Ukrainian Mathematical Journal

, Volume 49, Issue 11, pp 1682–1687 | Cite as

On extremal problems on classes of functions defined by integral moduli of continuity

  • A. A. Ligun
  • E. V. Chernaya


We obtain lower bounds for solutions of some extremal problems on classes of functions W rH 1 ω with integral modulus of continuity ω(t). Some of these bounds are regarded as exact.


Periodic Function Extremal Problem Quadrature Formula Trigonometric Polynomial Nonnegative Function 
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© Plenum Publishing Corporation 1998

Authors and Affiliations

  • A. A. Ligun
  • E. V. Chernaya

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