Growth and Form

In Press, Corrected Proof, Available Online: 18 December 2020

A Note on the D-trigonometry and the Relevant D-Fourier Expansions

Authors
Paolo Emilio Ricci*
Mathematics Section, International Telematic University UniNettuno, Corso Vittorio Emanuele II, 39, Roma 00186, Italia
Corresponding Author
Paolo Emilio Ricci
Received 7 December 2020, Accepted 7 December 2020, Available Online 18 December 2020.
DOI
https://doi.org/10.2991/gaf.k.201210.002How to use a DOI?
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 Authors. 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/).

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Journal
Growth and Form
Publication Date
2020/12
ISSN (Online)
2589-8426
DOI
https://doi.org/10.2991/gaf.k.201210.002How to use a DOI?
Copyright
© 2020 The Authors. 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
TI  - A Note on the D-trigonometry and the Relevant D-Fourier Expansions
JO  - Growth and Form
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  -