A+ CATEGORY SCIENTIFIC UNIT

Weighted inequalities for monotone and concave functions

Volume 116 / 1995

Hans Heinig, Studia Mathematica 116 (1995), 133-165 DOI: 10.4064/sm-116-2-133-165

Abstract

Characterizations of weight functions are given for which integral inequalities of monotone and concave functions are satisfied. The constants in these inequalities are sharp and in the case of concave functions, constitute weighted forms of Favard-Berwald inequalities on finite and infinite intervals. Related inequalities, some of Hardy type, are also given.

Authors

  • Hans Heinig

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