Abstract. A discrete version of the $\theta $-summability is introduced for higher dimensions. It is proved that the discrete $\theta $-means of a continuous function converge uniformly to the function. Moreover, the multi-dimensional Jackson polynomials converge uniformly to the continuous function.
AMS Subject Classification
(1991): 42B08, 46E30, 42A38
Keyword(s):
Wiener amalgam spaces,
Herz spaces,
\theta,
discrete-summability,
Fejér summability,
Jackson polynomials,
Hermite interpolation
Received October 14, 2008, and in revised form January 6, 2009. (Registered under 6070/2009.)
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