APPROXIMATION BY JAIN-SCHURER OPERATORS

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Cetin N., BAŞCANBAZ TUNCA G.

FACTA UNIVERSITATIS-SERIES MATHEMATICS AND INFORMATICS, cilt.35, sa.5, ss.1343-1356, 2020 (ESCI) identifier

  • 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
  • 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.