Some results on generalization \alpha-Chebyshev wavelets

In this paper, we introduce  generalized formulae for well-known functions such as \alpha-Chebyshev functions. We define \alpha-Chebyshev wavelets approximation and  generalization \alpha-wavelet coapproximation. We show that if \sum_{n=۰}^k\sum_{n=۰}^{\infty} |t_n|^۲L_{n,m}^\alpha is convergent, then generalization \alpha-Chebyshev wavelets approximation (generalization \alpha- wavelets coapproximation)  exists.

کلیدواژه ها:

Generalized \alpha-Chebyshev functions ، Generalized \alpha-Chebyshev wavelets approximation ، Generalized \alpha-wavelets coapproximation