ON COMPLEX MODIFIED BERNSTEIN-STANCU OPERATORS

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ÇETİN N.

MATHEMATICAL FOUNDATIONS OF COMPUTING, 2022 (ESCI) identifier

  • Yayın Türü: Makale / Tam Makale
  • Basım Tarihi: 2022
  • Doi Numarası: 10.3934/mfc.2021043
  • Dergi Adı: MATHEMATICAL FOUNDATIONS OF COMPUTING
  • Derginin Tarandığı İndeksler: Emerging Sources Citation Index (ESCI)
  • Anahtar Kelimeler: Perturbed Bernstein operator, complex Bernstein-Stancu operator, quantitative estimates, simultaneous approximation, equivalence
  • Ankara Hacı Bayram Veli Üniversitesi Adresli: Evet

Özet

The present paper deals with complex form of a generalization of perturbed Bernstein-type operators. Quantitative upper estimates for simultaneous approximation, a qualitative Voronovskaja type result and the exact order of approximation by these operators attached to functions analytic in a disk centered at the origin with radius greater than 1 are obtained in this study.