Literature cited
A. F. Timan, Theory of Approximation of Functions of a Real Variable [in Russian], Fizmatgiz, Moscow (1960).
P. L. Ul'yanov, Mat. Sb.,81, No. 1, 104–131 (1970).
M. F. Timan, Izv. Vuzov. Mat., No. 10, 61–74 (1974).
P. L. Ul'yanov, Izv. Akad. Nauk SSSR, Ser. Mat.,32, No. 3, 649–686 (1968).
M. F. Timan, Mat. Sb.,46, No. 1, 125–132 (1958).
N. A. Il'yasov, Imbedding Theorems for Structural and Constructive Characteristics of Functions, Dissertation, Baku (1987).
N. A. Il'yasov, Dep. in AzNIINTI 15.09.87, No. 855 Az-D87.
V, É. Geit, Izv. Vuzov. Mat., No. 7, 19–30 (1972).
V. I. Kolyada, Tr. Mat. Inst. Akad. Nauk SSSR,181, 117–136 (1988).
Author information
Authors and Affiliations
Additional information
Translated from Matematicheskie Zametki, Vol. 50, No. 2, pp. 153–155, August, 1991.
The author thanks S. B. Stechkin for posing the problem and interest in the work.
Rights and permissions
About this article
Cite this article
Il'yasov, N.A. Inequality between moduli of smoothness of different orders in different metrics. Mathematical Notes of the Academy of Sciences of the USSR 50, 877–879 (1991). https://doi.org/10.1007/BF01157580
Received:
Issue Date:
DOI: https://doi.org/10.1007/BF01157580