Generalizations of Hermite–Hadamard Type Integral Inequalities for Convex Functions
In the paper, with the help of two known integral identities and by virtue of the classical Hölder integral inequality, the authors establish several new integral inequalities of the Hermite–Hadamard type for convex functions. These newly established inequalities generalize some known results.
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| Format: | Article |
| Language: | English |
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MDPI AG
2021-06-01
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| Series: | Axioms |
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| Online Access: | https://www.mdpi.com/2075-1680/10/3/136 |
| _version_ | 1827601051842248704 |
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| author | Ying Wu Hong-Ping Yin Bai-Ni Guo |
| author_facet | Ying Wu Hong-Ping Yin Bai-Ni Guo |
| author_sort | Ying Wu |
| collection | DOAJ |
| description | In the paper, with the help of two known integral identities and by virtue of the classical Hölder integral inequality, the authors establish several new integral inequalities of the Hermite–Hadamard type for convex functions. These newly established inequalities generalize some known results. |
| first_indexed | 2024-03-09T04:47:45Z |
| format | Article |
| id | doaj.art-44da942b7b5b4fa8a52b66101b07d120 |
| institution | Directory Open Access Journal |
| issn | 2075-1680 |
| language | English |
| last_indexed | 2024-03-09T04:47:45Z |
| publishDate | 2021-06-01 |
| publisher | MDPI AG |
| record_format | Article |
| series | Axioms |
| spelling | doaj.art-44da942b7b5b4fa8a52b66101b07d1202023-12-03T13:14:02ZengMDPI AGAxioms2075-16802021-06-0110313610.3390/axioms10030136Generalizations of Hermite–Hadamard Type Integral Inequalities for Convex FunctionsYing Wu0Hong-Ping Yin1Bai-Ni Guo2College of Mathematics and Physics, Inner Mongolia University for Nationalities, Tongliao 028043, ChinaCollege of Mathematics and Physics, Inner Mongolia University for Nationalities, Tongliao 028043, ChinaSchool of Mathematics and Informatics, Henan Polytechnic University, Jiaozuo 454010, ChinaIn the paper, with the help of two known integral identities and by virtue of the classical Hölder integral inequality, the authors establish several new integral inequalities of the Hermite–Hadamard type for convex functions. These newly established inequalities generalize some known results.https://www.mdpi.com/2075-1680/10/3/136generalizationintegral inequalityconvex functionHermite–Hadamard type |
| spellingShingle | Ying Wu Hong-Ping Yin Bai-Ni Guo Generalizations of Hermite–Hadamard Type Integral Inequalities for Convex Functions Axioms generalization integral inequality convex function Hermite–Hadamard type |
| title | Generalizations of Hermite–Hadamard Type Integral Inequalities for Convex Functions |
| title_full | Generalizations of Hermite–Hadamard Type Integral Inequalities for Convex Functions |
| title_fullStr | Generalizations of Hermite–Hadamard Type Integral Inequalities for Convex Functions |
| title_full_unstemmed | Generalizations of Hermite–Hadamard Type Integral Inequalities for Convex Functions |
| title_short | Generalizations of Hermite–Hadamard Type Integral Inequalities for Convex Functions |
| title_sort | generalizations of hermite hadamard type integral inequalities for convex functions |
| topic | generalization integral inequality convex function Hermite–Hadamard type |
| url | https://www.mdpi.com/2075-1680/10/3/136 |
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