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The L(r, t) Summability Transform

Published online by Cambridge University Press:  20 November 2018

Robert E. Powell
Robert E. Powell*
Affiliation:
Lehigh University
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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
Canadian Journal of Mathematics , Volume 18 , 1966 , pp. 1251 - 1260
Copyright
Copyright © Canadian Mathematical Society 1966

References

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