Degree of Approximation of Functionsf~∈HωClass by the(Np·E1)Means in the Hölder Metric-Reference-Cited by-同舟云学术

Degree of Approximation of Functionsf~∈HωClass by the(Np·E1)Means in the Hölder Metric

Published:2014 Issue: Volume:2014 Page:1-9
ISSN:0161-1712
Container-title:International Journal of Mathematics and Mathematical Sciences
language:en
Short-container-title:International Journal of Mathematics and Mathematical Sciences

Author:

Mishra Vishnu Narayan¹²,Khatri Kejal¹

Affiliation:

1. Applied Mathematics and Humanities Department, Sardar Vallabhbhai National Institute of Technology, Ichchhanath Mahadev Dumas Road, Surat, Gujarat 395 007, India

2. L. 1627 Awadh Puri Colony Beniganj, Opp. I.T.I. Ayodhya Main Road, Faizabad, Uttar Pradesh 224 001, India

Abstract

A new estimate for the degree of approximation of a functionf˜∈Hωclass by(Np·E1)means of its Fourier series has been determined. Here, we extend the results of Singh and Mahajan (2008) which in turn generalize the result of Lal and Yadav (2001). Some corollaries have also been deduced from our main theorem.

Publisher

Hindawi Limited

Subject

Mathematics (miscellaneous)

Link

http://downloads.hindawi.com/journals/ijmms/2014/837408.pdf

Reference24 articles.

1. Product (N, pn) (C, 1) summability of a sequence of Fourier coefficients

2. Product Summability Transform of Conjugate Series of Fourier Series

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