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2010

2010

Let / = (a, b) be an interval in R and let Hn' consist of those real-valued functions / such that f is absolutely continuous on… Expand

2007

2007

We obtain the characterization of saturation class and approximation spaces for perfect spline approximation. Also, a generalized… Expand

2007

2007

We present a Chebyshev-type characterization for the best uniform approximations of periodic continuous functions by functions of… Expand

2006

2006

As usual, denote by KW [a, b] the Sobolev class consisting of every function whose (r − 1)st derivative is absolutely continuous… Expand

2005

2005

We present a Hermite interpolation problem via splines of odd-degree which, to the best knowledge of the authors, has not been… Expand

2003

2003

Our study of perfect spline approximation reveals: (i) it is closely related to ΣΔ modulation used in one-bit quantization of… Expand

1987

1987

and a := (0 < & -C . . 1 < & < &+I =: b. In Bojanov (1984) (see also Bojanov 1986a) we studied an extension of the perfect… Expand

1981

1981

THEOREM 1.1 (U. Sattes). Let r > 2 and g E C[O, l]\B$,‘. Then f”EB$’ is a best approximation to g, in L” (such a best… Expand