Author/Authors :
Cakir, Zeynep Ankara University - Department of Mathematics, Ankara, Turkey , Aykol, Canay Ankara University - Department of Mathematics, Ankara, Turkey , Soylemez, Dilek Ankara University - Department of Mathematics, Ankara, Turkey , Serbetci, Ayhan Ankara University - Department of Mathematics, Ankara, Turkey
Abstract :
In this paper, we investigate the best approximation by trigonometric polynomials in Morrey
space Lp;(I0) with 1 < p < 1 and I0 = [0; 2]. We prove the direct and inverse theorems of approximation
by trigonometric polynomials in the spaces eL
p;(I0) the closure of C1(I0) in Lp;(I0). To prove
these theorems we get the characterization of Kfunctionals in terms of the modulus of smoothness and
give the Bernstein type inequality for trigonometric polynomials in the spaces Lp;(I0)
