Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4628207 | Applied Mathematics and Computation | 2014 | 12 Pages |
Abstract
In the present paper, a new theorem on the degree of approximation of function f∼, conjugate to a 2π periodic function f belonging to the generalized weighted Lipschitz W(Lr,ξ(t))(r⩾1)W(Lr,ξ(t))(r⩾1)-class by dropping the monotonicity condition on the generating sequence {pn} has been established which in turn generalizes the results of Lal (2009) [12] on Fourier series. We also note some errors appearing in the paper of Lal (2009) [12] and rectify them in the view of observations of Rhoades et al. (2011) [22].
Related Topics
Physical Sciences and Engineering
Mathematics
Applied Mathematics
Authors
Lakshmi Narayan Mishra, Vishnu Narayan Mishra, Kejal Khatri, Deepmala,