Log-Convex Polynomial Approximation in Log. of Twice Differentiable Functions

Volume 11 , Issue 1 , December 2008 , Pages 21-28

Authors

¹ College of Science, University of Sulaimani

In this paper, we introduce a new concept of constrained approximation, which we call Log-convex

polynomial approximation in log. We obtained a direct theorem of log-convex polynomial approximation in

log for twice differentiable functions on [-1, 1], in term of the ordinary moduli of continuity.

Keywords: Shape preserving approximation, convex and log-convex functions, Splines,

moduli of continuity and smoothness.

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