Generalization of A.A. Ligun's inequality to $$$L_q$$$, $$$q \in [0, 1)$$$ spaces

V.A. Kofanov (Oles Honchar Dnipropetrovsk National University), https://orcid.org/0000-0003-0392-2257

Abstract


We obtain generalization of the known A.A. Ligun's inequality to non-normed $$$L_q$$$-spaces for derivatives of periodic functions.

References


Ligun A.A. "Inequalities for upper bounds of functionals", Analys. Math., 1976; 2(1): pp. 11-40. doi:10.1007/BF02079905

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Ligun A.A. "Sharp inequalities for spline-functions and the best quadrature formulae for certain classes of functions", Math. Notes, 1976; 19(6): pp. 913-926. doi:10.1007/BF01149933


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Babenko V.F., Korneichuk N.P., Kofanov V.A., Pichugov S.A. Inequalities for derivatives and their applications, Naukova dumka, 2003.




DOI: https://doi.org/10.15421/240813

  

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