@article{TIMM_2007_13_4_a13,
author = {E. V. Shevaldina},
title = {{\CYRA}{\cyrp}{\cyrp}{\cyrr}{\cyro}{\cyrk}{\cyrs}{\cyri}{\cyrm}{\cyra}{\cyrc}{\cyri}{\cyrya} {\cyrl}{\cyro}{\cyrk}{\cyra}{\cyrl}{\cyrsftsn}{\cyrn}{\cyrery}{\cyrm}{\cyri} {\cyrp}{\cyra}{\cyrr}{\cyra}{\cyrb}{\cyro}{\cyrl}{\cyri}{\cyrch}{\cyre}{\cyrs}{\cyrk}{\cyri}{\cyrm}{\cyri} {\cyrs}{\cyrp}{\cyrl}{\cyra}{\cyrishrt}{\cyrn}{\cyra}{\cyrm}{\cyri} {\cyrf}{\cyru}{\cyrn}{\cyrk}{\cyrc}{\cyri}{\cyrishrt} {\cyrp}{\cyro} {\cyri}{\cyrh} {\cyrz}{\cyrn}{\cyra}{\cyrch}{\cyre}{\cyrn}{\cyri}{\cyrya}{\cyrm} {\cyrv}~{\cyrs}{\cyrr}{\cyre}{\cyrd}{\cyrn}{\cyre}{\cyrm}},
journal = {Trudy Instituta matematiki i mehaniki},
pages = {169--189},
year = {2007},
volume = {13},
number = {4},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/TIMM_2007_13_4_a13/}
}
TY - JOUR AU - E. V. Shevaldina TI - Аппроксимация локальными параболическими сплайнами функций по их значениям в среднем JO - Trudy Instituta matematiki i mehaniki PY - 2007 SP - 169 EP - 189 VL - 13 IS - 4 UR - http://geodesic.mathdoc.fr/item/TIMM_2007_13_4_a13/ LA - ru ID - TIMM_2007_13_4_a13 ER -
E. V. Shevaldina. Аппроксимация локальными параболическими сплайнами функций по их значениям в среднем. Trudy Instituta matematiki i mehaniki, Trudy Instituta Matematiki i Mekhaniki UrO RAN, Tome 13 (2007) no. 4, pp. 169-189. http://geodesic.mathdoc.fr/item/TIMM_2007_13_4_a13/
[1] Zavyalov Yu. S., Kvasov B. I., Miroshnichenko V. L., Metody splain-funktsii, Nauka, M., 1980 | MR
[2] Piegl L., Tiller W., The NURBS Book. B., Springer-Verlag, Heidelberg–N.Y., 1997 | Zbl
[3] Zavyalov Yu. S., “O formulakh lokalnoi approksimatsii, tochnykh na kubicheskikh splainakh”, Vychislitelnye sistemy, 128 (1998), 75–88 | MR
[4] Korneichuk N. P., Splainy v teorii priblizheniya, Nauka, M., 1984 | MR
[5] Subbotin Yu. N., “Nasledovanie svoistv monotonnosti i vypuklosti pri lokalnoi approksimatsii”, Zhurn. vychisl. matematiki i mat. fiziki, 33:7 (1993), 996–1003 | MR | Zbl
[6] Subbotin Yu. N., “Ekstremalnye zadachi funktsionalnoi interpolyatsii i interpolyatsionnye v srednem splainy”, Tr. MIAN SSSR, 138, 1975, 118–173 | MR | Zbl
[7] Subbotin Yu. N., “Ekstremalnaya funktsionalnaya interpolyatsiya v srednem s naimenshim znacheniem $n$-i proizvodnoi pri bolshikh intervalakh usredneniya”, Mat. zametki, 59:1 (1996), 114–132 | MR
[8] Subbotin Yu. N., “Ekstremalnaya v $L_p$ interpolyatsiya v srednem pri peresekayuschikhsya intervalakh usredneniya”, Izv. RAN. Ser. matematicheskaya, 61:1 (1997), 177–198 | MR | Zbl
[9] Shevaldin V. T., “Nekotorye zadachi ekstremalnoi interpolyatsii v srednem dlya lineinykh differentsialnykh operatorov”, Tr. MIAN SSSR, 164, 1983, 203–240 | MR | Zbl
[10] Shevaldin V. T., “Ekstremalnaya intrepolyatsiya v srednem pri perekryvayuschikhsya intervalakh usredneniya i $L$-splainy”, Izv. RAN. Ser. matematicheskaya, 62:4 (1998), 201–224 | MR | Zbl