Convergence rate of Bézier variant of an operator involving Laguerre polynomials of degree n

Öksüzer Ö., Karsli H., Yeşildal F.

11th International Conference of Numerical Analysis and Applied Mathematics 2013, ICNAAM 2013, Rhodes, Yunanistan, 21 - 27 Eylül 2013, cilt.1558, ss.1160-1163 identifier

  • Yayın Türü: Bildiri / Tam Metin Bildiri
  • Cilt numarası: 1558
  • Doi Numarası: 10.1063/1.4825714
  • Basıldığı Şehir: Rhodes
  • Basıldığı Ülke: Yunanistan
  • Sayfa Sayıları: ss.1160-1163
  • Anahtar Kelimeler: Approximation, Bezier basis, bounded variation, Laguerre Polynomials, Lebesque Stieltjes integration, rate of convergence
  • Ankara Üniversitesi Adresli: Evet

Özet

In this work, we consider the Bézier variant of an operator (P n,αf) which is involving Laguerre polynomial of degree n and estimate the rate of convergence of (Pn, αf)(x,t) to bounded variation functions To prove our main result, we have used some methods and techniques of probability theory. © 2013 AIP Publishing LLC.