A Note on the D-trigonometry and the Relevant D-Fourier Expansions
- https://doi.org/10.2991/gaf.k.201210.002How to use a DOI?
- Generalized trigonometry; generalized Fourier analysis; approximation of piece-wise linear functions
Considering the diamond, i.e. the square inclined at an angle of 45°, it is possible to define the analogues of circular functions and to construct formulas that translate the trigonometric ones. The relative D-trigonometric functions have geometric shapes closely related to the corresponding classical ones, so that the orthogonality property can also be proven and D-Fourier expansions follow easily. Possible applications can be found in the representation piece-wise linear functions in a simpler way form compared to ordinary Fourier analysis.
- © 2020 The Author. Published by Atlantis Press B.V.
- Open Access
- This is an open access article distributed under the CC BY-NC 4.0 license (http://creativecommons.org/licenses/by-nc/4.0/).
Cite this article
TY - JOUR AU - Paolo Emilio Ricci PY - 2020 DA - 2020/12/18 TI - A Note on the D-trigonometry and the Relevant D-Fourier Expansions JO - Growth and Form SP - 11 EP - 16 VL - 2 IS - 1 SN - 2589-8426 UR - https://doi.org/10.2991/gaf.k.201210.002 DO - https://doi.org/10.2991/gaf.k.201210.002 ID - Ricci2020 ER -