Generalized conformable mean value theorems with applications to multivariable calculus
The conformable derivative and its properties have been recently introduced. In this research work, we propose and prove some new results on the conformable calculus. By using the definitions and results on conformable derivatives of higher order, we generalize the theorems of the mean value which f...
| Autores: | , , , |
|---|---|
| Formato: | artículo |
| Estado: | Versión publicada |
| Fecha de publicación: | 2021 |
| País: | España |
| Recursos: | Universidad Politécnica de Cartagena(UPCT) |
| Repositorio: | Repositorio Digital UPCT |
| OAI Identifier: | oai:repositorio.upct.es:10317/13283 |
| Acesso em linha: | http://hdl.handle.net/10317/13283 https://www.hindawi.com/journals/jmath/2021/5528537/ |
| Access Level: | acceso abierto |
| Palavra-chave: | Conformable derivative Conformable calculus Classical multivariable calculus Finite increments Matemática Aplicada 12 Matemáticas |
| Resumo: | The conformable derivative and its properties have been recently introduced. In this research work, we propose and prove some new results on the conformable calculus. By using the definitions and results on conformable derivatives of higher order, we generalize the theorems of the mean value which follow the same argument as in the classical calculus. The value of conformable Taylor remainder is obtained through the generalized conformable theorem of the mean value. Finally, we introduce the conformable version of two interesting results of classical multivariable calculus via the conformable formula of finite increments. |
|---|