The best $L_1$-approximations of classes of functions defined by differential operators in terms of generalized splines from these classes

  • V. F. Babenko
  • Azar Leis

Abstract

For classes of periodic functions defined by constraints imposed on the $L_1$-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 $L_1$-approximations by generalized splines from the classes considered.
Published
25.11.1998
How to Cite
BabenkoV. F., and LeisA. “The Best $L_1$-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.
Section
Research articles