|
|
|
|
|
A theorem of J. L.
Walsh, revisited
Alfred Sebastian Cavaretta, Jr., Ambikeshwar Sharma and Richard Steven Varga |
|
Vol. 118 (1985), No. 2, 313–322
|
Abstract |
|
The well-known and beautiful result of J. L. Walsh, on the overconvergence of sequences of differences of polynomials interpolating a function f(z) analytic in |z| < ρ (but having a singularity on |z| = ρ), where 1 < ρ < ∞, has been recently extended in a new direction by T. J. Rivlin. We give here three new extensions of Rivlin’s result, which include Hermite and Birkhoff interpolation. |
Mathematical Subject Classification 2000
Primary: 30E05
|
Milestones
Received: 5 March 1984
Published: 1 June 1985
|
Authors |
| Alfred Sebastian Cavaretta, Jr. | |
| Ambikeshwar Sharma | |
| Richard Steven Varga | |
|
