Integral inequalities of Hermite-Hadamard type via $ q-h $ integrals
The well-known Hermite-Hadamard inequality for convex functions is extensively studied for different kinds of integrals and derivatives. This paper investigates some of its variants for $ q-h $-integrals using properties of convex functions. Inequalities for $ q $-integrals that have been published...
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| Format: | Article |
| Language: | English |
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AIMS Press
2023-05-01
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| Series: | AIMS Mathematics |
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| Online Access: | https://www.aimspress.com/article/doi/10.3934/math.2023826?viewType=HTML |
| _version_ | 1797822557147103232 |
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| author | Dong Chen Matloob Anwar Ghulam Farid Waseela Bibi |
| author_facet | Dong Chen Matloob Anwar Ghulam Farid Waseela Bibi |
| author_sort | Dong Chen |
| collection | DOAJ |
| description | The well-known Hermite-Hadamard inequality for convex functions is extensively studied for different kinds of integrals and derivatives. This paper investigates some of its variants for $ q-h $-integrals using properties of convex functions. Inequalities for $ q $-integrals that have been published in recent years can be extracted from the main results of this paper. |
| first_indexed | 2024-03-13T10:10:51Z |
| format | Article |
| id | doaj.art-bf81d861f1284cd6818225932f517dbc |
| institution | Directory Open Access Journal |
| issn | 2473-6988 |
| language | English |
| last_indexed | 2024-03-13T10:10:51Z |
| publishDate | 2023-05-01 |
| publisher | AIMS Press |
| record_format | Article |
| series | AIMS Mathematics |
| spelling | doaj.art-bf81d861f1284cd6818225932f517dbc2023-05-22T01:13:23ZengAIMS PressAIMS Mathematics2473-69882023-05-0187161651617410.3934/math.2023826Integral inequalities of Hermite-Hadamard type via $ q-h $ integralsDong Chen0Matloob Anwar1Ghulam Farid2Waseela Bibi 31. School of Electronic Information and Electrical Engineering, Chengdu University, Chengdu, China 2. Key Laboratory of Pattern Recognition and Intelligent Information Processing of Sichuan, Chengdu University, Chengdu, China3. School of Natural Sciences, NUST, Islamabad, Pakistan4. Department of Mathematics, COMSATS Islamabad, Attock Campus, Pakistan4. Department of Mathematics, COMSATS Islamabad, Attock Campus, PakistanThe well-known Hermite-Hadamard inequality for convex functions is extensively studied for different kinds of integrals and derivatives. This paper investigates some of its variants for $ q-h $-integrals using properties of convex functions. Inequalities for $ q $-integrals that have been published in recent years can be extracted from the main results of this paper.https://www.aimspress.com/article/doi/10.3934/math.2023826?viewType=HTMLhermite-hadamard inequalityconvex function$ q-h $-integral$ q-h $-derivative$ q $-integral |
| spellingShingle | Dong Chen Matloob Anwar Ghulam Farid Waseela Bibi Integral inequalities of Hermite-Hadamard type via $ q-h $ integrals AIMS Mathematics hermite-hadamard inequality convex function $ q-h $-integral $ q-h $-derivative $ q $-integral |
| title | Integral inequalities of Hermite-Hadamard type via $ q-h $ integrals |
| title_full | Integral inequalities of Hermite-Hadamard type via $ q-h $ integrals |
| title_fullStr | Integral inequalities of Hermite-Hadamard type via $ q-h $ integrals |
| title_full_unstemmed | Integral inequalities of Hermite-Hadamard type via $ q-h $ integrals |
| title_short | Integral inequalities of Hermite-Hadamard type via $ q-h $ integrals |
| title_sort | integral inequalities of hermite hadamard type via q h integrals |
| topic | hermite-hadamard inequality convex function $ q-h $-integral $ q-h $-derivative $ q $-integral |
| url | https://www.aimspress.com/article/doi/10.3934/math.2023826?viewType=HTML |
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