Computational Representation of Fractional Inequalities Through 2D and 3D Graphs with Applications
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| Published in: | Computation vol. 13, no. 2 (2025), p. 46 |
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| Other Authors: | , , , , , |
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MDPI AG
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| Online Access: | Citation/Abstract Full Text + Graphics Full Text - PDF |
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| 001 | 3170949489 | ||
| 003 | UK-CbPIL | ||
| 022 | |a 2079-3197 | ||
| 024 | 7 | |a 10.3390/computation13020046 |2 doi | |
| 035 | |a 3170949489 | ||
| 045 | 2 | |b d20250101 |b d20251231 | |
| 084 | |a 231446 |2 nlm | ||
| 100 | 1 | |a Younis, Muhammad |u School of Mathematical Sciences, Shanghai Key Laboratory of PMMP, East China Normal University, 500 Dongchuan Road, Shanghai 200241, China; <email>younismuhammad303@gmail.com</email> | |
| 245 | 1 | |a Computational Representation of Fractional Inequalities Through 2D and 3D Graphs with Applications | |
| 260 | |b MDPI AG |c 2025 | ||
| 513 | |a Journal Article | ||
| 520 | 3 | |a The aim of this research article is to use the extended fractional operators involving the multivariate Mittag–Leffler (M-M-L) function, we provide the generalization of the Hermite–Hadamard–Fejer (H-H-F) inequalities. We relate these inequalities to previously published disparities in the literature by making appropriate substitutions. In the last section, we analyze several inequalities related to the H-H-F inequalities, focusing on generalized h-convexity associated with extended fractional operators involving the M-M-L function. To achieve this, we derive two identities for locally differentiable functions, which allows us to provide specific estimates for the differences between the left, middle, and right terms in the H-H-F inequalities. Also, we have constructed specific inequalities and visualized them through graphical representations to facilitate their applications in analysis. The research bridges theoretical advancements with practical applications, providing high-accuracy bounds for complex systems involving fractional calculus. | |
| 653 | |a Calculus | ||
| 653 | |a Identities | ||
| 653 | |a Complex systems | ||
| 653 | |a Fractional calculus | ||
| 653 | |a Inequalities | ||
| 653 | |a Graphical representations | ||
| 653 | |a Convexity | ||
| 653 | |a Operators (mathematics) | ||
| 653 | |a Books | ||
| 700 | 1 | |a Mehmood, Ahsan |u School of Mathematical Sciences, Shanghai Key Laboratory of PMMP, East China Normal University, 500 Dongchuan Road, Shanghai 200241, China; <email>younismuhammad303@gmail.com</email> | |
| 700 | 1 | |a Samraiz, Muhammad |u Department of Mathematics, University of Sargodha, Sargodha P.O. Box 40100, Pakistan; <email>muhammad.samraiz@uos.edu.pk</email> | |
| 700 | 1 | |a Rahman, Gauhar |u Department of Mathematics & Statistics, Hazara University, Mansehra 21300, Pakistan; <email>gauhar55uom@gmail.com</email> | |
| 700 | 1 | |a Haque, Salma |u Department of Mathematics and Sciences, Prince Sultan University, Riyadh 11586, Saudi Arabia; <email>shaque@psu.edu.sa</email> (S.H.); <email>maloqaily@psu.edu.sa</email> (A.A.); or <email>nmlaiki20212@gmail.com</email> (N.M.) | |
| 700 | 1 | |a Aloqaily, Ahmad |u Department of Mathematics and Sciences, Prince Sultan University, Riyadh 11586, Saudi Arabia; <email>shaque@psu.edu.sa</email> (S.H.); <email>maloqaily@psu.edu.sa</email> (A.A.); or <email>nmlaiki20212@gmail.com</email> (N.M.) | |
| 700 | 1 | |a Mlaiki, Nabil |u Department of Mathematics and Sciences, Prince Sultan University, Riyadh 11586, Saudi Arabia; <email>shaque@psu.edu.sa</email> (S.H.); <email>maloqaily@psu.edu.sa</email> (A.A.); or <email>nmlaiki20212@gmail.com</email> (N.M.) | |
| 773 | 0 | |t Computation |g vol. 13, no. 2 (2025), p. 46 | |
| 786 | 0 | |d ProQuest |t Advanced Technologies & Aerospace Database | |
| 856 | 4 | 1 | |3 Citation/Abstract |u https://www.proquest.com/docview/3170949489/abstract/embedded/7BTGNMKEMPT1V9Z2?source=fedsrch |
| 856 | 4 | 0 | |3 Full Text + Graphics |u https://www.proquest.com/docview/3170949489/fulltextwithgraphics/embedded/7BTGNMKEMPT1V9Z2?source=fedsrch |
| 856 | 4 | 0 | |3 Full Text - PDF |u https://www.proquest.com/docview/3170949489/fulltextPDF/embedded/7BTGNMKEMPT1V9Z2?source=fedsrch |