Fractional Mercer's Hermite–Hadamard type inequalities in the frame of interval analysis and its applications to matrix
Volume 33, Issue 4, pp 352--367
https://dx.doi.org/10.22436/jmcs.033.04.03
Publication Date: January 25, 2024
Submission Date: October 26, 2023
Revision Date: December 04, 2023
Accteptance Date: December 19, 2023
Authors
H. Ahmad
- Near East University, Operational Research Center in Healthcare, TRNC Mersin 10, Nicosia, 99138, Turkey.
- Department of Mathematics, Faculty of Science, Islamic University of Madinah, Medina, 42210 , Saudi Arabia.
- Center for Applied Mathematics and Bioinformatics, Gulf University for Science and Technology, Mishref, Kuwait.
- Department of Computer Science and Mathematics, Lebanese American University, Beirut, Lebanon.
J. Nasir
- Department of Mathematics , Virtual University of Pakistan, Lahore Campus, 54000, Pakistan.
M. Tariq
- Department of Basic Sciences and Related Studies, Mehran University of Engineering and Technology, Jamshoro 76062, Pakistan.
M. Suleman
- Department of Basic Sciences and Related Studies, Mehran University of Engineering and Technology, Jamshoro 76062, Pakistan.
S. K. Ntouyas
- Department of Mathematics, University of Ioannina, 451 10 Ioannina, Greece.
J. Tariboon
- Intelligent and Nonlinear Dynamic Innovations Research Center, Department of Mathematics, Faculty of Applied Science, King Mongkut’s University of Technology North Bangkok, Bangkok 10800, Thailand.
Abstract
In this paper, we aim to discuss some fractional Hermite--Hadamard (H--H)-Mercer inequality for interval-valued functions via generalized fractional integral operator (GFIO). In addition, we investigate some new variants of the H--H-Mercer inequality pertaining to GFIO. A few examples are also provided to back up our claims. The findings potentially shed fresh light on a wide range of integral inequalities for fractional fuzzy in the frame of interval analysis and the optimization challenges they present. Finally, applications involving matrices are demonstrated.
Share and Cite
ISRP Style
H. Ahmad, J. Nasir, M. Tariq, M. Suleman, S. K. Ntouyas, J. Tariboon, Fractional Mercer's Hermite–Hadamard type inequalities in the frame of interval analysis and its applications to matrix, Journal of Mathematics and Computer Science, 33 (2024), no. 4, 352--367
AMA Style
Ahmad H., Nasir J., Tariq M., Suleman M., Ntouyas S. K., Tariboon J., Fractional Mercer's Hermite–Hadamard type inequalities in the frame of interval analysis and its applications to matrix. J Math Comput SCI-JM. (2024); 33(4):352--367
Chicago/Turabian Style
Ahmad, H., Nasir, J., Tariq, M., Suleman, M., Ntouyas, S. K., Tariboon, J.. "Fractional Mercer's Hermite–Hadamard type inequalities in the frame of interval analysis and its applications to matrix." Journal of Mathematics and Computer Science, 33, no. 4 (2024): 352--367
Keywords
- Convex function
- H--H-Mercer inequality
- interval-valued function
- generalized fractional integral operator
MSC
- 26A51
- 26A33
- 26D07
- 26D10
- 26D15
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