2017
Том 69
№ 9

All Issues

On the Best (α;β)-Approximations of Convex Functions by Constants in Integral Metrics

Polyakov O. V.

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Abstract

We prove inequalities connecting the constants of the best (α;β) -approximation in the space L p for various values of p.

English version (Springer): Ukrainian Mathematical Journal 65 (2013), no. 7, pp 1134-1140.

Citation Example: Polyakov O. V. On the Best (α;β)-Approximations of Convex Functions by Constants in Integral Metrics // Ukr. Mat. Zh. - 2013. - 65, № 7. - pp. 1015–1020.

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