Approximation properties of generalized Baskakov–Schurer–Szasz–Stancu operators preserving e − 2 a x , a> 0

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Sofyalıoğlu M., Kanat K.

Journal of Inequalities and Applications, cilt.2019, 2019 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 2019
  • Basım Tarihi: 2019
  • Doi Numarası: 10.1186/s13660-019-2062-2
  • Dergi Adı: Journal of Inequalities and Applications
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Anahtar Kelimeler: Exponential functions, Modulus of continuity, Voronovskaya-type theorem
  • Ankara Hacı Bayram Veli Üniversitesi Adresli: Evet

Özet

The current paper deals with a modified form of the Baskakov–Schurer–Szasz–Stancu operators which preserve e − 2 a x for a> 0. The uniform convergence of the modified operators is shown. The rate of convergence is investigated by using the usual modulus of continuity and the exponential modulus of continuity. Then Voronovskaya-type theorem is given for quantitative asymptotic estimation.