Research Article

Generalized Hermite-Hadamard type inequalities for products of co-ordinated convex functions

Volume: 69 Number: 1 June 30, 2020
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

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  2. 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.
  3. 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.
  4. Azpeitia, A. G., Convex functions and the Hadamard inequality, Rev. Colombiana Math., 28(1994), 7-12.
  5. 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.
  6. 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.
  7. Budak, H., Bakış, Y., On Fejer type inequalities for products two convex functions, Note Di Matematica, in press.
  8. 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

Cited By

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

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