TY - JOUR

T1 - Construction of spaces of local functions on a nonuniform mesh

AU - Dem'yanovich, Yu K.

PY - 1985/6/1

Y1 - 1985/6/1

N2 - A general approach is considered to the construction of linear spaces of local functions without regularity conditions. This approach allows one to obtain uniform and integral estimates for the rate of convergence in the case of an essentially nonuniform mesh. As an example, the author considers approximation of functions with a singular point near which polynomial growth of the derivatives is observed. Estimates are given for approximation in the spaces[Figure not available: see fulltext.], and also some weighted estimates.

AB - A general approach is considered to the construction of linear spaces of local functions without regularity conditions. This approach allows one to obtain uniform and integral estimates for the rate of convergence in the case of an essentially nonuniform mesh. As an example, the author considers approximation of functions with a singular point near which polynomial growth of the derivatives is observed. Estimates are given for approximation in the spaces[Figure not available: see fulltext.], and also some weighted estimates.

UR - http://www.scopus.com/inward/record.url?scp=34250109853&partnerID=8YFLogxK

U2 - 10.1007/BF02105046

DO - 10.1007/BF02105046

M3 - Article

AN - SCOPUS:34250109853

VL - 29

SP - 1750

EP - 1767

JO - Journal of Mathematical Sciences

JF - Journal of Mathematical Sciences

SN - 1072-3374

IS - 6

ER -