Lech Maligranda
Abstract
We give characterizations of weights for which reverse inequalities of theH¨oldertype for monotone functions are satisfied. Our inequalities with general weightsand with sharp constants complement the results of [2], [6], [7] and [14], [15]for the values of parameters 0 < p ≤ q < ∞.
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We give characterizations of weights for which reverse inequalities of theH¨oldertype for monotone functions are satisfied. Our inequalities with general weightsand with sharp constants complement the results of [2], [6], [7] and [14], [15]for the values of parameters 0 < p ≤ q < ∞.
Key concepts: Mathematics, Monotone polygon, Complement (music), Inequality, Pure mathematics, Type (biology), Combinatorics, Discrete mathematics