On the Hausdorff Method Applications in the Problem of Finding the Degree of Functions Approximation
Agnes Osagie1,*
Abstract
In this research, we study the problem of determining the degree of approximation of functions using the Hausdorff method, and we can do this by proving the following results:
If f and using hausdorff means of conjugate fourier series, is given by:
If f be a 2m periodic function, continues almost everywhere on
where and v the zygmund moduli of continuity sunch that positive and monotonic function.
Keywords: Degree of approximation; Zygmund class; Hausdorff method; Continuous almost everywhere, Fourier series