Geodesic
Approximation of Functions Characterized by One Nonsymmetric Operator of Generalized Translation
Informatics and Automation, Investigations in the theory of differentiable functions of many variables and its applications. Part 18, Tome 227 (1999), pp. 243-259.

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

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M. K. Potapov. Approximation of Functions Characterized by One Nonsymmetric Operator of Generalized Translation. Informatics and Automation, Investigations in the theory of differentiable functions of many variables and its applications. Part 18, Tome 227 (1999), pp. 243-259. http://geodesic.mathdoc.fr/item/TRSPY_1999_227_a17/

[1] Pawelke S., “Ein Satz von Jackenschen Typ für algebraische Polynome”, Acta sci. math., 33:3–4 (1972), 323–336 | MR | Zbl

[2] Butzer P., Stens P., Wehrens M., “Higher order moduli of continiuty based on the Jacobi translation operator and best approximation”, C. R. Math. rend. Acad. sci. Canada, 1980, no. 2, 83–87 | MR

[3] Potapov M. K., “O strukturnykh i konstruktivnykh kharakteristikakh nekotorykh klassov funktsii”, Tr. MIAN, 131, 1974, 211–231 | MR | Zbl

[4] Potapov M. K., “O strukturnykh kharakteristikakh klassov funktsii s dannym poryadkom nailuchshego priblizheniya”, Tr. MIAN, 134, 1975, 260–277 | MR | Zbl

[5] Potapov M. K., “O priblizhenii algebraicheskimi mnogochlenami v integralnoi metrike s vesom Yakobi”, Vestn. MGU. Matematika. Mekhanika, 1983, no. 3, 43–52 | MR | Zbl

[6] Potapov M. K., Fedorov V. M., “O teoremakh Dzheksona dlya obobschennogo modulya gladkosti”, Tr. MIAN, 172, 1985, 291–298 | MR | Zbl

[7] Potapov M. K., “The operators of generalized translation in the approximation theory”, Proc. II Math. Conf. Pristina, Pristina, 1997, 27–36 | MR | Zbl

[8] Vilenkin N. Ya., Spetsialnye funktsii i teoriya predstavleniya grupp, Nauka, M., 1965 | MR

[9] Beitmen G., Erdeii A., Vysshie transtsendentnye funktsii, t. 2, Nauka, M., 1966 | MR

[10] Khalilova B. A., “O nekotorykh otsenkakh dlya polinomov”, Izv. AN AzSSR. Ser. fiz-tekh. nauk, 1974, no. 2, 46–55 | Zbl