Hermite-Hadamard-Fejér Inequality Related to Generalized Convex Functions via Fractional Integrals

Joint Authors

Rostamian Delavar, M.
Mohammadi Aslani, S.
de La Sen, Manuel

Source

Journal of Mathematics

Issue

Vol. 2018, Issue 2018 (31 Dec. 2018), pp.1-10, 10 p.

Publisher

Hindawi Publishing Corporation

Publication Date

2018-08-01

Country of Publication

Egypt

No. of Pages

10

Main Subjects

Mathematics

Abstract EN

This paper deals with Hermite-Hadamard-Fejér inequality for (η1,η2)-convex functions via fractional integrals.

Some mid-point and trapezoid type inequalities related to Hermite-Hadamard inequality when the absolute value of derivative of considered function is (η1,η2)-convex functions are obtained.

Furthermore, a refinement for classic Hermite-Hadamard inequality via fractional integrals is given when a positive (η1,η2)-convex function is increasing.

American Psychological Association (APA)

Rostamian Delavar, M.& Mohammadi Aslani, S.& de La Sen, Manuel. 2018. Hermite-Hadamard-Fejér Inequality Related to Generalized Convex Functions via Fractional Integrals. Journal of Mathematics،Vol. 2018, no. 2018, pp.1-10.
https://search.emarefa.net/detail/BIM-1193575

Modern Language Association (MLA)

Rostamian Delavar, M.…[et al.]. Hermite-Hadamard-Fejér Inequality Related to Generalized Convex Functions via Fractional Integrals. Journal of Mathematics No. 2018 (2018), pp.1-10.
https://search.emarefa.net/detail/BIM-1193575

American Medical Association (AMA)

Rostamian Delavar, M.& Mohammadi Aslani, S.& de La Sen, Manuel. Hermite-Hadamard-Fejér Inequality Related to Generalized Convex Functions via Fractional Integrals. Journal of Mathematics. 2018. Vol. 2018, no. 2018, pp.1-10.
https://search.emarefa.net/detail/BIM-1193575

Data Type

Journal Articles

Language

English

Notes

Includes bibliographical references

Record ID

BIM-1193575