Geodesic
Error estimation for solution of Abel equation on sets of monotonic and convex functions
Sibirskij žurnal vyčislitelʹnoj matematiki, Tome 6 (2003) no. 2, pp. 171-180 
N. N. Nikolaeva; V. N. Titarenko; A. G. Yagola. Error estimation for solution of Abel equation on sets of monotonic and convex functions. Sibirskij žurnal vyčislitelʹnoj matematiki, Tome 6 (2003) no. 2, pp. 171-180. http://geodesic.mathdoc.fr/item/SJVM_2003_6_2_a6/
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     title = {Error estimation for solution of {Abel} equation on sets of monotonic and convex functions},
     journal = {Sibirskij \v{z}urnal vy\v{c}islitelʹnoj matematiki},
     pages = {171--180},
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     url = {http://geodesic.mathdoc.fr/item/SJVM_2003_6_2_a6/}
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Voir la notice de l'article provenant de la source Math-Net.Ru

We consider Abel equation under condition that the exact solution belongs to a compact set. The error of finite-dimensional approximation of the problem is estimated. For the error obtained we construct an area to which the exact and the approximate solutions belong using the method of cutting convex polyhedrons.

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