2017
Том 69
№ 9

All Issues

Extension of a Function from the Exterior of an Interval to a Positive-Definite Function on the Entire Axis and an Approximation Characteristic of the Class $W_M^{r, β}$

Zastavnyi V. P.

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Abstract

We establish sufficient conditions for the extension of a function defined on $[a, +∞)$, where $a > 0$, to a positive-definite function on the entire axis.

English version (Springer): Ukrainian Mathematical Journal 55 (2003), no. 7, pp 1189–1197.

Citation Example: Zastavnyi V. P. Extension of a Function from the Exterior of an Interval to a Positive-Definite Function on the Entire Axis and an Approximation Characteristic of the Class $W_M^{r, β}$ // Ukr. Mat. Zh. - 2003. - 55, № 7. - pp. 983-990.

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