Some New Tempered Fractional Pólya-Szegö and Chebyshev-Type Inequalities with Respect to Another Function
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...
Saved in:
| Main Authors: | , , , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
Wiley
2020-01-01
|
| Series: | Journal of Mathematics |
| Online Access: | http://dx.doi.org/10.1155/2020/9858671 |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1832567462534578176 |
|---|---|
| author | Gauhar Rahman Kottakkaran Sooppy Nisar Thabet Abdeljawad Muhammad Samraiz |
| author_facet | Gauhar Rahman Kottakkaran Sooppy Nisar Thabet Abdeljawad Muhammad Samraiz |
| author_sort | Gauhar Rahman |
| collection | DOAJ |
| description | 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. |
| format | Article |
| id | doaj-art-961020618bf74992b8f3c19fb2e6964d |
| institution | Kabale University |
| issn | 2314-4629 2314-4785 |
| language | English |
| publishDate | 2020-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Mathematics |
| spelling | doaj-art-961020618bf74992b8f3c19fb2e6964d2025-02-03T01:01:24ZengWileyJournal of Mathematics2314-46292314-47852020-01-01202010.1155/2020/98586719858671Some New Tempered Fractional Pólya-Szegö and Chebyshev-Type Inequalities with Respect to Another FunctionGauhar Rahman0Kottakkaran Sooppy Nisar1Thabet Abdeljawad2Muhammad Samraiz3Department of Mathematics, Shaheed Benazir Bhutto University, Sheringal 18000, Upper Dir, PakistanDepartment of Mathematics, College of Arts and Sciences, Prince Sattam Bin Abdulaziz University, Wadi Aldawaser 11991, Saudi ArabiaDepartment of Mathematics and General Sciences, Prince Sultan University, Riyadh, KSA, Saudi ArabiaDepartment of Mathematics, University of Sargodha, Sargodha, PakistanIn 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.http://dx.doi.org/10.1155/2020/9858671 |
| spellingShingle | Gauhar Rahman Kottakkaran Sooppy Nisar Thabet Abdeljawad Muhammad Samraiz Some New Tempered Fractional Pólya-Szegö and Chebyshev-Type Inequalities with Respect to Another Function Journal of Mathematics |
| title | Some New Tempered Fractional Pólya-Szegö and Chebyshev-Type Inequalities with Respect to Another Function |
| title_full | Some New Tempered Fractional Pólya-Szegö and Chebyshev-Type Inequalities with Respect to Another Function |
| title_fullStr | Some New Tempered Fractional Pólya-Szegö and Chebyshev-Type Inequalities with Respect to Another Function |
| title_full_unstemmed | Some New Tempered Fractional Pólya-Szegö and Chebyshev-Type Inequalities with Respect to Another Function |
| title_short | Some New Tempered Fractional Pólya-Szegö and Chebyshev-Type Inequalities with Respect to Another Function |
| title_sort | some new tempered fractional polya szego and chebyshev type inequalities with respect to another function |
| url | http://dx.doi.org/10.1155/2020/9858671 |
| work_keys_str_mv | AT gauharrahman somenewtemperedfractionalpolyaszegoandchebyshevtypeinequalitieswithrespecttoanotherfunction AT kottakkaransooppynisar somenewtemperedfractionalpolyaszegoandchebyshevtypeinequalitieswithrespecttoanotherfunction AT thabetabdeljawad somenewtemperedfractionalpolyaszegoandchebyshevtypeinequalitieswithrespecttoanotherfunction AT muhammadsamraiz somenewtemperedfractionalpolyaszegoandchebyshevtypeinequalitieswithrespecttoanotherfunction |