ON BIVARIATE JAIN OPERATORS

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Akcay M., BAŞCANBAZ TUNCA G.

MATHEMATICAL FOUNDATIONS OF COMPUTING, cilt.5, sa.3, ss.173-185, 2022 (ESCI) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 5 Sayı: 3
  • Basım Tarihi: 2022
  • Doi Numarası: 10.3934/mfc.2021026
  • Dergi Adı: MATHEMATICAL FOUNDATIONS OF COMPUTING
  • Derginin Tarandığı İndeksler: Emerging Sources Citation Index (ESCI)
  • Sayfa Sayıları: ss.173-185
  • Anahtar Kelimeler: Bivariate Jain operator, modulus of continuity, monotonicity, Voronovskaja type theorem, APPROXIMATION PROPERTIES, POLYNOMIALS
  • Ankara Üniversitesi Adresli: Evet

Özet

In this paper we deal with bivariate extension of Jain operators. Using elementary method, we show that these opearators are non-increasing in n when the attached function is convex. Moreover, we demonstrate that these operators preserve the properties of modulus of continuity. Finally, we present a Voronovskaja type theorem for the sequence of bivariate Jain operators.