Geodesic
Inheritance of monotonicity and convexity in local approximations
Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 33 (1993) no. 7, pp. 996-1003 Cet article a éte moissonné depuis la source Math-Net.Ru

Voir la notice de l'article

@article{ZVMMF_1993_33_7_a1,
     author = {Yu. N. Subbotin},
     title = {Inheritance of monotonicity and convexity in local approximations},
     journal = {\v{Z}urnal vy\v{c}islitelʹnoj matematiki i matemati\v{c}eskoj fiziki},
     pages = {996--1003},
     year = {1993},
     volume = {33},
     number = {7},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/ZVMMF_1993_33_7_a1/}
}
TY  - JOUR
AU  - Yu. N. Subbotin
TI  - Inheritance of monotonicity and convexity in local approximations
JO  - Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki
PY  - 1993
SP  - 996
EP  - 1003
VL  - 33
IS  - 7
UR  - http://geodesic.mathdoc.fr/item/ZVMMF_1993_33_7_a1/
LA  - ru
ID  - ZVMMF_1993_33_7_a1
ER  - 
%0 Journal Article
%A Yu. N. Subbotin
%T Inheritance of monotonicity and convexity in local approximations
%J Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki
%D 1993
%P 996-1003
%V 33
%N 7
%U http://geodesic.mathdoc.fr/item/ZVMMF_1993_33_7_a1/
%G ru
%F ZVMMF_1993_33_7_a1
Yu. N. Subbotin. Inheritance of monotonicity and convexity in local approximations. Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 33 (1993) no. 7, pp. 996-1003. http://geodesic.mathdoc.fr/item/ZVMMF_1993_33_7_a1/

[1] Bojanic Roulier J. A., “Approximation of convex function by convex splines and convexity preserving continuous linear operators”, Rev. analys. numer. et theor. approximation, 3:2 (1974(1975)), 143–150 | MR | Zbl

[2] Devore R. A., “Monotone approximation by splines”, SIAM J. Math. Analys., 8:5 (1977), 891–905 | DOI | MR

[3] Passow E., “Piecewise monotone spline interpolation”, J. Approach. Theor., 12:3 (1974), 240–241 | DOI | MR | Zbl

[4] Miroshnichenko V. L., “Convex and monotone spline-interpolation”, Constructive Theor. Functions, Proc. Internat. Conf. on Constructive Theory of Function (Varna, may 27–june 2, 1984), PHBAS, Sofia, 1984, 610–620

[5] De Boor K., Swartz B., “Piecewise monotone interpolation”, SIAM J. Numer. Analys., 21:4 (1977), 411–416 | MR | Zbl

[6] Fritsh F. N., Carlson R. E., “Monotone piecewise cubic interpolation”, SIAM J. Numer. Analys., 17:2 (1980), 238–246 | DOI | MR

[7] Eisenstat S. C., Jackson K. B., Lewis W., “The order of monotone piecewise cubic interpolation”, SIAM J. Numer. Analys., 22:6 (1985), 1220–1237 | DOI | MR | Zbl

[8] Mcallister D. F., Roulier J. A., “Interpolation by convex quadratic splines”, Math. Comput., 32 (1978), 1154–1162 | DOI | MR | Zbl

[9] Subbotin Yu. N., Chernykh H. I., “Poryadok nailuchshei splain-approksimatsii nekotorykh klassov funktsii”, Matem. zametki, 7:1 (1970), 31–42 | MR | Zbl

[10] Konovalov V. N., “Otsenki poperechnikov tipa Kolmogorova dlya klassov periodicheskikh funktsii”, Matem. zametki, 36:3 (1984), 154–160 | MR | Zbl

[11] Tikhomirov V. M., “Some remarks on relative diameters”, Approximation and Function Spaces, Banach Center Publ., 22, PWN-Polish Scient. Pubbls, Warszawa, 1989, 471–474 | MR

[12] Babenko V. F., “O nailuchshem ravnomernom priblizhenii splainami pri nalichii ogranichenii na ikh proizvodnye”, Matem. zametki, 50:6 (1991), 24–30 | MR | Zbl

[13] Korneichuk N. P., Ekstremalnye zadachi teorii priblizheniya, Nauka, M., 1976 | MR