Some Hermite-Hadamard and midpoint type inequalities in symmetric quantum calculus
The Hermite-Hadamard inequalities are common research topics explored in different dimensions. For any interval $ [\mathrm{b_{0}}, \mathrm{b_{1}}]\subset\Re $, we construct the idea of the Hermite-Hadamard inequality, its different kinds, and its generalization in symmetric quantum calculus at $ \ma...
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AIMS Press
2024-01-01
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| Series: | AIMS Mathematics |
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| Online Access: | https://www.aimspress.com/article/doi/10.3934/math.2024268?viewType=HTML |
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| author | Saad Ihsan Butt Muhammad Nasim Aftab Hossam A. Nabwey Sina Etemad |
| author_facet | Saad Ihsan Butt Muhammad Nasim Aftab Hossam A. Nabwey Sina Etemad |
| author_sort | Saad Ihsan Butt |
| collection | DOAJ |
| description | The Hermite-Hadamard inequalities are common research topics explored in different dimensions. For any interval $ [\mathrm{b_{0}}, \mathrm{b_{1}}]\subset\Re $, we construct the idea of the Hermite-Hadamard inequality, its different kinds, and its generalization in symmetric quantum calculus at $ \mathrm{b_{0}}\in[\mathrm{b_{0}}, \mathrm{b_{1}}]\subset\Re $. We also construct parallel results for the Hermite-Hadamard inequality, its different types, and its generalization on other end point $ \mathrm{b_{1}} $, and provide some examples as well. Some justification with graphical analysis is provided as well. Finally, with the assistance of these outcomes, we give a midpoint type inequality and some of its approximations for convex functions in symmetric quantum calculus. |
| first_indexed | 2024-03-07T23:53:14Z |
| format | Article |
| id | doaj.art-aaca8d6589c6439d9cb947ed370c8d0d |
| institution | Directory Open Access Journal |
| issn | 2473-6988 |
| language | English |
| last_indexed | 2024-03-07T23:53:14Z |
| publishDate | 2024-01-01 |
| publisher | AIMS Press |
| record_format | Article |
| series | AIMS Mathematics |
| spelling | doaj.art-aaca8d6589c6439d9cb947ed370c8d0d2024-02-19T01:38:57ZengAIMS PressAIMS Mathematics2473-69882024-01-01935523554910.3934/math.2024268Some Hermite-Hadamard and midpoint type inequalities in symmetric quantum calculusSaad Ihsan Butt0Muhammad Nasim Aftab 1Hossam A. Nabwey2Sina Etemad31. Department of Mathematics, COMSATS University Islamabad, Lahore Campus, Pakistan1. Department of Mathematics, COMSATS University Islamabad, Lahore Campus, Pakistan2. Department of Mathematics, College of Science and Humanities in Al-Kharj, Prince Sattam bin Abdulaziz University, Al-Kharj 11942, Saudi Arabia3. Department of Mathematics, Azarbaijan Shahid Madani University, Tabriz, Iran 4. Mathematics in Applied Sciences and Engineering Research Group, Scientific Research Center, Al-Ayen University, Nasiriyah 64001, IraqThe Hermite-Hadamard inequalities are common research topics explored in different dimensions. For any interval $ [\mathrm{b_{0}}, \mathrm{b_{1}}]\subset\Re $, we construct the idea of the Hermite-Hadamard inequality, its different kinds, and its generalization in symmetric quantum calculus at $ \mathrm{b_{0}}\in[\mathrm{b_{0}}, \mathrm{b_{1}}]\subset\Re $. We also construct parallel results for the Hermite-Hadamard inequality, its different types, and its generalization on other end point $ \mathrm{b_{1}} $, and provide some examples as well. Some justification with graphical analysis is provided as well. Finally, with the assistance of these outcomes, we give a midpoint type inequality and some of its approximations for convex functions in symmetric quantum calculus.https://www.aimspress.com/article/doi/10.3934/math.2024268?viewType=HTMLhermite-hadamard inequalityconvex functionssymmetric quantum calculus |
| spellingShingle | Saad Ihsan Butt Muhammad Nasim Aftab Hossam A. Nabwey Sina Etemad Some Hermite-Hadamard and midpoint type inequalities in symmetric quantum calculus AIMS Mathematics hermite-hadamard inequality convex functions symmetric quantum calculus |
| title | Some Hermite-Hadamard and midpoint type inequalities in symmetric quantum calculus |
| title_full | Some Hermite-Hadamard and midpoint type inequalities in symmetric quantum calculus |
| title_fullStr | Some Hermite-Hadamard and midpoint type inequalities in symmetric quantum calculus |
| title_full_unstemmed | Some Hermite-Hadamard and midpoint type inequalities in symmetric quantum calculus |
| title_short | Some Hermite-Hadamard and midpoint type inequalities in symmetric quantum calculus |
| title_sort | some hermite hadamard and midpoint type inequalities in symmetric quantum calculus |
| topic | hermite-hadamard inequality convex functions symmetric quantum calculus |
| url | https://www.aimspress.com/article/doi/10.3934/math.2024268?viewType=HTML |
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