Uniform Boundedness of Kantorovich Operators in Variable Exponent Lebesgue Spaces
FILOMAT, cilt.33, sa.18, ss.5755-5765, 2019 (SCI-Expanded, Scopus)
- Yayın Türü: Makale / Tam Makale
- Cilt numarası: 33 Sayı: 18
- Basım Tarihi: 2019
- Doi Numarası: 10.2298/fil1918755a
- Dergi Adı: FILOMAT
- Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
- Sayfa Sayıları: ss.5755-5765
- Atatürk Üniversitesi Adresli: Evet
Özet
In this paper, the Kantorovich operators K-n, n is an element of N are shown to be uniformly bounded in variable exponent Lebesgue spaces on the closed interval [0, 1]. Also an upper estimate is obtained for the difference K-n(f) - f for functions f of regularity of order 1 and 2 measured in variable exponent Lebesgue spaces, which is of interest on its own and can be applied to other problems related to the Kantorovich operators.