Abstract. The multidimensional generalization of the Lupas--Ostrowski inequality, bounding the Chebyshev functional for the functions whose derivatives are square integrable, is given.
AMS Subject Classification
(1991): 26D15
Keyword(s):
The Chebyshev functional,
the Fourier expansion,
square integrable functions,
locally absolutely continuous functions
Received January 26, 2004. (Registered under 5908/2009.)
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