Local Fractional Integral Hölder-Type Inequalities and Some Related Results
This paper is devoted to establishing some functional generalizations of Hölder and reverse Hölder’s inequalities with local fractional integral introduced by Yang. Then, based on the obtained results, we derive some related inequalities including local fractional integral Minkowski-type and Dresher...
| Main Authors: | , , , |
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| Format: | Article |
| Language: | English |
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MDPI AG
2022-03-01
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| Series: | Fractal and Fractional |
| Subjects: | |
| Online Access: | https://www.mdpi.com/2504-3110/6/4/195 |
| _version_ | 1797504785884119040 |
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| author | Guangsheng Chen Jiansuo Liang Hari M. Srivastava Chao Lv |
| author_facet | Guangsheng Chen Jiansuo Liang Hari M. Srivastava Chao Lv |
| author_sort | Guangsheng Chen |
| collection | DOAJ |
| description | This paper is devoted to establishing some functional generalizations of Hölder and reverse Hölder’s inequalities with local fractional integral introduced by Yang. Then, based on the obtained results, we derive some related inequalities including local fractional integral Minkowski-type and Dresher-type inequalities, which are some extensions of several existing local fractional integral inequalities. |
| first_indexed | 2024-03-10T04:09:18Z |
| format | Article |
| id | doaj.art-817e8d892a6c4d2ab303ef8faa4cb4d3 |
| institution | Directory Open Access Journal |
| issn | 2504-3110 |
| language | English |
| last_indexed | 2024-03-10T04:09:18Z |
| publishDate | 2022-03-01 |
| publisher | MDPI AG |
| record_format | Article |
| series | Fractal and Fractional |
| spelling | doaj.art-817e8d892a6c4d2ab303ef8faa4cb4d32023-11-23T08:15:21ZengMDPI AGFractal and Fractional2504-31102022-03-016419510.3390/fractalfract6040195Local Fractional Integral Hölder-Type Inequalities and Some Related ResultsGuangsheng Chen0Jiansuo Liang1Hari M. Srivastava2Chao Lv3College of Mathematics and Computer Science, Guangxi Science & Technology Normal University, Laibin 546199, ChinaDepartment of Teacher Education, Guangxi Modern Vocational Technology College, Hechi 547000, ChinaDepartment of Mathematics and Statistics, University of Victoria, Victoria, BC V8W 3R4, CanadaCollege of Mathematics and Computer Science, Guangxi Science & Technology Normal University, Laibin 546199, ChinaThis paper is devoted to establishing some functional generalizations of Hölder and reverse Hölder’s inequalities with local fractional integral introduced by Yang. Then, based on the obtained results, we derive some related inequalities including local fractional integral Minkowski-type and Dresher-type inequalities, which are some extensions of several existing local fractional integral inequalities.https://www.mdpi.com/2504-3110/6/4/195local fractional integralHölder-type inequalityMinkowski-type inequalityDresher-type inequality |
| spellingShingle | Guangsheng Chen Jiansuo Liang Hari M. Srivastava Chao Lv Local Fractional Integral Hölder-Type Inequalities and Some Related Results Fractal and Fractional local fractional integral Hölder-type inequality Minkowski-type inequality Dresher-type inequality |
| title | Local Fractional Integral Hölder-Type Inequalities and Some Related Results |
| title_full | Local Fractional Integral Hölder-Type Inequalities and Some Related Results |
| title_fullStr | Local Fractional Integral Hölder-Type Inequalities and Some Related Results |
| title_full_unstemmed | Local Fractional Integral Hölder-Type Inequalities and Some Related Results |
| title_short | Local Fractional Integral Hölder-Type Inequalities and Some Related Results |
| title_sort | local fractional integral holder type inequalities and some related results |
| topic | local fractional integral Hölder-type inequality Minkowski-type inequality Dresher-type inequality |
| url | https://www.mdpi.com/2504-3110/6/4/195 |
| work_keys_str_mv | AT guangshengchen localfractionalintegralholdertypeinequalitiesandsomerelatedresults AT jiansuoliang localfractionalintegralholdertypeinequalitiesandsomerelatedresults AT harimsrivastava localfractionalintegralholdertypeinequalitiesandsomerelatedresults AT chaolv localfractionalintegralholdertypeinequalitiesandsomerelatedresults |