Comparison theorems for derivatives and some of their applications

V.F. Babenko (Oles Honchar Dnipropetrovsk National University), https://orcid.org/0000-0001-6677-1914
O.V. Kovalenko (Oles Honchar Dnipropetrovsk National University), https://orcid.org/0000-0002-0446-1125

Abstract


Analogues of Kolmogorov comparison theorems and some of their applicatons were established.

Keywords


comparison theorems; inequalities for derivatives

References


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Ligun A.A. "Inequalities for upper bounds of functionals", Analysis Math., 1976; 2(1): pp. 11-40.

Babenko V.F., Kofanov V.A., Pichugov S.A. "Comparison of rearrangement and Kolmogorov-Nagy type inequalities for periodic functions", Approx. Theory: A volume dedicated to Blagovest Sendov (B. Bojanov, ed.), Darba, Sofia, 2002; pp. 24-53.

Babenko V.F., Kofanov V.A., Pichugov S.A. "Inequalities for norms of intermediate derivatives of periodic functions and their applications", Approx. Theory: A volume dedicated to Blagovest Sendov (B. Bojanov, ed.), Darba, Sofia, 2002; 3: pp. 251-376.

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

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DOI: https://doi.org/10.15421/241204

  

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Copyright (c) 2012 V.F. Babenko, O.V. Kovalenko

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ISSN (Online): 2664-5009
ISSN (Print): 2664-4991
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