Some New Tempered Fractional Pólya-Szegö and Chebyshev-Type Inequalities with Respect to Another Function
Joint Authors
Rahman, Gauhar
Abdeljawad (Maraaba), T.
Nisar, K. S.
Samraiz, Muhammad
Source
Issue
Vol. 2020, Issue 2020 (31 Dec. 2020), pp.1-14, 14 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2020-11-02
Country of Publication
Egypt
No. of Pages
14
Main Subjects
Abstract EN
In this present article, we establish certain new Pólya–Szegö-type tempered fractional integral inequalities by considering the generalized tempered fractional integral concerning another function Ψ in the kernel.
We then prove certain new Chebyshev-type tempered fractional integral inequalities for the said operator with the help of newly established Pólya–Szegö-type tempered fractional integral inequalities.
Also, some new particular cases in the sense of classical tempered fractional integrals are discussed.
Additionally, examples of constructing bounded functions are considered.
Furthermore, one can easily form new inequalities for Katugampola fractional integrals, generalized Riemann–Liouville fractional integral concerning another function Ψ in the kernel, and generalized fractional conformable integral by applying different conditions.
American Psychological Association (APA)
Rahman, Gauhar& Nisar, K. S.& Abdeljawad (Maraaba), T.& Samraiz, Muhammad. 2020. Some New Tempered Fractional Pólya-Szegö and Chebyshev-Type Inequalities with Respect to Another Function. Journal of Mathematics،Vol. 2020, no. 2020, pp.1-14.
https://search.emarefa.net/detail/BIM-1188290
Modern Language Association (MLA)
Rahman, Gauhar…[et al.]. Some New Tempered Fractional Pólya-Szegö and Chebyshev-Type Inequalities with Respect to Another Function. Journal of Mathematics No. 2020 (2020), pp.1-14.
https://search.emarefa.net/detail/BIM-1188290
American Medical Association (AMA)
Rahman, Gauhar& Nisar, K. S.& Abdeljawad (Maraaba), T.& Samraiz, Muhammad. Some New Tempered Fractional Pólya-Szegö and Chebyshev-Type Inequalities with Respect to Another Function. Journal of Mathematics. 2020. Vol. 2020, no. 2020, pp.1-14.
https://search.emarefa.net/detail/BIM-1188290
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1188290