An Analysis of the Convergence Problem of a Function in Lipschitz Spaces

In the present work, the degrees of convergence of a function of conjugate Fourier series in Lip φ and weighted Lipschitz classes using product Hausdorff operator are obtained.Some interesting applications of our results are also discussed in order to observe the nature of convergence of the function in both the classes.From our applications, we find that the rate of convergence obtained from our results are much better than those of earlier results and rate of convergence will be faster as α increases.