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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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