Paolo Emilio Ricci*
Mathematics Section, International Telematic University UniNettuno, Corso Vittorio Emanuele II, 39, Roma 00186, Italia
Received 7 December 2020, Accepted 7 December 2020, Available Online 18 December 2020.
- 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.
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