Approximative properties of diagonal operators in Orlicz spaces

Abstract

We obtain the exact values of some important approximative quantities (such as, the best approximation, the basis width, Kolmogorov's width and the best $n$-term approximation) of certain sets of images of the diagonal operators in the Orlicz sequence spaces $l_M$.

References in corpus (1)

• On some inequalities of Chebyshev type

Cited by in corpus (2)

• Direct and inverse approximation theorems of functions in the Orlicz type spaces S_M
• Actual problems of the approximation theory in metrics of discrete spaces on sets of summable periodic and almost periodic functions