Generalized Fractional Hadamard and Fejér–Hadamard Inequalities for Generalized Harmonically Convex Functions
Joint Authors
Kang, Shin Min
Chu, Yu-Ming
Jung, Chahn Yong
Farid, Ghulam
Yussouf, Muhammad
Source
Issue
Vol. 2020, Issue 2020 (31 Dec. 2020), pp.1-13, 13 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2020-11-04
Country of Publication
Egypt
No. of Pages
13
Main Subjects
Abstract EN
In this paper, we define a new function, namely, harmonically α,h−m-convex function, which unifies various kinds of harmonically convex functions.
Generalized versions of the Hadamard and the Fejér–Hadamard fractional integral inequalities for harmonically α,h−m-convex functions via generalized fractional integral operators are proved.
From presented results, a series of fractional integral inequalities can be obtained for harmonically convex, harmonically h−m-convex, harmonically α,m-convex, and related functions and for already known fractional integral operators.
American Psychological Association (APA)
Jung, Chahn Yong& Yussouf, Muhammad& Chu, Yu-Ming& Farid, Ghulam& Kang, Shin Min. 2020. Generalized Fractional Hadamard and Fejér–Hadamard Inequalities for Generalized Harmonically Convex Functions. Journal of Mathematics،Vol. 2020, no. 2020, pp.1-13.
https://search.emarefa.net/detail/BIM-1188190
Modern Language Association (MLA)
Jung, Chahn Yong…[et al.]. Generalized Fractional Hadamard and Fejér–Hadamard Inequalities for Generalized Harmonically Convex Functions. Journal of Mathematics No. 2020 (2020), pp.1-13.
https://search.emarefa.net/detail/BIM-1188190
American Medical Association (AMA)
Jung, Chahn Yong& Yussouf, Muhammad& Chu, Yu-Ming& Farid, Ghulam& Kang, Shin Min. Generalized Fractional Hadamard and Fejér–Hadamard Inequalities for Generalized Harmonically Convex Functions. Journal of Mathematics. 2020. Vol. 2020, no. 2020, pp.1-13.
https://search.emarefa.net/detail/BIM-1188190
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1188190