Approximation results on nonlinear operators by Pp−statistical convergence

Arif, Asiye; YURDAKADİM, TUĞBA

doi:10.32513/asetmj/19322008220

Approximation results on nonlinear operators by Pp−statistical convergence

Arif A., YURDAKADİM T.

Advanced Studies: Euro-Tbilisi Mathematical Journal, cilt.15, sa.3, ss.1-10, 2022 (Scopus)

Yayın Türü: Makale / Tam Makale
Cilt numarası: 15 Sayı: 3
Basım Tarihi: 2022
Doi Numarası: 10.32513/asetmj/19322008220
Dergi Adı: Advanced Studies: Euro-Tbilisi Mathematical Journal
Derginin Tarandığı İndeksler: Scopus
Sayfa Sayıları: ss.1-10
Anahtar Kelimeler: approximation, max-product operators, power series method, rate of convergence, statistical convergence
Bilecik Şeyh Edebali Üniversitesi Adresli: Evet

Özet

© Società editrice il Mulino.The first aim of this paper is to present Pp-statistical approximation theorem for max-product operators with the use of statistical convergence with respect to power series method which is incompatible with statistical convergence. The second aim is to obtain the Pp-statistical rate of this approximation. In the end of the paper, we construct special sequences of nonlinear operators which satisfy our results as an application.