Certain Bounds Related to Multi-Parameterized <inline-formula> <tex-math notation="LaTeX">$k$ </tex-math></inline-formula>-Fractional Integral Inequalities and Their Applications
A <inline-formula> <tex-math notation="LaTeX">$k$ </tex-math></inline-formula>-fractional integral identity with multiple parameters is investigated. Based on this identity, some estimation-type results related to <inline-formula> <tex-math notation="L...
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| Format: | Article |
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IEEE
2019-01-01
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| Series: | IEEE Access |
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| Online Access: | https://ieeexplore.ieee.org/document/8819931/ |
| _version_ | 1811212243958759424 |
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| author | Chunyan Luo Bo Yu Yao Zhang Tingsong Du |
| author_facet | Chunyan Luo Bo Yu Yao Zhang Tingsong Du |
| author_sort | Chunyan Luo |
| collection | DOAJ |
| description | A <inline-formula> <tex-math notation="LaTeX">$k$ </tex-math></inline-formula>-fractional integral identity with multiple parameters is investigated. Based on this identity, some estimation-type results related to <inline-formula> <tex-math notation="LaTeX">$k$ </tex-math></inline-formula>-fractional integral inequalities for the first-order differentiable functions are obtained. These results are then applied to the estimation of cumulative distribution function and some other special means. |
| first_indexed | 2024-04-12T05:24:50Z |
| format | Article |
| id | doaj.art-972f595f453a4bb28758b3ffda61cead |
| institution | Directory Open Access Journal |
| issn | 2169-3536 |
| language | English |
| last_indexed | 2024-04-12T05:24:50Z |
| publishDate | 2019-01-01 |
| publisher | IEEE |
| record_format | Article |
| series | IEEE Access |
| spelling | doaj.art-972f595f453a4bb28758b3ffda61cead2022-12-22T03:46:19ZengIEEEIEEE Access2169-35362019-01-01712466212467310.1109/ACCESS.2019.29383418819931Certain Bounds Related to Multi-Parameterized <inline-formula> <tex-math notation="LaTeX">$k$ </tex-math></inline-formula>-Fractional Integral Inequalities and Their ApplicationsChunyan Luo0Bo Yu1https://orcid.org/0000-0002-3135-1589Yao Zhang2Tingsong Du3Department of Mathematics, College of Science, China Three Gorges University, Yichang, ChinaDepartment of Mathematics, College of Science, China Three Gorges University, Yichang, ChinaDepartment of Mathematics, College of Science, China Three Gorges University, Yichang, ChinaDepartment of Mathematics, College of Science, China Three Gorges University, Yichang, ChinaA <inline-formula> <tex-math notation="LaTeX">$k$ </tex-math></inline-formula>-fractional integral identity with multiple parameters is investigated. Based on this identity, some estimation-type results related to <inline-formula> <tex-math notation="LaTeX">$k$ </tex-math></inline-formula>-fractional integral inequalities for the first-order differentiable functions are obtained. These results are then applied to the estimation of cumulative distribution function and some other special means.https://ieeexplore.ieee.org/document/8819931/Hadamard’s inequalitygeneralized (α,<italic xmlns:ali="http://www.niso.org/schemas/ali/1.0/" xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink" xmlns:xsi="http://www.w3.org/2001/XMLSchema-instance">m</italic>)-preinvex functions<italic xmlns:ali="http://www.niso.org/schemas/ali/1.0/" xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink" xmlns:xsi="http://www.w3.org/2001/XMLSchema-instance">k</italic>-fractional integrals |
| spellingShingle | Chunyan Luo Bo Yu Yao Zhang Tingsong Du Certain Bounds Related to Multi-Parameterized <inline-formula> <tex-math notation="LaTeX">$k$ </tex-math></inline-formula>-Fractional Integral Inequalities and Their Applications IEEE Access Hadamard’s inequality generalized (α,<italic xmlns:ali="http://www.niso.org/schemas/ali/1.0/" xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink" xmlns:xsi="http://www.w3.org/2001/XMLSchema-instance">m</italic>)-preinvex functions <italic xmlns:ali="http://www.niso.org/schemas/ali/1.0/" xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink" xmlns:xsi="http://www.w3.org/2001/XMLSchema-instance">k</italic>-fractional integrals |
| title | Certain Bounds Related to Multi-Parameterized <inline-formula> <tex-math notation="LaTeX">$k$ </tex-math></inline-formula>-Fractional Integral Inequalities and Their Applications |
| title_full | Certain Bounds Related to Multi-Parameterized <inline-formula> <tex-math notation="LaTeX">$k$ </tex-math></inline-formula>-Fractional Integral Inequalities and Their Applications |
| title_fullStr | Certain Bounds Related to Multi-Parameterized <inline-formula> <tex-math notation="LaTeX">$k$ </tex-math></inline-formula>-Fractional Integral Inequalities and Their Applications |
| title_full_unstemmed | Certain Bounds Related to Multi-Parameterized <inline-formula> <tex-math notation="LaTeX">$k$ </tex-math></inline-formula>-Fractional Integral Inequalities and Their Applications |
| title_short | Certain Bounds Related to Multi-Parameterized <inline-formula> <tex-math notation="LaTeX">$k$ </tex-math></inline-formula>-Fractional Integral Inequalities and Their Applications |
| title_sort | certain bounds related to multi parameterized inline formula tex math notation latex k tex math inline formula fractional integral inequalities and their applications |
| topic | Hadamard’s inequality generalized (α,<italic xmlns:ali="http://www.niso.org/schemas/ali/1.0/" xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink" xmlns:xsi="http://www.w3.org/2001/XMLSchema-instance">m</italic>)-preinvex functions <italic xmlns:ali="http://www.niso.org/schemas/ali/1.0/" xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink" xmlns:xsi="http://www.w3.org/2001/XMLSchema-instance">k</italic>-fractional integrals |
| url | https://ieeexplore.ieee.org/document/8819931/ |
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