Estimate for deviations of generalized Steklov averages for functions of two variables

Autor: G. Yu. Puerov, E. I. Sergeeva
Rok vydání: 2013
Předmět:
Zdroj: Journal of Mathematical Sciences. 189:536-543
ISSN: 1573-8795
1072-3374
DOI: 10.1007/s10958-013-1205-0
Popis: We consider the Steklov average S h , r (f), where h = (h 1, h 2), h 1, h 2 > 0, r ∈ ℕ2, for a function f and estimate deviations of generalized Steklov averages S h,r,m (f) = (E − (E − S h,r ) m )(f), where m ∈ ℕ and E is the identity operator, for 2m times continuously differentiable functions of two variables. Bibliography: 6 titles.
Databáze: OpenAIRE