Properties of the modulus of continuity for monotonous convex functions and applications

Sorin Gheorghe Gal

International Journal of Mathematics and Mathematical Sciences, 1995, vol. 18, 1-4

Abstract:

For a monotone convex function f ∈ C [ a , b ] we prove that the modulus of continuity w ( f ; h ) is concave on [ a , b ] as function of h . Applications to approximation theory are obtained.

Date: 1995
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jijmms:396206

DOI: 10.1155/S016117129500055X

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