Article contents
The L(r, t) Summability Transform
Published online by Cambridge University Press: 20 November 2018
Extract
In a recent article Cheney and Sharma (1) studied the linear operator Pn defined by
where
here Lj(n)(t) denotes the Laguerre polynomial of degree j. Cheney and Sharma proved that if f is continuous on [0, 1], then Pn(f, x) converges uniformly to f(x) on [0, a] where 0 < a < 1.
- Type
- Research Article
- Information
- Copyright
- Copyright © Canadian Mathematical Society 1966
References
- 4
- Cited by