Trigonometric approximation of functions in generalized Lebesgue spaces with variable exponent

  • R. Akgün Balikesir Univ., Turkey


We investigate the approximation properties of the trigonometric system in $L_{2\pi}^{p(\cdot)}$. We consider the fractional order moduli of smoothness and obtain direct, converse approximation theorems together with a constructive characterization of a Lipschitz-type class.
How to Cite
Akgün, R. “Trigonometric Approximation of Functions in Generalized Lebesgue Spaces With Variable Exponent”. Ukrains’kyi Matematychnyi Zhurnal, Vol. 63, no. 1, Jan. 2011, pp. 3-23,
Research articles