A Note on Fractional Midpoint Type Inequalities for Co-ordinated (s1, s2)-Convex Functions

Fatih Hezenci

doi:10.17776/csj.1088703

EN

A Note on Fractional Midpoint Type Inequalities for Co-ordinated (s1, s2)-Convex Functions

Abstract

In the present paper, some Hermite-Hadamard type inequalities in the case of differentiable co-ordinated (s_1," " s_2)-convex functions are investigated. Namely, the generalizations of the midpoint type inequalities in the case of differentiable co-ordinated (s_1," " s_2)-convex functions in the second sense on the rectangle from the plain are established. In addition to this, it is presented several inequalities to the case of Riemann-Liouville fractional integrals and k-Riemann-Liouville fractional integrals by choosing the special cases of our obtained main results

Keywords

Midpoint inequality, Co-ordinated (s_1, " " s_2)-convex function, Generalized fractional integrals.

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Details

Primary Language

English

Subjects

Mathematical Sciences

Journal Section

Research Article

Authors

Fatih Hezenci ^*
0000-0003-1008-5856
Türkiye

Publication Date

September 30, 2022

Submission Date

March 17, 2022

Acceptance Date

August 3, 2022

Published in Issue

Year 2022 Volume: 43 Number: 3

DOI

https://doi.org/10.17776/csj.1088703

IZ

https://izlik.org/JA82DN59ZW

APA

Hezenci, F. (2022). A Note on Fractional Midpoint Type Inequalities for Co-ordinated (s1, s2)-Convex Functions. Cumhuriyet Science Journal, 43(3), 477-491. https://doi.org/10.17776/csj.1088703

AMA

1.Hezenci F. A Note on Fractional Midpoint Type Inequalities for Co-ordinated (s1, s2)-Convex Functions. CSJ. 2022;43(3):477-491. doi:10.17776/csj.1088703

Chicago

Hezenci, Fatih. 2022. “A Note on Fractional Midpoint Type Inequalities for Co-Ordinated (s1, S2)-Convex Functions”. Cumhuriyet Science Journal 43 (3): 477-91. https://doi.org/10.17776/csj.1088703.

EndNote

Hezenci F (September 1, 2022) A Note on Fractional Midpoint Type Inequalities for Co-ordinated (s1, s2)-Convex Functions. Cumhuriyet Science Journal 43 3 477–491.

IEEE

[1]F. Hezenci, “A Note on Fractional Midpoint Type Inequalities for Co-ordinated (s1, s2)-Convex Functions”, CSJ, vol. 43, no. 3, pp. 477–491, Sept. 2022, doi: 10.17776/csj.1088703.

ISNAD

Hezenci, Fatih. “A Note on Fractional Midpoint Type Inequalities for Co-Ordinated (s1, S2)-Convex Functions”. Cumhuriyet Science Journal 43/3 (September 1, 2022): 477-491. https://doi.org/10.17776/csj.1088703.

JAMA

1.Hezenci F. A Note on Fractional Midpoint Type Inequalities for Co-ordinated (s1, s2)-Convex Functions. CSJ. 2022;43:477–491.

MLA

Hezenci, Fatih. “A Note on Fractional Midpoint Type Inequalities for Co-Ordinated (s1, S2)-Convex Functions”. Cumhuriyet Science Journal, vol. 43, no. 3, Sept. 2022, pp. 477-91, doi:10.17776/csj.1088703.

Vancouver

1.Fatih Hezenci. A Note on Fractional Midpoint Type Inequalities for Co-ordinated (s1, s2)-Convex Functions. CSJ. 2022 Sep. 1;43(3):477-91. doi:10.17776/csj.1088703

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