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Abstract
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International Journal of Mathematics and Mathematical Sciences
Volume 18 (1995), Issue 3, Pages 443-446
doi:10.1155/S016117129500055X

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

Sorin Gheorghe Gal

Department of Mathematics, University of Oradea, Str. Armatei Romane 5, Oradea 3700, Romania

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.