The Specular Derivative
Fuente:
arXiv
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| Main Authors: | , |
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| Format: | Preprint |
| Published: |
2022
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| _version_ | 1866911340148293632 |
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| author | Jung, Kiyuob Oh, Jehan |
| author_facet | Jung, Kiyuob Oh, Jehan |
| contents | In this paper, we introduce a new generalized derivative, which we term the specular derivative. We establish the Quasi-Rolles' Theorem, the Quasi-Mean Value Theorem, and the Fundamental Theorem of Calculus in light of the specular derivative. We also investigate various analytic and geometric properties of specular derivatives and apply these properties to several differential equations. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2210_06062 |
| institution | arXiv |
| publishDate | 2022 |
| record_format | arxiv |
| spellingShingle | The Specular Derivative Jung, Kiyuob Oh, Jehan Classical Analysis and ODEs 26A24, 26A27, 26B12, 34A36 In this paper, we introduce a new generalized derivative, which we term the specular derivative. We establish the Quasi-Rolles' Theorem, the Quasi-Mean Value Theorem, and the Fundamental Theorem of Calculus in light of the specular derivative. We also investigate various analytic and geometric properties of specular derivatives and apply these properties to several differential equations. |
| title | The Specular Derivative |
| topic | Classical Analysis and ODEs 26A24, 26A27, 26B12, 34A36 |
| url | https://arxiv.org/abs/2210.06062 |