Convergence rate of Bézier variant of an operator involving Laguerre polynomials of degree n
11th International Conference of Numerical Analysis and Applied Mathematics 2013, ICNAAM 2013, Rhodes, Yunanistan, 21 - 27 Eylül 2013, cilt.1558, ss.1160-1163, (Tam Metin Bildiri)
- 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.