wiener class
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2015 ◽  
Vol 22 (3) ◽  
Author(s):  
Rajendra G. Vyas

AbstractIn this paper, we estimate the order of magnitude of the double Fourier coefficients of a function of the class


2015 ◽  
Vol 2015 ◽  
pp. 1-4
Author(s):  
Yeli Niu ◽  
Heping Wang

We will investigate properties of functions in the Wiener classBVp[a,b]with0<p<1. We prove that any function inBVp[a,b] (0<p<1)can be expressed as the difference of two increasing functions inBVp[a,b]. We also obtain the explicit form of functions inBVp[a,b]and show that their derivatives are equal to zero a.e. on[a,b].


2012 ◽  
Vol 45 (16) ◽  
pp. 476-481 ◽  
Author(s):  
Christian Lyzell ◽  
Martin Enqvist

2002 ◽  
Vol 22 (4) ◽  
pp. 466-472
Author(s):  
Gensun Fang ◽  
Xuedong Chen
Keyword(s):  

2000 ◽  
Vol 43 (10) ◽  
pp. 1075-1082 ◽  
Author(s):  
Gensun Fang ◽  
Jingfan Long
Keyword(s):  

2000 ◽  
Vol 7 (1) ◽  
pp. 1-10 ◽  
Author(s):  
T. Akhobadze

Abstract For the Fourier coefficients of the generalized Wiener class BV(p(n) ↑ ∞), the precise order , where k(n) is an integer for which 1 + log2 n < k(n) ≤ 2 + log2 n, is established. A problem concerning the number of Fourier coefficients having exactly the order is studied.


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