On some integral inequalities of Grüss type involving the generalized fractional Saigo k-integral operator
Using the generalized Saigo fractional integral operator, the authors of this study prove several novel fractional integral inequalities of the Grüss type. By fixing the values of functions, specific situations derived from previously established findings are shown. The ultimate purpose of this work...
Saved in:
| Main Authors: | , , , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
Elsevier
2025-01-01
|
| Series: | Heliyon |
| Subjects: | |
| Online Access: | http://www.sciencedirect.com/science/article/pii/S2405844025000829 |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1832573139303792640 |
|---|---|
| author | Akhtar Abbas Shahid Mubeen Aziz Khan Thabet Abdeljawad |
| author_facet | Akhtar Abbas Shahid Mubeen Aziz Khan Thabet Abdeljawad |
| author_sort | Akhtar Abbas |
| collection | DOAJ |
| description | Using the generalized Saigo fractional integral operator, the authors of this study prove several novel fractional integral inequalities of the Grüss type. By fixing the values of functions, specific situations derived from previously established findings are shown. The ultimate purpose of this work is to investigate the Grüss-type integral inequalities with the Saigo k-integral operator, a more generalized integral operator. We also elaborate on a few more outcomes and specific instances of the primary findings. |
| format | Article |
| id | doaj-art-459c68aa1520446d93ca822f93fed20d |
| institution | Kabale University |
| issn | 2405-8440 |
| language | English |
| publishDate | 2025-01-01 |
| publisher | Elsevier |
| record_format | Article |
| series | Heliyon |
| spelling | doaj-art-459c68aa1520446d93ca822f93fed20d2025-02-02T05:27:59ZengElsevierHeliyon2405-84402025-01-01112e41702On some integral inequalities of Grüss type involving the generalized fractional Saigo k-integral operatorAkhtar Abbas0Shahid Mubeen1Aziz Khan2Thabet Abdeljawad3Department of Mathematics, University of Sargodha, Sargodha 40162, Pakistan; Corresponding authors.Department of Mathematics, University of Sargodha, Sargodha 40162, Pakistan; Department of Mathematics, Baba Guru Nanak University, Nankana Sahib, PakistanDepartment of Mathematics and Science, Prince Sultan University, P.O. Box 66833, 11586 Riyadh, Saudi ArabiaDepartment of Mathematics, Saveetha School of Engineering, Saveetha Institute of Medical and Technical Sciences, Saveetha University, Chennai, Tamil Nadu 602105, India; Department of Mathematics and Science, Prince Sultan University, P.O. Box 66833, 11586 Riyadh, Saudi Arabia; Center for Applied Mathematics and Bioinformatics (CAMB), Gulf University for Science and Technology, Hawally, 32093, Kuwait; Department of Medical Research, China Medical University, Taichung, 40402, Taiwan; Department of Mathematics and Applied Mathematics, Sefako Makgatho Health Sciences University, South Africa; Corresponding authors.Using the generalized Saigo fractional integral operator, the authors of this study prove several novel fractional integral inequalities of the Grüss type. By fixing the values of functions, specific situations derived from previously established findings are shown. The ultimate purpose of this work is to investigate the Grüss-type integral inequalities with the Saigo k-integral operator, a more generalized integral operator. We also elaborate on a few more outcomes and specific instances of the primary findings.http://www.sciencedirect.com/science/article/pii/S2405844025000829Grüss integral inequalitiesGeneralized hypergeometric functionSaigo's k-fractional integral operator |
| spellingShingle | Akhtar Abbas Shahid Mubeen Aziz Khan Thabet Abdeljawad On some integral inequalities of Grüss type involving the generalized fractional Saigo k-integral operator Heliyon Grüss integral inequalities Generalized hypergeometric function Saigo's k-fractional integral operator |
| title | On some integral inequalities of Grüss type involving the generalized fractional Saigo k-integral operator |
| title_full | On some integral inequalities of Grüss type involving the generalized fractional Saigo k-integral operator |
| title_fullStr | On some integral inequalities of Grüss type involving the generalized fractional Saigo k-integral operator |
| title_full_unstemmed | On some integral inequalities of Grüss type involving the generalized fractional Saigo k-integral operator |
| title_short | On some integral inequalities of Grüss type involving the generalized fractional Saigo k-integral operator |
| title_sort | on some integral inequalities of gruss type involving the generalized fractional saigo k integral operator |
| topic | Grüss integral inequalities Generalized hypergeometric function Saigo's k-fractional integral operator |
| url | http://www.sciencedirect.com/science/article/pii/S2405844025000829 |
| work_keys_str_mv | AT akhtarabbas onsomeintegralinequalitiesofgrusstypeinvolvingthegeneralizedfractionalsaigokintegraloperator AT shahidmubeen onsomeintegralinequalitiesofgrusstypeinvolvingthegeneralizedfractionalsaigokintegraloperator AT azizkhan onsomeintegralinequalitiesofgrusstypeinvolvingthegeneralizedfractionalsaigokintegraloperator AT thabetabdeljawad onsomeintegralinequalitiesofgrusstypeinvolvingthegeneralizedfractionalsaigokintegraloperator |