Geodesic
Extremal interpolation in the mean with overlapping averaging intervals and $L$-splines
Izvestiya. Mathematics , Tome 62 (1998) no. 4, pp. 833-856

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The paper deals with the problem of extremal interpolation in the mean for large averaging intervals with the minimal value of the norm of a linear differential operator with constant real coefficients in the case when the extremal functions are $L$-splines. 
@article{IM2_1998_62_4_a7,
     author = {V. T. Shevaldin},
     title = {Extremal interpolation in the mean with overlapping averaging intervals and $L$-splines},
     journal = {Izvestiya. Mathematics },
     pages = {833--856},
     publisher = {mathdoc},
     volume = {62},
     number = {4},
     year = {1998},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/IM2_1998_62_4_a7/}
}
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%T Extremal interpolation in the mean with overlapping averaging intervals and $L$-splines
%J Izvestiya. Mathematics 
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%F IM2_1998_62_4_a7
V. T. Shevaldin. Extremal interpolation in the mean with overlapping averaging intervals and $L$-splines. Izvestiya. Mathematics , Tome 62 (1998) no. 4, pp. 833-856. http://geodesic.mathdoc.fr/item/IM2_1998_62_4_a7/