Volume 2, Issue 1, March 2021, Pages 11 - 16
A Note on the D-trigonometry and the Relevant D-Fourier Expansions
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Authors
Paolo Emilio Ricci*
Mathematics Section, International Telematic University UniNettuno, Corso Vittorio Emanuele II, 39, Roma 00186, Italia
Corresponding Author
Paolo Emilio Ricci
Article History
Received 7 December 2020Accepted 7 December 2020
Available Online 18 December 2020
- DOI
- https://doi.org/10.2991/gaf.k.201210.002
- Keywords
- Generalized trigonometry
generalized Fourier analysis
approximation of piece-wise linear functions - Abstract
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.
- Copyright
- © 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
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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 -
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