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The aim of this paper is to obtain several results in
approximation by Jackson-type generalizations of complex Picard,
Poisson-Cauchy and Gauss-Weierstrass singular integrals in terms
of higher order moduli of smoothness. In addition, these
generalized integrals preserve some sufficient conditions for
starlikeness and univalence of analytic functions. Also
approximation results for vector-valued functions defined on the
unit disk are given.
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참고문헌 (8)
참고문헌 신청
/ / it Geometric and approximation properties of some singularintegrals in the unit disk
/ 1998 / it Degree of approximation of continuous functionsby some singular integrals anal. num\'er. th\'eor. approx. : 251 ~
/ 1999. / it Geometric theory of univalent functions : 8 ~
/ 2000 / it Convergence ofgeneralized singular integrals to the unit : 511 ~
/ 2001 / it Convolution-type integral operators in complex approximation : 417 ~
/ 1998 / it Degree of approximation of continuous functionsby some singular integrals anal. num\'er. th\'eor. approx. : 251 ~
/ 1999. / it Geometric theory of univalent functions : 8 ~
/ 2000 / it Convergence ofgeneralized singular integrals to the unit : 511 ~
/ 2001 / it Convolution-type integral operators in complex approximation : 417 ~
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