We investigate exact constants in Jackson-type inequalities in the space L 2 for the approximation of functions on an axis by the subspace of entire functions of exponential type.
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V. Yu. Popov, “On the best mean-square approximations by entire functions of exponential type,” Izv. Vyssh. Uchebn. Zaved., Ser. Mat., 121, No. 6, 65–73 (1972).
A. A. Ligun, “On some inequalities between the best approximations and moduli of continuity in the space L 2,” Mat. Zametki, 24, No. 6, 785–792 (1978).
A. A. Ligun, “Exact Jackson-type inequalities for periodic functions in the space L 2,” Mat. Zametki, 43, No. 6, 757–769 (1988).
V. Doronin and A. Ligun, “On the exact constants in Jackson’s type inequalities in the space L 2,” East J. Approxim., 1, No. 2, 189–196 (1995).
V. G. Doronin and A. A. Ligun, “On exact Jackson-type inequalities for entire functions in L 2,” Visn. Dnipropetrovs’k. Univ., No. 8, 89–93 (2007).
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A. A. Ligun (Deceased.)
Translated from Ukrains’kyi Matematychnyi Zhurnal, Vol. 61, No. 1, pp. 92–98, January, 2009.
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Ligun, A.A., Doronin, V.G. Exact constants in Jackson-type inequalities for L 2-approximation on an axis. Ukr Math J 61, 112–120 (2009). https://doi.org/10.1007/s11253-009-0192-2
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DOI: https://doi.org/10.1007/s11253-009-0192-2