Volume no :14, Issue no: 1, March 2012

APPROXIMATION THEOREMS IN WEIGHTED ORLICZ SPACES

Author's: YUNUS E. YILDIRIR and RAMAZAN CETÄ°NTAS
Pages: [35] - [49]
Received Date: February 15, 2012
Submitted by:

Abstract

In the present work, some direct theorems of the approximation theory in the weighted Orlicz spaces with weights satisfying so called Muckenhoupt’s condition are improved with respect to the fractional moduli of smoothness.

Keywords

direct theorem, weighted Orlicz space, Muckenhoupt weight, fractional modulus of smoothness.