Geodesic
Numerical solution of Fredholm integral equations of first kind by two-dimensional trigonometric wavelets in holder space $C^\alpha([a,b])$
Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 52 (2012) no. 4

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In this article, we employ trigonometric wavelet bases to numerical solution of Fredholm integral equations of first kind in Holder space. Employment of Galerkin method for trigonometric wavelets in Fredholm integral equations of first kind has resulted in occurrence of two-dimensional trigonometric wavelets. Here, we present the convergence of two-dimensional trigonometric wavelets in numerical solution in Holder space $C^\alpha([a,b])$ 
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     author = {A. Babaaghaie and H. Mesgarani},
     title = {Numerical solution of {Fredholm} integral equations of first kind by two-dimensional trigonometric wavelets in holder space $C^\alpha([a,b])$},
     journal = {\v{Z}urnal vy\v{c}islitelʹnoj matematiki i matemati\v{c}eskoj fiziki},
     pages = {696},
     publisher = {mathdoc},
     volume = {52},
     number = {4},
     year = {2012},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/ZVMMF_2012_52_4_a8/}
}
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A. Babaaghaie; H. Mesgarani. Numerical solution of Fredholm integral equations of first kind by two-dimensional trigonometric wavelets in holder space $C^\alpha([a,b])$. Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 52 (2012) no. 4. http://geodesic.mathdoc.fr/item/ZVMMF_2012_52_4_a8/