AbstractWe show that complex Kergin interpolation may be defind in any domain that is C-convex, whereas the original definition required ordinary, real convexity. We also provide a counterexample which essentially shows that this is the most general definition possible. Finally we give an application concerning approximation of entire functions
We give estimates for the characteristic of convexity of the Banach spaces obtained by complex inter...
In a recent paper, Warren, Schaefer, Hirani, and Desbrun proposed a simple method of interpolating a...
It is proved that ifX0 orX1 is uniformly non-l1n then [X0,X1] (the intermediate spaces obtained by ...
AbstractWe show that complex Kergin interpolation may be defind in any domain that is C-convex, wher...
AbstractWe show that complex mean-value interpolation, a generalizationof Lagrange–Hermite interpola...
We investigate the concepts of linear convexity and C-convexity in complex Banach spaces. The main r...
The relations between the complex theory of interpolation for families of Banach spaces and the noti...
It is shown that the property of (n, d)-convexity is stable under complex interpolation for a family...
We present a counterexample that solves, with a negative answer, an open problem in the theory of co...
AbstractWe show that Kergin interpolation, a generalized Lagrange–Hermite polynomial interpolation, ...
The relations between the k-uniform convexity of Banach spaces and both the real and the complex met...
The conclusions of various interpolation theorems are different in nature. Some of them only allow o...
AbstractWe develop the complex interpolation associated with derivatives of analytic functions such ...
We prove a complex formulation of the real interpolation method, showing that the real and complex i...
We study those compatible couples of Banach spaces for which the complex method interpolation spaces...
We give estimates for the characteristic of convexity of the Banach spaces obtained by complex inter...
In a recent paper, Warren, Schaefer, Hirani, and Desbrun proposed a simple method of interpolating a...
It is proved that ifX0 orX1 is uniformly non-l1n then [X0,X1] (the intermediate spaces obtained by ...
AbstractWe show that complex Kergin interpolation may be defind in any domain that is C-convex, wher...
AbstractWe show that complex mean-value interpolation, a generalizationof Lagrange–Hermite interpola...
We investigate the concepts of linear convexity and C-convexity in complex Banach spaces. The main r...
The relations between the complex theory of interpolation for families of Banach spaces and the noti...
It is shown that the property of (n, d)-convexity is stable under complex interpolation for a family...
We present a counterexample that solves, with a negative answer, an open problem in the theory of co...
AbstractWe show that Kergin interpolation, a generalized Lagrange–Hermite polynomial interpolation, ...
The relations between the k-uniform convexity of Banach spaces and both the real and the complex met...
The conclusions of various interpolation theorems are different in nature. Some of them only allow o...
AbstractWe develop the complex interpolation associated with derivatives of analytic functions such ...
We prove a complex formulation of the real interpolation method, showing that the real and complex i...
We study those compatible couples of Banach spaces for which the complex method interpolation spaces...
We give estimates for the characteristic of convexity of the Banach spaces obtained by complex inter...
In a recent paper, Warren, Schaefer, Hirani, and Desbrun proposed a simple method of interpolating a...
It is proved that ifX0 orX1 is uniformly non-l1n then [X0,X1] (the intermediate spaces obtained by ...
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