Abstract
The classical orthonormal system of Walsh functions is generalized in a new direction, called Walsh-similar functions, different from the already well-known ones [5], [7], [9], [14], [21] and from the Generalized Walsh-like functions [10], [11]. The definition of the Walsh-similar functions involves real parameters and allows adaptation of the orthonormal system to a particular function by an appropriate choice of these parameters. A Walsh-similar function may have any given fractal dimension.
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© 1999 Springer Basel AG
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Sendov, B. (1999). Adaptive Approximation with Walsh-similar Functions. In: Müller, M.W., Buhmann, M.D., Mache, D.H., Felten, M. (eds) New Developments in Approximation Theory. ISNM International Series of Numerical Mathematics, vol 132. Birkhäuser, Basel. https://doi.org/10.1007/978-3-0348-8696-3_17
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DOI: https://doi.org/10.1007/978-3-0348-8696-3_17
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