Ukrainian Mathematical Journal

, Volume 61, Issue 1, pp 112–120 | Cite as

Exact constants in Jackson-type inequalities for L 2-approximation on an axis

  • A. A. Ligun
  • V. G. Doronin

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.


Entire Function Periodic Function Mathematical Journal Type Inequality Trigonometric Polynomial 
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  1. 1.
    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).Google Scholar
  2. 2.
    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).zbMATHMathSciNetGoogle Scholar
  3. 3.
    A. A. Ligun, “Exact Jackson-type inequalities for periodic functions in the space L 2,” Mat. Zametki, 43, No. 6, 757–769 (1988).MathSciNetGoogle Scholar
  4. 4.
    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).zbMATHMathSciNetGoogle Scholar
  5. 5.
    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).Google Scholar

Copyright information

© Springer Science+Business Media, Inc. 2009

Authors and Affiliations

  • A. A. Ligun
  • V. G. Doronin
    • 1
  1. 1.Dnepropetrovsk National UniversityDnepropetrovskUkraine

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