A Note on Convergence of Fourier Series of a Function on Wiener's Class Vp
Canadian mathematical bulletin, Tome 20 (1977) no. 2, pp. 243-247

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Let f be a 2π-periodic function defined on [0, 2π]. We set where suprema have been taken with respect to all partitions P:a = t0<t1<t2<...<tn<=b of any segment [a, b] contained in [0, 2π]. We call the pth total variation of f on [a, b]. If we denote pth total variaiton of f on [0, 2π] by Vp (f), then we can define Wiener's class simply by
Siddiqi, Rafat N. A Note on Convergence of Fourier Series of a Function on Wiener's Class Vp. Canadian mathematical bulletin, Tome 20 (1977) no. 2, pp. 243-247. doi: 10.4153/CMB-1977-037-x
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     author = {Siddiqi, Rafat N.},
     title = {A {Note} on {Convergence} of {Fourier} {Series} of a {Function} on {Wiener's} {Class} {Vp}},
     journal = {Canadian mathematical bulletin},
     pages = {243--247},
     year = {1977},
     volume = {20},
     number = {2},
     doi = {10.4153/CMB-1977-037-x},
     url = {http://geodesic.mathdoc.fr/articles/10.4153/CMB-1977-037-x/}
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