APPROXIMATION BY JAIN-SCHURER OPERATORS
FACTA UNIVERSITATIS-SERIES MATHEMATICS AND INFORMATICS, cilt.35, sa.5, ss.1343-1356, 2020 (ESCI)
- Yayın Türü: Makale / Tam Makale
- Cilt numarası: 35 Sayı: 5
- Basım Tarihi: 2020
- Doi Numarası: 10.22190/fumi2005343c
- Dergi Adı: FACTA UNIVERSITATIS-SERIES MATHEMATICS AND INFORMATICS
- Derginin Tarandığı İndeksler: Emerging Sources Citation Index (ESCI)
- Sayfa Sayıları: ss.1343-1356
- Anahtar Kelimeler: Jain-Schurer operators, monotonicity, moduli of smoothness, Voronovskaja-type result, SZASZ, POLYNOMIALS
- Açık Arşiv Koleksiyonu: AVESİS Açık Erişim Koleksiyonu
- Ankara Üniversitesi Adresli: Evet
Özet
In this paper we deal with Jain-Schurer operators. We give an estimate, related to the degree of approximation, via moduli of smoothness of the first and the second order. Also, we present a Voronovskaja-type result. Moreover, we show that the Jain-Schurer operators preserve the properties of a modulus of continuity. Finally, we study monotonicity of the sequence of the Jain-Schurer operators when the attached function is convex and non-decreasing.