A new approach to the approximation  by positive linear operators in weighted spaces

Ö. G.  Atlihan; T.  Yurdakadim; E.  Taş

doi:10.37863/umzh.v74i11.6427

Ö. G. Atlihan Pamukkale Univ., Denizli, Turkey
T. Yurdakadim Bilecik Şeyh Edebali Univ., Turkey
E. Taş Kırşehir Ahi Evran Univ., Turkey

DOI: https://doi.org/10.37863/umzh.v74i11.6427

Анотація

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.

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