Some properties of the \alpha-Chebyshev wavelets approximation with H\ddot{O}lder function

In this paper, we consider \alpha-Chebyshev polynomials, \alpha-Chebyshev wavelet approximation and h\ddot{o}lder of order l. We estimate \alpha-Chebyshev-wavelet approximation of a function f having satisfy condition h\ddot{o}lder where f is expanded in terms of \alpha-Chebyshev wavelet polynomials. In this paper, we consider \alpha-Chebyshev polynomials, \alpha-Chebyshev wavelet approximation and h\ddot{o}lder of order l. We estimate \alpha-Chebyshev-wavelet approximation of a function f having satisfy condition h\ddot{o}lder where f is expanded in terms of \alpha-Chebyshev wavelet polynomials. In this paper, we consider \alpha-Chebyshev polynomials, \alpha-Chebyshev wavelet approximation and h\ddot{o}lder of order l. We estimate \alpha-Chebyshev-wavelet approximation of a function f having satisfy condtion h\ddot{o}derl where f is expanded in terms of \alpha-Chebyshev wavelet polynomials.

کلیدواژه ها:

\alpha-Chebyshev wavelets ، H\ddot{o}lder Condition of order l ، \alpha-Chebyshev functions ، \alpha-Chebyshev differential equation