Lech Maligranda
Abstract
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<∞.
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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<∞.
Key concepts: Monotone polygon, Complement (music), Mathematics, Inequality, Pure mathematics, Type (biology), Monotonic function, Combinatorics