Sign in to use this feature.

Years

Between: -

Subjects

remove_circle_outline
remove_circle_outline
remove_circle_outline
remove_circle_outline

Journals

Article Types

Countries / Regions

Search Results (1)

Search Parameters:
Keywords = Hahn-partial derivative

Order results
Result details
Results per page
Select all
Export citation of selected articles as:
13 pages, 283 KB  
Article
The Directional Derivative in General Quantum Calculus
by Avin O. Karim, Enas M. Shehata and José Luis Cardoso
Symmetry 2022, 14(9), 1766; https://doi.org/10.3390/sym14091766 - 24 Aug 2022
Cited by 5 | Viewed by 1550
Abstract
In this paper, we define the β-partial derivative as well as the β-directional derivative of a multi-variable function based on the β-difference operator, Dβ, which is defined by [...] Read more.
In this paper, we define the β-partial derivative as well as the β-directional derivative of a multi-variable function based on the β-difference operator, Dβ, which is defined by Dβf(t)=f(β(t))f(t)/β(t)t, where β is a strictly increasing continuous function. Some properties are proved. Furthermore, the β-gradient vector and the β-gradient directional derivative of a multi-variable function are introduced. Finally, we deduce the Hahn-partial and the Hahn-directional derivatives associated with the Hahn difference operator. Full article
(This article belongs to the Section Mathematics)
Back to TopTop