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

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Ukrainian Mathematical Journal Aims and scope

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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References

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Authors and Affiliations

  1. Dnepropetrovsk National University, Dnepropetrovsk, Ukraine

    O. V. Polyakov

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  1. O. V. Polyakov
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Translated from Ukrains’kyi Matematychnyi Zhurnal, Vol. 65, No. 7, pp. 1015–1020, July, 2013.

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Polyakov, O.V. On the Best (α;β)-Approximations of Convex Functions by Constants in Integral Metrics. Ukr Math J 65, 1134–1140 (2013). https://doi.org/10.1007/s11253-013-0848-9

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  • DOI: https://doi.org/10.1007/s11253-013-0848-9

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