The best L1-approximations of classes of functions defined by differential operators in terms of generalized splines from these classes

Authors

  • V. F. Babenko
  • Azar Leis

Abstract

For classes of periodic functions defined by constraints imposed on the L1-norm of the result of action of differential operators with constant coefficients and real spectrum on these functions, we determine the exact values of the best L1-approximations by generalized splines from the classes considered.

Published

25.11.1998

Issue

Section

Research articles

How to Cite

Babenko, V. F., and Azar Leis. “The Best L1-Approximations of Classes of Functions Defined by Differential Operators in Terms of Generalized Splines from These Classes”. Ukrains’kyi Matematychnyi Zhurnal, vol. 50, no. 11, Nov. 1998, pp. 1443-51, https://umj.imath.kiev.ua/index.php/umj/article/view/4796.