Table of Contents Author Guidelines Submit a Manuscript
Journal of Mathematics
Volume 2016, Article ID 9048671, 7 pages
http://dx.doi.org/10.1155/2016/9048671
Research Article

Applications of Cesàro Submethod to Trigonometric Approximation of Signals (Functions) Belonging to Class in -Norm

Department of Mathematics, Indian Institute of Technology Roorkee, Roorkee 247667, India

Received 28 July 2015; Revised 18 November 2015; Accepted 11 February 2016

Academic Editor: Mohsen Tadi

Copyright © 2016 M. L. Mittal and Mradul Veer Singh. 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.

Abstract

We prove two Theorems on approximation of functions belonging to Lipschitz class in -norm using Cesàro submethod. Further we discuss few corollaries of our Theorems and compare them with the existing results. We also note that our results give sharper estimates than the estimates in some of the known results.