Abstract
We investigate the concepts of linear convexity and
We investigate the concepts of linear convexity and
M. Andersson and M. Passare, “Complex Kergin interpolation,” Journal of Approximation Theory, vol. 64, no. 2, pp. 214–225, 1991.
View at: Publisher Site | Google Scholar | Zentralblatt MATH | MathSciNetM. Andersson, M. Passare, and R. Sigurdsson, Complex Convexity and Analytic Functionals, vol. 225 of Progress in Mathematics, Birkhäuser, Basel, 2004.
View at: Google Scholar | Zentralblatt MATH | MathSciNetF. Deutsch, Best Approximation in Inner Product Spaces, CMS Books in Mathematics, Springer, New York, 2001.
View at: Google Scholar | Zentralblatt MATH | MathSciNetJ. Diestel and J. J. Uhl, Jr., Vector Measures, American Mathematical Society (Mathematical Surveys, no. 15), Rhode Island, 1977.
View at: Google Scholar | Zentralblatt MATH | MathSciNetL. Filipsson, On polynomial interpolation and complex convexity, M.S. thesis, KTH, Stockholm, 1999.
View at: Google ScholarL. Hörmander, Notions of Convexity, vol. 127 of Progress in Mathematics, Birkhäuser Boston, Massachusetts, 1994.
View at: Google Scholar | Zentralblatt MATH | MathSciNetP. Kergin, “A natural interpolation of functions,” Journal of Approximation Theory, vol. 29, no. 4, pp. 278–293, 1980.
View at: Publisher Site | Google Scholar | Zentralblatt MATH | MathSciNetC. A. Micchelli and P. Milman, “A formula for Kergin interpolation in ,” Journal of Approximation Theory, vol. 29, no. 4, pp. 294–296, 1980.
View at: Publisher Site | Google Scholar | Zentralblatt MATH | MathSciNetJ. Mujica, Complex Analysis in Banach Spaces, vol. 120 of North-Holland Mathematics Studies, North-Holland, Amsterdam, 1986.
View at: Google Scholar | Zentralblatt MATH | MathSciNetG. Nürnberger and M. Sommer, “Characterization of continuous selections of the metric projection for spline functions,” Journal of Approximation Theory, vol. 22, no. 4, pp. 320–330, 1978.
View at: Google Scholar | Zentralblatt MATH | MathSciNet