Hermite–Hadamard- and Pachpatte-type integral inequalities for generalized subadditive functions in the fractal sense
In this paper, we establish the generalized Hermite–Hadamard- and Pachpatte-type integral inequalities for local fractional integrals via the generalized subadditive functions. In particular, we put forward a refined version of the generalized Hermite–Hadamard-type inequalities in the framework of f...
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| Format: | Article |
| Language: | English |
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Miskolc University Press
2024-01-01
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| Series: | Miskolc Mathematical Notes |
| Online Access: | http://mat76.mat.uni-miskolc.hu/mnotes/article/4511 |
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| author | Tingsong Du Lei Xu |
| author_facet | Tingsong Du Lei Xu |
| author_sort | Tingsong Du |
| collection | DOAJ |
| description | In this paper, we establish the generalized Hermite–Hadamard- and Pachpatte-type integral inequalities for local fractional integrals via the generalized subadditive functions. In particular, we put forward a refined version of the generalized Hermite–Hadamard-type inequalities in the framework of fractal space. |
| format | Article |
| id | doaj-art-0a625f94ce224ff8842a99ecaf21b840 |
| institution | Kabale University |
| issn | 1787-2405 1787-2413 |
| language | English |
| publishDate | 2024-01-01 |
| publisher | Miskolc University Press |
| record_format | Article |
| series | Miskolc Mathematical Notes |
| spelling | doaj-art-0a625f94ce224ff8842a99ecaf21b8402025-01-21T12:00:07ZengMiskolc University PressMiskolc Mathematical Notes1787-24051787-24132024-01-0125264710.18514/MMN.2024.4511Hermite–Hadamard- and Pachpatte-type integral inequalities for generalized subadditive functions in the fractal senseTingsong DuLei XuIn this paper, we establish the generalized Hermite–Hadamard- and Pachpatte-type integral inequalities for local fractional integrals via the generalized subadditive functions. In particular, we put forward a refined version of the generalized Hermite–Hadamard-type inequalities in the framework of fractal space.http://mat76.mat.uni-miskolc.hu/mnotes/article/4511 |
| spellingShingle | Tingsong Du Lei Xu Hermite–Hadamard- and Pachpatte-type integral inequalities for generalized subadditive functions in the fractal sense Miskolc Mathematical Notes |
| title | Hermite–Hadamard- and Pachpatte-type integral inequalities for generalized subadditive functions in the fractal sense |
| title_full | Hermite–Hadamard- and Pachpatte-type integral inequalities for generalized subadditive functions in the fractal sense |
| title_fullStr | Hermite–Hadamard- and Pachpatte-type integral inequalities for generalized subadditive functions in the fractal sense |
| title_full_unstemmed | Hermite–Hadamard- and Pachpatte-type integral inequalities for generalized subadditive functions in the fractal sense |
| title_short | Hermite–Hadamard- and Pachpatte-type integral inequalities for generalized subadditive functions in the fractal sense |
| title_sort | hermite hadamard and pachpatte type integral inequalities for generalized subadditive functions in the fractal sense |
| url | http://mat76.mat.uni-miskolc.hu/mnotes/article/4511 |
| work_keys_str_mv | AT tingsongdu hermitehadamardandpachpattetypeintegralinequalitiesforgeneralizedsubadditivefunctionsinthefractalsense AT leixu hermitehadamardandpachpattetypeintegralinequalitiesforgeneralizedsubadditivefunctionsinthefractalsense |