Estimates of upper bound for differentiable mappings related to Katugampola fractional integrals and p-convex mappings
We use the definition of a fractional integral operators, recently introduced by Katugampola, to establish a parameterized identity associated with differentiable mappings. The identity is then used to derive the estimates of upper bound for mappings whose first derivatives absolute values are p-con...
| Main Authors: | , , , |
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| Format: | Article |
| Language: | English |
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AIMS Press
2021-01-01
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| Series: | AIMS Mathematics |
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| Online Access: | http://www.aimspress.com/article/doi/10.3934/math.2021210?viewType=HTML |
| _version_ | 1818449936628318208 |
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| author | Yuping Yu Hui Lei Gou Hu Tingsong Du |
| author_facet | Yuping Yu Hui Lei Gou Hu Tingsong Du |
| author_sort | Yuping Yu |
| collection | DOAJ |
| description | We use the definition of a fractional integral operators, recently introduced by Katugampola, to establish a parameterized identity associated with differentiable mappings. The identity is then used to derive the estimates of upper bound for mappings whose first derivatives absolute values are p-convex mappings. Four examples are also provided to illustrate the obtained results. |
| first_indexed | 2024-12-14T20:43:20Z |
| format | Article |
| id | doaj.art-2548f84e38b142d6ade8b331e1be3676 |
| institution | Directory Open Access Journal |
| issn | 2473-6988 |
| language | English |
| last_indexed | 2024-12-14T20:43:20Z |
| publishDate | 2021-01-01 |
| publisher | AIMS Press |
| record_format | Article |
| series | AIMS Mathematics |
| spelling | doaj.art-2548f84e38b142d6ade8b331e1be36762022-12-21T22:48:10ZengAIMS PressAIMS Mathematics2473-69882021-01-01643525354510.3934/math.2021210Estimates of upper bound for differentiable mappings related to Katugampola fractional integrals and p-convex mappingsYuping Yu0Hui Lei1Gou Hu2Tingsong Du 31. Department of Mathematics, College of Science, China Three Gorges University, Yichang 443002, P. R. China1. Department of Mathematics, College of Science, China Three Gorges University, Yichang 443002, P. R. China2. School of Mathematics, Hunan University, Changsha 410082, P. R. China1. Department of Mathematics, College of Science, China Three Gorges University, Yichang 443002, P. R. ChinaWe use the definition of a fractional integral operators, recently introduced by Katugampola, to establish a parameterized identity associated with differentiable mappings. The identity is then used to derive the estimates of upper bound for mappings whose first derivatives absolute values are p-convex mappings. Four examples are also provided to illustrate the obtained results.http://www.aimspress.com/article/doi/10.3934/math.2021210?viewType=HTMLriemann–liouville fractional integralshadamard fractional integralsp-convex mappings |
| spellingShingle | Yuping Yu Hui Lei Gou Hu Tingsong Du Estimates of upper bound for differentiable mappings related to Katugampola fractional integrals and p-convex mappings AIMS Mathematics riemann–liouville fractional integrals hadamard fractional integrals p-convex mappings |
| title | Estimates of upper bound for differentiable mappings related to Katugampola fractional integrals and p-convex mappings |
| title_full | Estimates of upper bound for differentiable mappings related to Katugampola fractional integrals and p-convex mappings |
| title_fullStr | Estimates of upper bound for differentiable mappings related to Katugampola fractional integrals and p-convex mappings |
| title_full_unstemmed | Estimates of upper bound for differentiable mappings related to Katugampola fractional integrals and p-convex mappings |
| title_short | Estimates of upper bound for differentiable mappings related to Katugampola fractional integrals and p-convex mappings |
| title_sort | estimates of upper bound for differentiable mappings related to katugampola fractional integrals and p convex mappings |
| topic | riemann–liouville fractional integrals hadamard fractional integrals p-convex mappings |
| url | http://www.aimspress.com/article/doi/10.3934/math.2021210?viewType=HTML |
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