Methods of Trigonometric Approximation and Generalized Smoothness. II.


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Authors

  • Sergei Artamonov
  • Konstantin Runovski
  • Hans-Jürgen Schmeisser

Keywords:

trigonometric approximation, summability, K-functionals, moduli of smoothness, periodic Besov spaces

Abstract

The paper deals with the equivalence of approximation errors in Lp-spaces (0 < p < ∞) with respect to approximation processes, generalized K-functionals and appropriate moduli of smoothness. The results are used to derive various characterizations of periodic Besov spaces by means of constructive approximation and moduli of smoothness. The main focus lies on spaces Bsp,q(Td), where 0 < p < 1, 0 < q ≤ ∞ and s > 0.

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Published

2022-01-01

How to Cite

Artamonov, S., Runovski, K., & Schmeisser, H.-J. (2022). Methods of Trigonometric Approximation and Generalized Smoothness. II. Eurasian Mathematical Journal, 13(4), 18–43. Retrieved from https://emj.enu.kz/index.php/main/article/view/269

Issue

Vol. 13 No. 4 (2022)

Section

Articles