Abstract
For a functional on the classH (n)ω ,n≥3, we construct the extremal function on which the upper bound obtained by A. I. Stepanets is attained.
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References
A. I. Stepanets,Uniform Approximations by Trigonometric Polynomials [in Russian], Naukova Dumka, Kiev (1981).
N. P. Korneichuk,Extremum Problems of Approximation Theory [in Russian], Nauka, Moscow (1976).
A. I. Stepanets, “An extremum problem in the space of continuous functions of two variables”, in:Problems in the Theory of Approximation of Functions and Applications [in Russian], IMAN Ukrain. SSR, Kiev (1976), pp. 160–178.
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Translated fromMatematicheskie Zametki, Vol. 61, No. 4, pp. 519–529, April, 1997.
Translated by N. K. Kulman
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Gorbachev, D.V. Construction of the extremal function for a functional on the classH (n)ω . Math Notes 61, 430–439 (1997). https://doi.org/10.1007/BF02354987
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DOI: https://doi.org/10.1007/BF02354987