Approximation of signals of class Lip(α, p) by linear operators |
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Authors: | ML Mittal BE RhoadesU Singh |
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Institution: | a Department of Mathematics, Indian Institute of Technology Roorkee, Roorkee 247667, Uttarakhand, India b Department of Mathematics, Indiana University, Bloomington, IN 47405-7106, USA |
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Abstract: | Mittal, Rhoades 5], 6], 7] and 8] and Mittal et al. 9] and 10] have initiated a study of error estimates En(f) through trigonometric-Fourier approximation (tfa) for the situations in which the summability matrix T does not have monotone rows. In this paper we continue the work. Here we extend two theorems of Leindler 4], where he has weakened the conditions on {pn} given by Chandra 2], to more general classes of triangular matrix methods. Our Theorem also partially generalizes Theorem 4 of Mittal et al. 11] by dropping the monotonicity on the elements of matrix rows, which in turn generalize the results of Quade 15]. |
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Keywords: | Signals Class Lip(α p) Trigonometric-Fourier approximation Lp-norm |
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