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ON THE SOME GENERALIZATIONS AND IMPROVEMENTS OF THE BEST POLYNOMIAL APPROXIMATIONS OF FUNCTIONS OF MANY REAL VARIABLES
A.Khatamov
Nashr: №107
06.02.2023
765 marta o'qildi
393 ta yuklash
11 bet
Annotatsiya
The paper is devoted to some generalizations and improvements of results obtained in the paper of the best joint polynomial approximations in uniform and integral metrics on a given bounded closed convex domain of the functions of many real variables (FMRV) from the seminormalized Sobolev space with last derivative of integrable on nonempty intersections of each straight line with this domain.
Kalit so'zlar:
some generalization and improvement
the best joint polynomial approximation
a
given bounded closed convex domain
the functions of many real variables
from the semi-normalized
Sobolev space
the last derivative of integrable
on nonempty intersection of each straight line with
this domain
in uniform and integral metrics.