On some new Hermite-Hadamard and Ostrowski type inequalities for s-convex functions in (p, q)-calculus with applications
In this study, we establish some new Hermite-Hadamard type inequalities for s-convex functions in the second sense using the post-quantum calculus. Moreover, we prove a new (p,q)\left(p,q)-integral identity to prove some new Ostrowski type inequalities for (p,q)\left(p,q)-differentiable functions. W...
| Main Authors: | , , , , |
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| Format: | Article |
| Language: | English |
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De Gruyter
2022-08-01
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| Series: | Open Mathematics |
| Subjects: | |
| Online Access: | https://doi.org/10.1515/math-2022-0037 |
| _version_ | 1828381312130482176 |
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| author | You Xue-Xiao Ali Muhammad Aamir Kalsoom Humaira Soontharanon Jarunee Sitthiwirattham Thanin |
| author_facet | You Xue-Xiao Ali Muhammad Aamir Kalsoom Humaira Soontharanon Jarunee Sitthiwirattham Thanin |
| author_sort | You Xue-Xiao |
| collection | DOAJ |
| description | In this study, we establish some new Hermite-Hadamard type inequalities for s-convex functions in the second sense using the post-quantum calculus. Moreover, we prove a new (p,q)\left(p,q)-integral identity to prove some new Ostrowski type inequalities for (p,q)\left(p,q)-differentiable functions. We also show that the newly discovered results are generalizations of comparable results in the literature. Finally, we give application to special means of real numbers using the newly proved inequalities. |
| first_indexed | 2024-12-10T04:12:41Z |
| format | Article |
| id | doaj.art-c3e59d7d373b45c7bccbf3cedfce33f0 |
| institution | Directory Open Access Journal |
| issn | 2391-5455 |
| language | English |
| last_indexed | 2024-12-10T04:12:41Z |
| publishDate | 2022-08-01 |
| publisher | De Gruyter |
| record_format | Article |
| series | Open Mathematics |
| spelling | doaj.art-c3e59d7d373b45c7bccbf3cedfce33f02022-12-22T02:02:41ZengDe GruyterOpen Mathematics2391-54552022-08-0120170772310.1515/math-2022-0037On some new Hermite-Hadamard and Ostrowski type inequalities for s-convex functions in (p, q)-calculus with applicationsYou Xue-Xiao0Ali Muhammad Aamir1Kalsoom Humaira2Soontharanon Jarunee3Sitthiwirattham Thanin4School of Mathematics and Statistics, Hubei Normal University, Huangshi, Hubei 435002, ChinaJiangsu Key Laboratory for NSLSCS, School of Mathematical Sciences, Nanjing Normal University, Nanjing, 210023, ChinaSchool of Mathematical Sciences, Zhejiang University, Hangzhou, 310027, P. R. ChinaDepartment of Mathematics, Faculty of Applied Science, King Mongkut’s University of Technology North Bangkok, Bangkok, 10800, ThailandMathematics Department, Faculty of Science and Technology, Suan Dusit University, Bangkok, 10300, ThailandIn this study, we establish some new Hermite-Hadamard type inequalities for s-convex functions in the second sense using the post-quantum calculus. Moreover, we prove a new (p,q)\left(p,q)-integral identity to prove some new Ostrowski type inequalities for (p,q)\left(p,q)-differentiable functions. We also show that the newly discovered results are generalizations of comparable results in the literature. Finally, we give application to special means of real numbers using the newly proved inequalities.https://doi.org/10.1515/math-2022-0037hermite-hadamard inequalityostrowski inequality(p, q)-integralpost-quantum calculuss-convex functions26d1026d1526a51 |
| spellingShingle | You Xue-Xiao Ali Muhammad Aamir Kalsoom Humaira Soontharanon Jarunee Sitthiwirattham Thanin On some new Hermite-Hadamard and Ostrowski type inequalities for s-convex functions in (p, q)-calculus with applications Open Mathematics hermite-hadamard inequality ostrowski inequality (p, q)-integral post-quantum calculus s-convex functions 26d10 26d15 26a51 |
| title | On some new Hermite-Hadamard and Ostrowski type inequalities for s-convex functions in (p, q)-calculus with applications |
| title_full | On some new Hermite-Hadamard and Ostrowski type inequalities for s-convex functions in (p, q)-calculus with applications |
| title_fullStr | On some new Hermite-Hadamard and Ostrowski type inequalities for s-convex functions in (p, q)-calculus with applications |
| title_full_unstemmed | On some new Hermite-Hadamard and Ostrowski type inequalities for s-convex functions in (p, q)-calculus with applications |
| title_short | On some new Hermite-Hadamard and Ostrowski type inequalities for s-convex functions in (p, q)-calculus with applications |
| title_sort | on some new hermite hadamard and ostrowski type inequalities for s convex functions in p q calculus with applications |
| topic | hermite-hadamard inequality ostrowski inequality (p, q)-integral post-quantum calculus s-convex functions 26d10 26d15 26a51 |
| url | https://doi.org/10.1515/math-2022-0037 |
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