CONVERGENCE THEOREMS IN ORLICZ AND BOGEL CONTINUOUS FUNCTIONS SPACES BY MEANS OF KANTOROVICH DISCRETE TYPE SAMPLING OPERATORS

Ayan, Serkan; Ispir, NURHAYAT

doi:10.3934/mfc.2022056

CONVERGENCE THEOREMS IN ORLICZ AND BOGEL CONTINUOUS FUNCTIONS SPACES BY MEANS OF KANTOROVICH DISCRETE TYPE SAMPLING OPERATORS

Ayan S., Ispir N.

MATHEMATICAL FOUNDATIONS OF COMPUTING, cilt.6, sa.3, ss.354-368, 2023 (ESCI, Scopus)

Yayın Türü: Makale / Tam Makale
Cilt numarası: 6 Sayı: 3
Basım Tarihi: 2023
Doi Numarası: 10.3934/mfc.2022056
Dergi Adı: MATHEMATICAL FOUNDATIONS OF COMPUTING
Derginin Tarandığı İndeksler: Emerging Sources Citation Index (ESCI), Scopus
Sayfa Sayıları: ss.354-368
Gazi Üniversitesi Adresli: Evet

Özet

In this study, we prove the convergence theorems on the space of compactly supported functions and in the general setting of Orlicz spaces for a general class of Kantorovich type discrete operators defined by Carlo Bardaro and Ilaria Mantellini. We also define the generalized Boolean sum (GBS) operator for the class of bivariate Kantorovich type discrete operators and examine the approximation properties of GBS operators in the space of Bogel functions.