Degree of Approximation of Functions f~∈Hω Class by the (Np·E1) Means in the Hölder Metric

Degree of Approximation of Functions f~∈Hω Class by the (Np·E1) Means in the Hölder Metric

A new estimate for the degree of approximation of a function f˜∈Hω class 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 m...

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Main Authors: Vishnu Narayan Mishra, Kejal Khatri
Format: Article
Language:English
Published: Hindawi Limited 2014-01-01
Series:International Journal of Mathematics and Mathematical Sciences
Online Access:http://dx.doi.org/10.1155/2014/837408
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spelling doaj-671b80b04da845979bf52bdb65701e692020-11-24T23:10:29ZengHindawi LimitedInternational Journal of Mathematics and Mathematical Sciences0161-17121687-04252014-01-01201410.1155/2014/837408837408Degree of Approximation of Functions f~∈Hω Class by the (Np·E1) Means in the Hölder MetricVishnu Narayan Mishra0Kejal Khatri1Applied Mathematics and Humanities Department, Sardar Vallabhbhai National Institute of Technology, Ichchhanath Mahadev Dumas Road, Surat, Gujarat 395 007, IndiaApplied Mathematics and Humanities Department, Sardar Vallabhbhai National Institute of Technology, Ichchhanath Mahadev Dumas Road, Surat, Gujarat 395 007, IndiaA new estimate for the degree of approximation of a function f˜∈Hω class 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.http://dx.doi.org/10.1155/2014/837408
collection DOAJ
language English
format Article
sources DOAJ
author Vishnu Narayan Mishra
Kejal Khatri
spellingShingle Vishnu Narayan Mishra
Kejal Khatri
Degree of Approximation of Functions f~∈Hω Class by the (Np·E1) Means in the Hölder Metric
International Journal of Mathematics and Mathematical Sciences
author_facet Vishnu Narayan Mishra
Kejal Khatri
author_sort Vishnu Narayan Mishra
title Degree of Approximation of Functions f~∈Hω Class by the (Np·E1) Means in the Hölder Metric
title_short Degree of Approximation of Functions f~∈Hω Class by the (Np·E1) Means in the Hölder Metric
title_full Degree of Approximation of Functions f~∈Hω Class by the (Np·E1) Means in the Hölder Metric
title_fullStr Degree of Approximation of Functions f~∈Hω Class by the (Np·E1) Means in the Hölder Metric
title_full_unstemmed Degree of Approximation of Functions f~∈Hω Class by the (Np·E1) Means in the Hölder Metric
title_sort degree of approximation of functions f~∈hω class by the (np·e1) means in the hölder metric
publisher Hindawi Limited
series International Journal of Mathematics and Mathematical Sciences
issn 0161-1712
1687-0425
publishDate 2014-01-01
description A new estimate for the degree of approximation of a function f˜∈Hω class 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.
url http://dx.doi.org/10.1155/2014/837408
work_keys_str_mv AT vishnunarayanmishra degreeofapproximationoffunctionsfhōclassbythenpe1meansintheholdermetric
AT kejalkhatri degreeofapproximationoffunctionsfhōclassbythenpe1meansintheholdermetric
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