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Weighted Inequalities for Quasi‐Monotone Functions
Author(s) -
Maligranda Lech
Publication year - 1998
Publication title -
journal of the london mathematical society
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.441
H-Index - 62
eISSN - 1469-7750
pISSN - 0024-6107
DOI - 10.1112/s0024610798006140
Subject(s) - monotone polygon , complement (music) , mathematics , inequality , pure mathematics , type (biology) , monotonic function , combinatorics , discrete mathematics , mathematical analysis , geometry , ecology , biochemistry , chemistry , complementation , biology , gene , phenotype
The purpose of this paper is to give characterizations of weights for which reverse inequalities of Hölder type for quasi‐monotone functions are satisfied. Our inequalities with general weights and with sharp constants complement the results of [ 2 , 8 , 9 ] and [ 16 , 17 ] for the values of parameters p and q with 1⩽ p ⩽ q <∞.