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Weighted Hardy type inequalities for supremum operators on the cones of monotone functions on the cones of monotone functions for all 0 < p, r≤ ∞ is given. © 2016, Persson et al.

Positive semicharacters of Lie semigroups. These semicharacters are important for positive representations of S in Hilbert space and for completely monotonic

Generalized Volterra functions, its integral representations and applications to the Mathieu-type series function to prove its complete monotonicity

Reduction theorems for weighted integral inequalities on the cone of monotone functions operators in weighted Lebesgue spaces on the real semi-axis and valid on the cone of monotone functions

Limitwise Monotonic Spectra and Their GeneralizationsThe current work studies the limitwise monotonic spectra introduced by Downey, Kach and Turetsky [6

Calculations of Norms for Monotone Operators on Cones of Functions with Monotonicity Properties for monotone operators on the cones of functions with monotonicity properties. We implement a general approach

Limitwise monotonic reducibility on sets and on pairs of sets© 2016, Allerton Press, Inc.We study limitwise monotonic sets and pairs of sets. We investigate

Maximality and minimality under limitwise monotonic reducibilityMaximality and minimality under limitwise monotonic reducibility

Strongly η-representable degrees and limitwise monotonic functions for some 0′-limitwise monotonic function pseudoincreasing on ℚ. Thus we obtain a description of strongly η

Three-weighted Hardy-type inequality on the cone of quasi-monotone functionsThree-weighted Hardy-type inequalities are investigated on a set of functions possessing monotony

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