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

Authors

  • O. V. Polyakov Днепропетр. нац. ун-т

Abstract

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

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Published

25.07.2013

Issue

Vol. 65 No. 7 (2013)

Section

Short communications

How to Cite

Polyakov, O. V. “On the Best (α;β)-Approximations of Convex Functions by Constants in Integral Metrics”. Ukrains’kyi Matematychnyi Zhurnal, vol. 65, no. 7, July 2013, pp. 1015–1020, https://umj.imath.kiev.ua/index.php/umj/article/view/2487.