Ostrowski Type Inequalities for s-Convex Functions via q-Integrals
The new outcomes of the present paper are q-analogues (q stands for quantum calculus) of Hermite-Hadamard type inequality, Montgomery identity, and Ostrowski type inequalities for s-convex mappings. Some new bounds of Ostrowski type functionals are obtained by using Hölder, Minkowski, and power mean...
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| Main Authors: | , , , , |
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| Format: | Article |
| Language: | English |
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Wiley
2022-01-01
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| Series: | Journal of Function Spaces |
| Online Access: | http://dx.doi.org/10.1155/2022/8063803 |
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| _version_ | 1832565267755958272 |
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| author | Khuram Ali Khan Allah Ditta Ammara Nosheen Khalid Mahmood Awan Rostin Matendo Mabela |
| author_facet | Khuram Ali Khan Allah Ditta Ammara Nosheen Khalid Mahmood Awan Rostin Matendo Mabela |
| author_sort | Khuram Ali Khan |
| collection | DOAJ |
| description | The new outcomes of the present paper are q-analogues (q stands for quantum calculus) of Hermite-Hadamard type inequality, Montgomery identity, and Ostrowski type inequalities for s-convex mappings. Some new bounds of Ostrowski type functionals are obtained by using Hölder, Minkowski, and power mean inequalities via quantum calculus. Special cases of new results include existing results from the literature. |
| format | Article |
| id | doaj-art-df03729122af443d8f453df34f491a53 |
| institution | Kabale University |
| issn | 2314-8888 |
| language | English |
| publishDate | 2022-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Function Spaces |
| spelling | doaj-art-df03729122af443d8f453df34f491a532025-02-03T01:08:57ZengWileyJournal of Function Spaces2314-88882022-01-01202210.1155/2022/8063803Ostrowski Type Inequalities for s-Convex Functions via q-IntegralsKhuram Ali Khan0Allah Ditta1Ammara Nosheen2Khalid Mahmood Awan3Rostin Matendo Mabela4Department of MathematicsDepartment of MathematicsDepartment of MathematicsDepartment of MathematicsDepartment of Maths and Computer ScienceThe new outcomes of the present paper are q-analogues (q stands for quantum calculus) of Hermite-Hadamard type inequality, Montgomery identity, and Ostrowski type inequalities for s-convex mappings. Some new bounds of Ostrowski type functionals are obtained by using Hölder, Minkowski, and power mean inequalities via quantum calculus. Special cases of new results include existing results from the literature.http://dx.doi.org/10.1155/2022/8063803 |
| spellingShingle | Khuram Ali Khan Allah Ditta Ammara Nosheen Khalid Mahmood Awan Rostin Matendo Mabela Ostrowski Type Inequalities for s-Convex Functions via q-Integrals Journal of Function Spaces |
| title | Ostrowski Type Inequalities for s-Convex Functions via q-Integrals |
| title_full | Ostrowski Type Inequalities for s-Convex Functions via q-Integrals |
| title_fullStr | Ostrowski Type Inequalities for s-Convex Functions via q-Integrals |
| title_full_unstemmed | Ostrowski Type Inequalities for s-Convex Functions via q-Integrals |
| title_short | Ostrowski Type Inequalities for s-Convex Functions via q-Integrals |
| title_sort | ostrowski type inequalities for s convex functions via q integrals |
| url | http://dx.doi.org/10.1155/2022/8063803 |
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