A Generalized Non-Stationary 4-Point b-ary Approximating Scheme
Pakeeza Ashraf *
Department of Mathematics, The Islamia University of Bahawalpur, Pakistan.
Ghulam Mustafa *
Department of Mathematics, The Islamia University of Bahawalpur, Pakistan.
*Author to whom correspondence should be addressed.
Abstract
A generalized non-stationary 4-point b-ary approximating subdivision scheme is presented for even integer b≥2. Lagrange trigonometric polynomial plays a key role in computation of mask of the generalized scheme. The proposed schemes can be considered as non-stationary counterpart of existing stationary approximating schemes. Asymptotic equivalence technique is used for convergence analysis of the proposed schemes. Efficiency of proposed schemes is illustrated with the help of some examples.
Keywords: 4-point approximating, non-stationary, subdivision scheme, Lagrange, asymptotic equivalence.