On multidimensional Jackson's theorem

S.A. Pichugov (Dnipropetrovsk State University), https://orcid.org/0000-0002-4263-4429


We have found the best linear polynomial methods of approximation of continuous periodic functions of multiple variables in uniform metric with concave modulus of continuity.


Yudin V.A. "Multidimensional Jackson's theorem", Proc. Int. Conf. on Func. Approx. Theory, Kaluga, 1975. (in Russian)

Davidchik A.N., Ligun A.A. "To Jackson's theorem", Matem. zametki, 1974; 16(6): pp. 681-690. (in Russian) doi:10.1007/BF01149787

Potapov M.K. "On approximation by 'angle'", Proc. of the Conf. on Constructive Theory of Functions, Hungary Acad. Sci. Publ., 1969. (in Russian)

DOI: https://doi.org/10.15421/247708



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ISSN (Online): 2664-5009
ISSN (Print): 2664-4991