Approximation properties of the Post-Widder operators preserving e2ax,a>0


Sofyalıoğlu M., Kanat K.

Mathematical Methods in the Applied Sciences, cilt.43, sa.7, ss.4272-4285, 2020 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 43 Sayı: 7
  • Basım Tarihi: 2020
  • Doi Numarası: 10.1002/mma.6192
  • Dergi Adı: Mathematical Methods in the Applied Sciences
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus, Academic Search Premier, Aerospace Database, Applied Science & Technology Source, Communication Abstracts, Compendex, INSPEC, MathSciNet, Metadex, zbMATH, Civil Engineering Abstracts
  • Sayfa Sayıları: ss.4272-4285
  • Anahtar Kelimeler: Exponential functions, Post-Widder operators, Voronovskaya-type theorem
  • Ankara Hacı Bayram Veli Üniversitesi Adresli: Evet

Özet

© 2020 John Wiley & Sons, Ltd.This paper deals with constructing the modified form of the Post-Widder operators, which reproduce constant and (Formula presented.) for fixed (Formula presented.). We discuss the uniform convergence of the constructed operators with the function (Formula presented.). We illustrate the convergence behaviour of the new operators with the selected function (Formula presented.). After that, we investigate the rate of convergence by using different types of the modulus of continuity and deal with a quantitative Voronovskaya-type theorem. Finally, we compare our new constructed operators with Post-Widder operators preserving (Formula presented.), (Formula presented.).