On Lupas-Jain operators

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BAŞCANBAZ TUNCA G., Bodur M., Soylemez D.

STUDIA UNIVERSITATIS BABES-BOLYAI MATHEMATICA, cilt.63, sa.4, ss.525-537, 2018 (ESCI) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 63 Sayı: 4
  • Basım Tarihi: 2018
  • Doi Numarası: 10.24193/subbmath.2018.4.08
  • Dergi Adı: STUDIA UNIVERSITATIS BABES-BOLYAI MATHEMATICA
  • Derginin Tarandığı İndeksler: Emerging Sources Citation Index (ESCI), Scopus
  • Sayfa Sayıları: ss.525-537
  • Anahtar Kelimeler: Lupas operator, Jain operator, convexity, weighted uniform approximation, modulus of continuity function, APPROXIMATION PROPERTIES
  • Ankara Üniversitesi Adresli: Evet

Özet

In this paper, linear positive Lupas-Jain operators are constructed and a recurrence formula for the moments is given. For the sequence of these operators; the weighted uniform approximation, also, monotonicity under convexity are obtained. Moreover, a preservation property of each Lupas-Jain operator is presented.