Post-quantum Simpson's type inequalities for coordinated convex functions
In this paper, we prove some new Simpson's type inequalities for partial (p,q)-differentiable convex functions of two variables in the context of (p,q)-calculus. We also show that the findings in this paper are generalizations of comparable findings in the literature.
| Main Authors: | , , , , , |
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| Format: | Article |
| Language: | English |
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AIMS Press
2022-01-01
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| Series: | AIMS Mathematics |
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| Online Access: | https://www.aimspress.com/article/doi/10.3934/math.2022172?viewType=HTML |
| _version_ | 1798025408321421312 |
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| author | Xue-Xiao You Muhammad Aamir Ali Ghulam Murtaza Saowaluck Chasreechai Sotiris K. Ntouyas Thanin Sitthiwirattham |
| author_facet | Xue-Xiao You Muhammad Aamir Ali Ghulam Murtaza Saowaluck Chasreechai Sotiris K. Ntouyas Thanin Sitthiwirattham |
| author_sort | Xue-Xiao You |
| collection | DOAJ |
| description | In this paper, we prove some new Simpson's type inequalities for partial (p,q)-differentiable convex functions of two variables in the context of (p,q)-calculus. We also show that the findings in this paper are generalizations of comparable findings in the literature. |
| first_indexed | 2024-04-11T18:18:25Z |
| format | Article |
| id | doaj.art-0e7d0d34861c4800b80a46733dfea5f9 |
| institution | Directory Open Access Journal |
| issn | 2473-6988 |
| language | English |
| last_indexed | 2024-04-11T18:18:25Z |
| publishDate | 2022-01-01 |
| publisher | AIMS Press |
| record_format | Article |
| series | AIMS Mathematics |
| spelling | doaj.art-0e7d0d34861c4800b80a46733dfea5f92022-12-22T04:09:49ZengAIMS PressAIMS Mathematics2473-69882022-01-01723097313210.3934/math.2022172Post-quantum Simpson's type inequalities for coordinated convex functionsXue-Xiao You0Muhammad Aamir Ali1Ghulam Murtaza2Saowaluck Chasreechai3Sotiris K. Ntouyas4Thanin Sitthiwirattham51. School of Mathematics and Statistics, Hubei Normal University, Huangshi, Hubei 435002, China2. Jiangsu Key Laboratory for NSLSCS, School of Mathematical Sciences, Nanjing Normal University, Nanjing, 210023, China3. Department of Mathematics, University of Management and Technology, Lahore, Pakistan4. Department of Mathematics, Faculty of Applied Science, King Mongkut's University of Technology North Bangkok, Bangkok, 10800, Thailand5. Department of Mathematics, University of Ioannina, 451 10 Ioannina, Greece; Nonlinear Analysis and Applied Mathematics (NAAM)-Research Group, Department of Mathematics, Faculty of Science, King Abdulaziz University, P.O. Box 80203, Jeddah 21589, Saudi Arabia6. Mathematics Department, Faculty of Science and Technology, Suan Dusit University, Bangkok, 10300, ThailandIn this paper, we prove some new Simpson's type inequalities for partial (p,q)-differentiable convex functions of two variables in the context of (p,q)-calculus. We also show that the findings in this paper are generalizations of comparable findings in the literature.https://www.aimspress.com/article/doi/10.3934/math.2022172?viewType=HTMLsimpson's inequalities(pq)-integralspost quantum calculusco-ordinated convexity |
| spellingShingle | Xue-Xiao You Muhammad Aamir Ali Ghulam Murtaza Saowaluck Chasreechai Sotiris K. Ntouyas Thanin Sitthiwirattham Post-quantum Simpson's type inequalities for coordinated convex functions AIMS Mathematics simpson's inequalities (p q)-integrals post quantum calculus co-ordinated convexity |
| title | Post-quantum Simpson's type inequalities for coordinated convex functions |
| title_full | Post-quantum Simpson's type inequalities for coordinated convex functions |
| title_fullStr | Post-quantum Simpson's type inequalities for coordinated convex functions |
| title_full_unstemmed | Post-quantum Simpson's type inequalities for coordinated convex functions |
| title_short | Post-quantum Simpson's type inequalities for coordinated convex functions |
| title_sort | post quantum simpson s type inequalities for coordinated convex functions |
| topic | simpson's inequalities (p q)-integrals post quantum calculus co-ordinated convexity |
| url | https://www.aimspress.com/article/doi/10.3934/math.2022172?viewType=HTML |
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