A new approach to the approximation by positive linear operators in weighted spaces
DOI:
https://doi.org/10.37863/umzh.v74i11.6427Ключові слова:
Korovkin type approximation, Power series method, Statistical convergence, Weighted spacesАнотація
УДК 517.5
Новий підхід до апроксимації додатними лінійними операторами у вагових просторах
Розглянуто проблему наближення функції додатними лінійними операторами у вагових просторах. У цьому випадку наш основний інструмент – це $P_{p}$-статистична збіжність, нещодавно введена в [M. Ünver, C. Orhan, Numer. Funct. Anal. and Optim., 40, 535–547 (2019)]. Варто зазначити, що з $P_{p}$-статистичної збіжності не випливає статистична збіжність, і навпаки.
Посилання
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