### On analogue of one problem of Erdös for non-periodic splines on the real domain

#### Abstract

#### Keywords

#### Full Text:

PDF (Русский)#### References

Pinkus A., Shisha O. "Variations on the Chebyshev and $$$L^q$$$-Theories of Best Approximation", *Journal of Approx. Theory*, 1982; 35(2): pp. 148-168. doi:10.1016/0021-9045(82)90033-8

Kofanov V.A. "Exact upper bounds of norms of functions and their derivatives on the classes of functions with given comparison function", *Ukrainian Math. J.*, 2011; 63(7): pp. 969-984. (in Russian) doi:10.1007/s11253-011-0567-z

Bojanov B., Naidenov N. "An extension of the Landau-Kolmogorov inequality. Solution of a problem of Erdös", *J. d'Analyse Mathematique*, 1999; 78: pp. 263-280. doi:10.1007/BF02791137

Erdös P. "Open problems", *Open Problems in Approximation Theory* (B. Bojanov, ed.), SCT Publishing, Singapur, 1994; pp. 238-242.

Magaril-Il'yaev G.G. "Best approximations of functional classes by splines on the real domain", *Trudy mat. in-ta im. Steklova*, 1992; pp. 153-154. (in Russian)

Kofanov V.A. "Some extremum problems in different metrics for differentiable functions on the real domain", *Ukrainian Math. J.*, 2009; 61(6): pp. 765-776. (in Russian) doi:10.1007/s11253-009-0254-5

Kolmogorov A.N. "On inequalities between upper bounds of consecutive derivatives of the function on the infinite interval", *Izbr. tr.: Matematika, mechanika*, Moscow, 2003; pp. 252-263. (in Russian)

Tikhomirov V.M. "Set widths in functional spaces and theory of the best approximations", *Uspekhi mat. nauk*, 1960; 15(3): pp. 81-120. (in Russian)

DOI: https://doi.org/10.15421/241315

### Refbacks

- There are currently no refbacks.

Copyright (c) 2013 V.A. Kofanov

This work is licensed under a Creative Commons Attribution 4.0 International License.