5 Results Found

An explicit method for the construction of a tight wavelet frame generated by the Walsh polynomials with the help of extension principles was presented by Shah (Shah, 2013). In this article, we extend the notion of wavelet frames to periodic wavelet...

This paper presents direct and inverse theorems concerning the approximation of functions of several variables with bounded p-fluctuation using Walsh polynomials. These theorems provide estimates for the best approximation of such functions by polyno...

In this paper, we study the behavior of the m-th$(m\ge 0)$ derivatives of general algebraic polynomials in weighted Bergman spaces defined in regions of the complex plane G bounded by piecewise smooth curves $L=\partial G$ with $\lambda \pi$$(0<\lambda \&le$...

In this paper, we study asymptotic bounds on the m-th derivatives of general algebraic polynomials in weighted Bergman spaces. We consider regions in the complex plane defined by bounded, piecewise, asymptotically conformal curves with strictly posit...

In this paper, we investigate the growth behavior of the m-th derivatives ($m\ge 1$) of arbitrary algebraic polynomials in bounded and unbounded domains whose boundaries are piecewise quasismooth curve and possess interior and exterior zero angles of p...