Trapezium-Type Inequalities for k-Fractional Integral via New Exponential-Type Convexity and Their Applications
Joint Authors
Abdeljawad (Maraaba), T.
Nisar, K. S.
Kashuri, Artion
Nasir, Jamshed
Iqbal, Sajid
Butt, Saad Ihsan
Source
Issue
Vol. 2020, Issue 2020 (31 Dec. 2020), pp.1-12, 12 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2020-10-16
Country of Publication
Egypt
No. of Pages
12
Main Subjects
Abstract EN
In this paper, the authors investigated the concept of s,m-exponential-type convex functions and their algebraic properties.
New generalizations of Hermite–Hadamard-type inequality for the s,m-exponential-type convex function ψ and for the products of two s,m-exponential-type convex functions ψ and ϕ are proved.
Many refinements of the (H–H) inequality via s,m-exponential-type convex are obtained.
Finally, several new bounds for special means and new error estimates for the trapezoidal and midpoint formula are provided as well.
The ideas and techniques of this paper may stimulate further research in different areas of pure and applied sciences.
American Psychological Association (APA)
Kashuri, Artion& Iqbal, Sajid& Butt, Saad Ihsan& Nasir, Jamshed& Nisar, K. S.& Abdeljawad (Maraaba), T.. 2020. Trapezium-Type Inequalities for k-Fractional Integral via New Exponential-Type Convexity and Their Applications. Journal of Mathematics،Vol. 2020, no. 2020, pp.1-12.
https://search.emarefa.net/detail/BIM-1188208
Modern Language Association (MLA)
Kashuri, Artion…[et al.]. Trapezium-Type Inequalities for k-Fractional Integral via New Exponential-Type Convexity and Their Applications. Journal of Mathematics No. 2020 (2020), pp.1-12.
https://search.emarefa.net/detail/BIM-1188208
American Medical Association (AMA)
Kashuri, Artion& Iqbal, Sajid& Butt, Saad Ihsan& Nasir, Jamshed& Nisar, K. S.& Abdeljawad (Maraaba), T.. Trapezium-Type Inequalities for k-Fractional Integral via New Exponential-Type Convexity and Their Applications. Journal of Mathematics. 2020. Vol. 2020, no. 2020, pp.1-12.
https://search.emarefa.net/detail/BIM-1188208
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1188208