptance Date
April 24, 2020
Published in Issue
Year 2020 Volume: 69 Number: 1
APA
Budak, H., & Tunç, T. (2020). Generalized Hermite-Hadamard type inequalities for products of co-ordinated convex functions. Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics, 69(1), 863-879. https://doi.org/10.31801/cfsuasmas.600814
AMA
1.Budak H, Tunç T. Generalized Hermite-Hadamard type inequalities for products of co-ordinated convex functions. Commun. Fac. Sci. Univ. Ank. Ser. A1 Math. Stat. 2020;69(1):863-879. doi:10.31801/cfsuasmas.600814
Chicago
Budak, Hüseyin, and Tuba Tunç. 2020. “Generalized Hermite-Hadamard Type Inequalities for Products of Co-Ordinated Convex Functions”. Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics 69 (1): 863-79. https://doi.org/10.31801/cfsuasmas.600814.
EndNote
Budak H, Tunç T (June 1, 2020) Generalized Hermite-Hadamard type inequalities for products of co-ordinated convex functions. Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics 69 1 863–879.
IEEE
[1]H. Budak and T. Tunç, “Generalized Hermite-Hadamard type inequalities for products of co-ordinated convex functions”, Commun. Fac. Sci. Univ. Ank. Ser. A1 Math. Stat., vol. 69, no. 1, pp. 863–879, June 2020, doi: 10.31801/cfsuasmas.600814.
ISNAD
Budak, Hüseyin - Tunç, Tuba. “Generalized Hermite-Hadamard Type Inequalities for Products of Co-Ordinated Convex Functions”. Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics 69/1 (June 1, 2020): 863-879. https://doi.org/10.31801/cfsuasmas.600814.
JAMA
1.Budak H, Tunç T. Generalized Hermite-Hadamard type inequalities for products of co-ordinated convex functions. Commun. Fac. Sci. Univ. Ank. Ser. A1 Math. Stat. 2020;69:863–879.
MLA
Budak, Hüseyin, and Tuba Tunç. “Generalized Hermite-Hadamard Type Inequalities for Products of Co-Ordinated Convex Functions”. Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics, vol. 69, no. 1, June 2020, pp. 863-79, doi:10.31801/cfsuasmas.600814.
Vancouver
1.Hüseyin Budak, Tuba Tunç. Generalized Hermite-Hadamard type inequalities for products of co-ordinated convex functions. Commun. Fac. Sci. Univ. Ank. Ser. A1 Math. Stat. 2020 Jun. 1;69(1):863-79. doi:10.31801/cfsuasmas.600814
