We obtain theorems that characterize the degree of the rational function of the best (α; β) -approximation in the space L p and conditions under which the value of the best rational (α; β) -approximation is less than the best (α; β) -approximation by algebraic polynomials.
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References
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Translated from Ukrains’kyi Matematychnyi Zhurnal, Vol. 64, No. 11, pp. 1575–1577, November, 2012.
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Polyakov, O.V., Ruchaevskaya, N.O. On rational functions of the best nonsymmetric approximations in integral metrics. Ukr Math J 64, 1780–1783 (2013). https://doi.org/10.1007/s11253-013-0751-4
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DOI: https://doi.org/10.1007/s11253-013-0751-4