Derivation of Bounds of an Integral Operator via Exponentially Convex Functions
Joint Authors
Farid, Gulam
Ye, Hong
Bangash, Babar Khan
Cai, Lulu
Source
Issue
Vol. 2020, Issue 2020 (31 Dec. 2020), pp.1-9, 9 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2020-07-04
Country of Publication
Egypt
No. of Pages
9
Main Subjects
Abstract EN
In this paper, bounds of fractional and conformable integral operators are established in a compact form.
By using exponentially convex functions, certain bounds of these operators are derived and further used to prove their boundedness and continuity.
A modulus inequality is established for a differentiable function whose derivative in absolute value is exponentially convex.
Upper and lower bounds of these operators are obtained in the form of a Hadamard inequality.
Some particular cases of main results are also studied.
American Psychological Association (APA)
Ye, Hong& Farid, Gulam& Bangash, Babar Khan& Cai, Lulu. 2020. Derivation of Bounds of an Integral Operator via Exponentially Convex Functions. Journal of Mathematics،Vol. 2020, no. 2020, pp.1-9.
https://search.emarefa.net/detail/BIM-1188014
Modern Language Association (MLA)
Ye, Hong…[et al.]. Derivation of Bounds of an Integral Operator via Exponentially Convex Functions. Journal of Mathematics No. 2020 (2020), pp.1-9.
https://search.emarefa.net/detail/BIM-1188014
American Medical Association (AMA)
Ye, Hong& Farid, Gulam& Bangash, Babar Khan& Cai, Lulu. Derivation of Bounds of an Integral Operator via Exponentially Convex Functions. Journal of Mathematics. 2020. Vol. 2020, no. 2020, pp.1-9.
https://search.emarefa.net/detail/BIM-1188014
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1188014