Approximation by Cheney-Sharma Chlodovsky operators

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Soylemez D., TAŞDELEN YEŞİLDAL F.

HACETTEPE JOURNAL OF MATHEMATICS AND STATISTICS, cilt.49, sa.2, ss.510-522, 2020 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 49 Sayı: 2
  • Basım Tarihi: 2020
  • Doi Numarası: 10.15672/hujms.458188
  • Dergi Adı: HACETTEPE JOURNAL OF MATHEMATICS AND STATISTICS
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus, zbMATH, TR DİZİN (ULAKBİM)
  • Sayfa Sayıları: ss.510-522
  • Anahtar Kelimeler: Cheney-Sharma Chlodovsky operators, weighted approximation, rate of approximation, A-statistical approximation, STATISTICAL APPROXIMATION, CONVERGENCE, THEOREMS, VARIANT
  • Ankara Üniversitesi Adresli: Evet

Özet

The main purpose of this paper is to construct Cheney-Sharma Chlodovsky operators. We study approximation properties of the new operators with the help of weighted Korovkin-type theorem and universal Korovkin-type theorem. We also give the rate of convergence by means of the modulus of continuity. Furthermore, we give A-statistical convergence property of these operators.