Displaying similar documents to “Some remarks an interpolation of operators and Fourier coefficients”

On a new kind of 2-periodic trigonometric interpolation

Tianzi Jiang, Songde Ma (1996)

Applications of Mathematics

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It is well-known that the interpolation theory plays an important role in many fields of computer vision, especially in surface reconstruction. In this paper, we introduce a new kind of 2-period interpolation of functions with period 2 π . We find out the necessary and sufficient conditions for regularity of this new interpolation problem. Moreover, a closed form expression for the interpolation polynomial is given. Our interpolation is of practical significance. Our results provide the...

Inequalities and interpolation.

L. Maligranda, L. E. Persson (1993)

Collectanea Mathematica

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Some examples of the close interaction between inequalities and interpolation are presented and discussed. An interpolation technique to prove generalized Clarkson inequalities is pointed out. We also discuss and apply to the theory of interpolation the recently found facts that the Gustavsson-Peetre class P can be described by one Carlson type inequality and that the wider class P can be characterized by another Carlson type inequality with blocks.