Dunkl generalization of Phillips operators and approximation in weighted spaces

• Main Authors: Mursaleen, Mohammad, Nasiruzzaman, Mohammad, Kilicman, Adem, Sapar, Siti Hasana
• Format: Article
• Language: English
• Published: Springer 2020
• Online Access: http://psasir.upm.edu.my/id/eprint/88536/1/ABSTRACT.pdf; http://psasir.upm.edu.my/id/eprint/88536/; https://advancesindifferenceequations.springeropen.com/articles/10.1186/s13662-020-02820-9

The purpose of this article is to introduce a modification of Phillips operators on the interval [12,∞) via a Dunkl generalization. We further define the Stancu type generalization of these operators as S∗n,υ(f;x)=n2eυ(nχn(x))∑∞ℓ=0(nχn(x))ℓγυ(ℓ)∫∞0e−ntnℓ+2υθℓ−1tℓ+2υθℓγυ(ℓ)f(nt+αn+β)dt, f∈Cζ(R+), and...