New modification of the Post Widder operators preserving exponential functions

Sofyalıoğlu Aksoy M.

Arab Journal of Basic and Applied Sciences, cilt.31, sa.1, ss.93-103, 2024 (Scopus) identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 31 Sayı: 1
  • Basım Tarihi: 2024
  • Doi Numarası: 10.1080/25765299.2024.2302536
  • Dergi Adı: Arab Journal of Basic and Applied Sciences
  • Derginin Tarandığı İndeksler: Scopus
  • Sayfa Sayıları: ss.93-103
  • Anahtar Kelimeler: exponential functions, Post-Widder operators, Voronovskaya-type theorem
  • Ankara Hacı Bayram Veli Üniversitesi Adresli: Evet

Özet

The current article deals with a modification of the Post-Widder operators which reproduce the exponential functions both (Formula presented.) and (Formula presented.) for (Formula presented.) The central moments, uniform convergence of the operators and the rate of convergence of these operators with the help of modulus of continuity are estimated. Also, a Voronovskaja-type asymptotic formula is established. After that, numerical results are obtained to confirm the theoretical results. Finally, new constructed operators are compared with modified Post-Widder operators.