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On Cerone’s and Bellman’s generalization of Steffensen’s integral inequality via conformable sense

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Al-Azhar University – Gaza
El-Khatib M.S.; Hany A.A.K.A.; Matar M.M.; Alqudah M.A.; Abdeljawad T.
El-Khatib, Mohammed S. (57211551991); Hany, Atta A. K. Abu (57941931600); Matar, Mohammed M. (14322043100); Alqudah, Manar A. (57211521778); Abdeljawad, Thabet (6508051762)
57211551991; 57941931600; 14322043100; 57211521778; 6508051762
2023
AIMS Mathematics
On Cerone’s and Bellman’s generalization of Steffensen’s integral inequality via conformable sense
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1
2062
2082
American Institute of Mathematical Sciences
Department of Mathematics, Al-Azhar University-Gaza, Gaza Strip, Palestine; Department Mathematical Sciences, Faculty of Sciences, Princess Nourah Bint Abdulrahman University, P. O. Box 84428, Riyadh, 11671, Saudi Arabia; Department of Mathematics and Sciences, Prince Sultan University, P. O. Box 66833, Riyadh, 11586, Saudi Arabia; Department of Medical Research, China Medical University, Taiwan, Taichung, 40402, Taiwan
El-Khatib M.S., Department of Mathematics, Al-Azhar University-Gaza, Gaza Strip, Palestine; Hany A.A.K.A., Department of Mathematics, Al-Azhar University-Gaza, Gaza Strip, Palestine; Matar M.M., Department of Mathematics, Al-Azhar University-Gaza, Gaza Strip, Palestine; Alqudah M.A., Department Mathematical Sciences, Faculty of Sciences, Princess Nourah Bint Abdulrahman University, P. O. Box 84428, Riyadh, 11671, Saudi Arabia; Abdeljawad T., Department of Mathematics and Sciences, Prince Sultan University, P. O. Box 66833, Riyadh, 11586, Saudi Arabia, Department of Medical Research, China Medical University, Taiwan, Taichung, 40402, Taiwan
T. Abdeljawad; Department of Mathematics and Sciences, Prince Sultan University, Riyadh, P. O. Box 66833, 11586, Saudi Arabia; email: tabdeljawad@psu.edu.sa
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10.3934/math.2023106
Belman’s; Cerone’s; conformable derivative and integral; convex functions; Steffensen’s; Hayashi’s and Jensen’s inequalities