Some inequalities for multiplicative tempered fractional integrals involving the λ-incomplete gamma functions
In this paper, we introduce a class of the multiplicative tempered fractional integral operators. Then, we investigate two Hermite–Hadamard type inequalities for this class. By using the established identity and the multiplicative convexity, we establish some integral inequalities for the multiplica...
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| Format: | Article |
| Language: | English |
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AIMS Press
2021-05-01
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| Series: | AIMS Mathematics |
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| Online Access: | https://www.aimspress.com/article/doi/10.3934/math.2021436?viewType=HTML |
| _version_ | 1819088932020682752 |
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| author | Hao Fu Yu Peng Tingsong Du |
| author_facet | Hao Fu Yu Peng Tingsong Du |
| author_sort | Hao Fu |
| collection | DOAJ |
| description | In this paper, we introduce a class of the multiplicative tempered fractional integral operators. Then, we investigate two Hermite–Hadamard type inequalities for this class. By using the established identity and the multiplicative convexity, we establish some integral inequalities for the multiplicative tempered fractional integrals involving the λ-incomplete gamma functions. And our results obtained in the present paper generalize some results given by Budak and Tunç (2020) and Ali et al. (2019). Also, we provide three examples to demonstrate the simplicities of the calculations. |
| first_indexed | 2024-12-21T21:59:53Z |
| format | Article |
| id | doaj.art-0c247de8a4ff458b90acaa332a17f76f |
| institution | Directory Open Access Journal |
| issn | 2473-6988 |
| language | English |
| last_indexed | 2024-12-21T21:59:53Z |
| publishDate | 2021-05-01 |
| publisher | AIMS Press |
| record_format | Article |
| series | AIMS Mathematics |
| spelling | doaj.art-0c247de8a4ff458b90acaa332a17f76f2022-12-21T18:48:51ZengAIMS PressAIMS Mathematics2473-69882021-05-01677456747810.3934/math.2021436Some inequalities for multiplicative tempered fractional integrals involving the λ-incomplete gamma functionsHao Fu0Yu Peng 1Tingsong Du21. Department of Mathematics, College of Science, China Three Gorges University, Yichang 443002, China1. Department of Mathematics, College of Science, China Three Gorges University, Yichang 443002, China1. Department of Mathematics, College of Science, China Three Gorges University, Yichang 443002, China 2. Three Gorges Mathematical Research Center, China Three Gorges University, Yichang 443002, ChinaIn this paper, we introduce a class of the multiplicative tempered fractional integral operators. Then, we investigate two Hermite–Hadamard type inequalities for this class. By using the established identity and the multiplicative convexity, we establish some integral inequalities for the multiplicative tempered fractional integrals involving the λ-incomplete gamma functions. And our results obtained in the present paper generalize some results given by Budak and Tunç (2020) and Ali et al. (2019). Also, we provide three examples to demonstrate the simplicities of the calculations.https://www.aimspress.com/article/doi/10.3934/math.2021436?viewType=HTMLhermite–hadamard inequalityfractional integralsmultiplicative tempered fractional integralsmultiplicatively convex mappings |
| spellingShingle | Hao Fu Yu Peng Tingsong Du Some inequalities for multiplicative tempered fractional integrals involving the λ-incomplete gamma functions AIMS Mathematics hermite–hadamard inequality fractional integrals multiplicative tempered fractional integrals multiplicatively convex mappings |
| title | Some inequalities for multiplicative tempered fractional integrals involving the λ-incomplete gamma functions |
| title_full | Some inequalities for multiplicative tempered fractional integrals involving the λ-incomplete gamma functions |
| title_fullStr | Some inequalities for multiplicative tempered fractional integrals involving the λ-incomplete gamma functions |
| title_full_unstemmed | Some inequalities for multiplicative tempered fractional integrals involving the λ-incomplete gamma functions |
| title_short | Some inequalities for multiplicative tempered fractional integrals involving the λ-incomplete gamma functions |
| title_sort | some inequalities for multiplicative tempered fractional integrals involving the λ incomplete gamma functions |
| topic | hermite–hadamard inequality fractional integrals multiplicative tempered fractional integrals multiplicatively convex mappings |
| url | https://www.aimspress.com/article/doi/10.3934/math.2021436?viewType=HTML |
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