APPROXIMATION PROPERTIES OF MODIFIED GAUSS-WEIERSTRASS INTEGRAL OPERATORS IN EXPONENTIALLY WEIGHTED Lp SPACES
Abstract
some approximation results in the exponential weighted Lp spaces. These
operators are reproduce not only 1 but also a certain exponential functions.For
this purpose, rstly we consider modied Gauss-Weierstrass integral operators
from exponentially weighted Lp;a (R) into Lp;2a (R) spaces. Then, we give rate of convergence of the operators in Lp;2a (R) : Also, we prove the convergence of operators in the exponential weighted Lp;2a (R) spaces using the Korovkin type theorem. Finally, we give pointwise convergence of the operators at a generalized Lebesgue point.
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DOI: https://doi.org/10.22190/FUMI200311008Y
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