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In this monograph, we present the authors' recent work of the last
seven years in Approximation Theory. Chapters are self-contained
and can be read independently and advanced courses can be taught
out of this book. Here our generalized discrete singular operators
are of the following types: Picard, Gauss-Weierstrass and
Poisson-Cauchy operators. We treat both the unitary and
non-unitary, univariate and multivariate cases of these operators,
which are not necessarily positive operators. The book's results
are expected to find applications in many areas of pure and applied
mathematics, and statistics. As such, it is suitable for
researchers, graduate students, and seminars of related subjects,
and serves well as an invaluable resource for all science
libraries.
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