Geodesic
On assignment of additional conditions in the method of construction of a spline preserving the integral of a function over its domain
Vestnik Tomskogo gosudarstvennogo universiteta. Matematika i mehanika, no. 1 (2010), pp. 47-52

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In the present work are being studied ways of assignment of additional conditions, which are necessary for finding the coefficients of the spline, approximating the function of one variable in such a way that integrals over the region of definition of the spline and the function are equal.
Keywords: spline approximation, approximation of a function of one variable, approximation error estimation. 
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     author = {O. P. Fedorova and O. V. Kulish},
     title = {On assignment of additional conditions in the method of construction of a spline preserving the integral of a function over its domain},
     journal = {Vestnik Tomskogo gosudarstvennogo universiteta. Matematika i mehanika},
     pages = {47--52},
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O. P. Fedorova; O. V. Kulish. On assignment of additional conditions in the method of construction of a spline preserving the integral of a function over its domain. Vestnik Tomskogo gosudarstvennogo universiteta. Matematika i mehanika, no. 1 (2010), pp. 47-52. http://geodesic.mathdoc.fr/item/VTGU_2010_1_a5/