Geodesic
Approximation of functions of bounded $p$-variation by means of polynomials of the Haar and Walsh systems
Matematičeskie zametki, Tome 53 (1993) no. 6, pp. 11-21.

Voir la notice de l'article provenant de la source Math-Net.Ru

@article{MZM_1993_53_6_a1,
     author = {S. S. Volosivets},
     title = {Approximation of functions of bounded $p$-variation by means of polynomials of the {Haar} and {Walsh} systems},
     journal = {Matemati\v{c}eskie zametki},
     pages = {11--21},
     publisher = {mathdoc},
     volume = {53},
     number = {6},
     year = {1993},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/MZM_1993_53_6_a1/}
}
TY  - JOUR
AU  - S. S. Volosivets
TI  - Approximation of functions of bounded $p$-variation by means of polynomials of the Haar and Walsh systems
JO  - Matematičeskie zametki
PY  - 1993
SP  - 11
EP  - 21
VL  - 53
IS  - 6
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/MZM_1993_53_6_a1/
LA  - ru
ID  - MZM_1993_53_6_a1
ER  - 
%0 Journal Article
%A S. S. Volosivets
%T Approximation of functions of bounded $p$-variation by means of polynomials of the Haar and Walsh systems
%J Matematičeskie zametki
%D 1993
%P 11-21
%V 53
%N 6
%I mathdoc
%U http://geodesic.mathdoc.fr/item/MZM_1993_53_6_a1/
%G ru
%F MZM_1993_53_6_a1
S. S. Volosivets. Approximation of functions of bounded $p$-variation by means of polynomials of the Haar and Walsh systems. Matematičeskie zametki, Tome 53 (1993) no. 6, pp. 11-21. http://geodesic.mathdoc.fr/item/MZM_1993_53_6_a1/

[1] Wiener N., “The qudratic variation of a function and its Fourier coefficients”, Massachusetts J. of Math., 3 (1924), 72–94

[2] Terekhin A. P., “Priblizhenie funktsii ogranichennoi $p$-variatsii”, Izv. vuzov. Matematika, 1965, no. 2, 171–187 | MR | Zbl

[3] Kashin B. S., Saakyan A. A., Ortogonalnye ryady, Nauka, M., 1984 | Zbl

[4] Love E. R., Young L. C., “On fractional integration by parts”, Proc. London Math. Soc. (2), 44 (1938), 1–35 | DOI | Zbl

[5] Terekhin A. P., “Funktsii ogranichennoi $p$-variatsii s dannym poryadkom modulya $p$-nepreryvnosti”, Matematicheskie zametki, 12:5 (1972), 523–530 | MR | Zbl

[6] Golubov B. I., Efimov A. V., Skvortsov V. A., Ryady i preobrazovaniya Uolsha, Nauka, M., 1987 | Zbl

[7] Ulyanov P. L., “O ryadakh po sisteme Khaara”, Matem. sb., 63:3 (1964), 356–391 | MR | Zbl

[8] Ulyanov P. L., “O absolyutnoi i ravnomernoi skhodimosti ryadov Fure”, Matem. sb., 72:2 (1967), 193–225 | MR | Zbl

[9] Golubov B. I., “O ryadakh Fure nepreryvnykh funktsii po sisteme Khaara”, Izv. AN SSSR. Ser. mat., 28:6 (1964), 1271–1296 | MR | Zbl