Best simultaneous approximation of periodic functions and their derivatives by trigonometric polynomials

1984 ◽  
Vol 36 (6) ◽  
pp. 603-608
Author(s):  
V. A. Sorich
Keyword(s):  
Simultaneous Approximation ◽  
Trigonometric Polynomials ◽  
Periodic Functions ◽  
Best Simultaneous Approximation ◽  
Approximation Of Periodic Functions

Simultaneous approximation of periodic functions and their derivatives

1984 ◽  
Vol 36 (6) ◽  
pp. 935-940
Author(s):  
N. N. Sorich ◽  
A. I. Stepanets
Keyword(s):  
Simultaneous Approximation ◽  
Periodic Functions ◽  
Approximation Of Periodic Functions

scholarly journals Best Simultaneous Approximation in Orlicz Spaces

2007 ◽  
Vol 2007 ◽  
pp. 1-7 ◽  
Author(s):  
M. Khandaqji ◽  
Sh. Al-Sharif
Keyword(s):  
Banach Space ◽  
Simultaneous Approximation ◽  
Closed Subspace ◽  
Orlicz Spaces ◽  
Unit Interval ◽  
Luxemburg Norm ◽  
Integrable Functions ◽  
Best Simultaneous Approximation ◽  
Distance Formula

LetXbe a Banach space and letLΦ(I,X)denote the space of OrliczX-valued integrable functions on the unit intervalIequipped with the Luxemburg norm. In this paper, we present a distance formula dist(f1,f2,LΦ(I,G))Φ, whereGis a closed subspace ofX, andf1,f2∈LΦ(I,X). Moreover, some related results concerning best simultaneous approximation inLΦ(I,X)are presented.

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