Approximation of Function in the Generalized Holder Metric

2010 ◽  
Author(s):  
Xiaoxia Wen
Keyword(s):  
Hölder Metric ◽  
Generalized Hölder Metric ◽  
Approximation Of Function

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.

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