Certain Properties of the Modified Degenerate Gamma Function
In this paper, we prove some inequalities satisfied by the modified degenerate gamma function which was recently introduced. The tools employed include Holder’s inequality, mean value theorem, Hermite–Hadamard’s inequality, and Young’s inequality. By some parameter variations, the established result...
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| Format: | Article |
| Language: | English |
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Wiley
2021-01-01
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| Series: | Journal of Mathematics |
| Online Access: | http://dx.doi.org/10.1155/2021/8864131 |
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| _version_ | 1832553990462636032 |
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| author | Kwara Nantomah |
| author_facet | Kwara Nantomah |
| author_sort | Kwara Nantomah |
| collection | DOAJ |
| description | In this paper, we prove some inequalities satisfied by the modified degenerate gamma function which was recently introduced. The tools employed include Holder’s inequality, mean value theorem, Hermite–Hadamard’s inequality, and Young’s inequality. By some parameter variations, the established results reduce to the corresponding results for the classical gamma function. |
| format | Article |
| id | doaj-art-008b821b26ed4bfdad84682ca83fb922 |
| institution | Kabale University |
| issn | 2314-4629 2314-4785 |
| language | English |
| publishDate | 2021-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Mathematics |
| spelling | doaj-art-008b821b26ed4bfdad84682ca83fb9222025-02-03T05:52:39ZengWileyJournal of Mathematics2314-46292314-47852021-01-01202110.1155/2021/88641318864131Certain Properties of the Modified Degenerate Gamma FunctionKwara Nantomah0Department of Mathematics, Faculty of Mathematical Sciences, C. K. Tedam University of Technology and Applied Sciences, P. O. Box 24, Navrongo, Upper-East Region, GhanaIn this paper, we prove some inequalities satisfied by the modified degenerate gamma function which was recently introduced. The tools employed include Holder’s inequality, mean value theorem, Hermite–Hadamard’s inequality, and Young’s inequality. By some parameter variations, the established results reduce to the corresponding results for the classical gamma function.http://dx.doi.org/10.1155/2021/8864131 |
| spellingShingle | Kwara Nantomah Certain Properties of the Modified Degenerate Gamma Function Journal of Mathematics |
| title | Certain Properties of the Modified Degenerate Gamma Function |
| title_full | Certain Properties of the Modified Degenerate Gamma Function |
| title_fullStr | Certain Properties of the Modified Degenerate Gamma Function |
| title_full_unstemmed | Certain Properties of the Modified Degenerate Gamma Function |
| title_short | Certain Properties of the Modified Degenerate Gamma Function |
| title_sort | certain properties of the modified degenerate gamma function |
| url | http://dx.doi.org/10.1155/2021/8864131 |
| work_keys_str_mv | AT kwaranantomah certainpropertiesofthemodifieddegenerategammafunction |