Multivariate sampling kantorovich operators: Quantitative estimates in orlicz spaces
Constructive Mathematical Analysis, cilt.4, sa.2, ss.229-241, 2021 (Scopus, TRDizin)
- Yayın Türü: Makale / Tam Makale
- Cilt numarası: 4 Sayı: 2
- Basım Tarihi: 2021
- Doi Numarası: 10.33205/cma.876890
- Dergi Adı: Constructive Mathematical Analysis
- Derginin Tarandığı İndeksler: Scopus, TR DİZİN (ULAKBİM)
- Sayfa Sayıları: ss.229-241
- Anahtar Kelimeler: Lipschitz classes, Modulus of smoothness, Multivariate sampling Kantorovich operators, Orlicz spaces, Quantitative estimates
- Açık Arşiv Koleksiyonu: AVESİS Açık Erişim Koleksiyonu
- Ankara Hacı Bayram Veli Üniversitesi Adresli: Hayır
Özet
© Oriental Studies 2021.In this paper, we establish a quantitative estimate for multivariate sampling Kantorovich operators by means of the modulus of smoothness in the general setting of Orlicz spaces. As a consequence, the qualitative order of convergence can be obtained, in case of functions belonging to suitable Lipschitz classes. In the particular instance of Lp-spaces, using a direct approach, we obtain a sharper estimate than that one that can be deduced from the general case.