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Some inequalities in trigonometric approximation

Published online by Cambridge University Press:  17 April 2009

Chin-Hung Ching  and
Charles K. Chui
Chin-Hung Ching
Affiliation:
Department of Mathematics, Texas A&M University, College Station, Texas, USA Department of Mathematics, University of Melbourne, Parkville, Victoria;
Charles K. Chui
Affiliation:
Department of Mathematics, Texas A&M University, College Station, Texas, USA.
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Abstract

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For a nonconstant L2 (−π, π) function f, we prove that and that the inequalities are sharp.

Type
Research Article
Information
Bulletin of the Australian Mathematical Society , Volume 8 , Issue 3 , June 1973 , pp. 393 - 395
Copyright
Copyright © Australian Mathematical Society 1973

References

[1]Церных, H.N. \N.I. Černyh], “О неравенстве джексона в L2”, [On Jackson's inequality in L2], Trudy Mat. Inst. Steklov. 88 (1967), 71–74; quoted from Proc. Steklov Inst. Math. (Amer. Math. Soc.) 88 (1969), 75–78.Google Scholar