Table of Contents Author Guidelines Submit a Manuscript
International Journal of Mathematics and Mathematical Sciences
Volume 2006 (2006), Article ID 53538, 10 pages
http://dx.doi.org/10.1155/IJMMS/2006/53538

Approximation of signals (functions) belonging to the weighted W(Lp,ξ(t))-class by linear operators

1Department of Mathematics, IIT Roorkee, Roorkee, Uttaranchal 247667, India
2Department of Mathematics, Indiana University, Bloomington, IN 47405, USA

Received 23 May 2006; Accepted 2 October 2006

Copyright © 2006 Hindawi Publishing Corporation. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

Citations to this Article [15 citations]

The following is the list of published articles that have cited the current article.

  • Tikam Singh, and Pravin Mahajan, “Error Bound of Periodic Signals in the Hölder Metric,” International Journal of Mathematics and Mathematical Sciences, vol. 2008, pp. 1–9, 2008. View at Publisher · View at Google Scholar
  • M.L. Mittal, B.E. Rhoades, Smita Sonker, and U. Singh, “Approximation of signals of class Lip(α,p) by linear operators,” Applied Mathematics and Computation, vol. 217, no. 9, pp. 4483–4489, 2011. View at Publisher · View at Google Scholar
  • Smita Sonker, and Uaday Singh, “Approximation of Signals (Functions) Belonging to Lip(α,p,ω)–Class Using Trigonometric Polynomials,” Procedia Engineering, vol. 38, pp. 1575–1585, 2012. View at Publisher · View at Google Scholar
  • Smita Sonker, and Uaday Singh, “Degree of approximation of the conjugate of signals (functions) belonging to Lip(alpha, r)-class by (C, 1)(E, q) means of conjugate trigonometric Fourier series,” Journal Of Inequalities And Applications, 2012. View at Publisher · View at Google Scholar
  • Vishnu Narayan Mishra, Kejal Khatri, and Lakshmi Narayan Mishra, “Approximation of functions belonging to Lip(xi(t), r) class by (N, p(n))(E, q) summability of conjugate series of Fourier series,” Journal Of Inequalities And Applications, 2012. View at Publisher · View at Google Scholar
  • Vishnu Narayan Mishra, Kejal Khatri, and Lakshmi Narayan Mishra, “Product Summability Transform of Conjugate Series of Fourier Series,” International Journal of Mathematics and Mathematical Sciences, vol. 2012, pp. 1–13, 2012. View at Publisher · View at Google Scholar
  • Uaday Singh, and Shailesh Kumar Srivastava, “Approximation of conjugate of functions belonging to weighted Lipschitz class by Hausdorff means of conjugate Fourier series,” Journal of Computational and Applied Mathematics, 2013. View at Publisher · View at Google Scholar
  • Vishnu Narayan Mishra, Huzoor H. Khan, Idrees A. Khan, Kejal Khatri, and Lakshmi N. Mishra, “Trigonometric Approximation of Signals (Functions) Belonging to the <i>Lip</i>(<i>ξ</i>(<i>t</i>),<i>r</i>),(r>1)-Class by (<i>E</i>,<i>q</i>) (<i>q</i>>0)-Means of the Conjugate Series of Its Fourier Series,” Advances in Pure Mathematics, vol. 03, no. 03, pp. 353–358, 2013. View at Publisher · View at Google Scholar
  • Vaishali Sonavane, Lakshmi Narayan Mishra, and Vishnu Narayan Mishra, “On trigonometric approximation of W(L-p, xi(t)) (p >= 1) function by product (C, 1)(E, 1) means of its Fourier series,” Journal Of Inequalities And Applications, 2013. View at Publisher · View at Google Scholar
  • Vishnu Mishra, Vaishali Sonavane, and Lakshmi Mishra, “Lr-Approximation of signals (functions) belonging to weighted W(Lr,ξ(t))-class by C1⋅Np summability method of conjugate series of its Fourier series,” Journal of Inequalities and Applications, vol. 2013, no. 1, pp. 440, 2013. View at Publisher · View at Google Scholar
  • Lakshmi Narayan Mishra, Vishnu Narayan Mishra, and Vaishali Sonavane, “Trigonometric approximation of functions belonging to Lipschitz class by matrix () operator of conjugate series of Fourier series,” Advances in Difference Equations, 2013. View at Publisher · View at Google Scholar
  • Vishnu Narayan Mishra, Kejal Khatri, and Lakshmi Narayan Mishra, “Using linear operators to approximate signals of Lip(alpha, p), (p >= 1)-class,” Filomat, vol. 27, no. 2, pp. 353–363, 2013. View at Publisher · View at Google Scholar
  • Lakshmi Narayan Mishra, Kejal Khatri, and Deepmala Deepmala, “On the trigonometric approximation of signals belonging to generalized weighted Lipschitz W(L-r, xi(t))(r >= 1)-class by matrix (C-1 center dot N-p) operator of conjugate series of its Fourier series,” Applied Mathematics and Computation, vol. 237, pp. 252–263, 2014. View at Publisher · View at Google Scholar
  • Włodzimierz Łenski, and Bogdan Szal, “Approximation of conjugate functions by general linear operators of their fourier series at the lebesgue points,” Demonstratio Mathematica, vol. 47, no. 4, pp. 878–892, 2014. View at Publisher · View at Google Scholar
  • M. L. Mittal, and Mradul Veer Singh, “Degree of approximation of signals (functions) in Besov space using linear operators,” Asian-European Journal of Mathematics, vol. 09, no. 01, pp. 1650009, 2016. View at Publisher · View at Google Scholar