Geodesic
The Gibbs Phenomenon for [S, αn] Means and [T, αn ] Means
Canadian mathematical bulletin, Tome 19 (1976) no. 2, pp. 209-211

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The Gibbs phenomenon of the Fourier series for different summability methods has been investigated by various authors. In this note, we study the same for the [S, αn ] method of summability introduced by Meir and Sharma [3]. The corresponding result for the [T, αn ] method of summability due to Powell [5] can be worked out in exactly the same way.The elements c nk of the [S, αn ] matrix are defined by the relations: 1 where 0<αn <1. The [S, αn ] matrix is regular if and only if 
Swaminathan, V. The Gibbs Phenomenon for [S, αn] Means and [T, αn ] Means. Canadian mathematical bulletin, Tome 19 (1976) no. 2, pp. 209-211. doi: 10.4153/CMB-1976-032-8
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     title = {The {Gibbs} {Phenomenon} for {[S,} \ensuremath{\alpha}n] {Means} and {[T,} \ensuremath{\alpha}n ] {Means}},
     journal = {Canadian mathematical bulletin},
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     year = {1976},
     volume = {19},
     number = {2},
     doi = {10.4153/CMB-1976-032-8},
     url = {http://geodesic.mathdoc.fr/articles/10.4153/CMB-1976-032-8/}
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