scholarly journals On approximation of hexagonal Fourier series in the generalized Hölder metric

2019 ◽  
pp. 1-12
Author(s):  
Ali Güven ◽  
Hatice Aslan
Keyword(s):  
Fourier Series ◽  
Hölder Metric ◽  
Generalized Hölder Metric

On approximation of the rate of convergence of Fourier series in the generalized Hölder metric by Deferred Nörlund mean

2019 ◽  
Vol 30 (7-8) ◽  
pp. 1119-1131 ◽  
Author(s):  
T. Pradhan ◽  
B. B. Jena ◽  
S. K. Paikray ◽  
H. Dutta ◽  
U. K. Misra
Keyword(s):  
Fourier Series ◽  
Rate Of Convergence ◽  
Hölder Metric ◽  
Generalized Hölder Metric

scholarly journals An Estimate of the Rate of Convergence of the Fourier Series in the Generalized Hölder Metric by Delayed Arithmetic Mean

2014 ◽  
Vol 2014 ◽  
pp. 1-7
Author(s):  
L. Nayak ◽  
G. Das ◽  
B. K. Ray
Keyword(s):  
Fourier Series ◽  
Rate Of Convergence ◽  
Arithmetic Mean ◽  
Convergence Problem ◽  
Hölder Metric ◽  
Generalized Hölder Metric

We study the rate of convergence problem of the Fourier series by Delayed Arithmetic Mean in the generalized Hölder metric (Hp(w)) space which was earlier introduced by Das, Nath, and Ray and obtain a sharper estimate of Jackson's order.

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

2014 ◽  
Vol 2014 ◽  
pp. 1-9 ◽  
Author(s):  
Vishnu Narayan Mishra ◽  
Kejal Khatri
Keyword(s):  
Fourier Series ◽  
Degree Of Approximation ◽  
Hölder Metric ◽  
Approximation Of A Function

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.

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