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Limitwise Monotonic Reducibility of Sets and Σ-Definability of Abelian Groups© 2019, Allerton Press, Inc. The paper is devoted to the study of limitwise monotonic sets, as well
To the theory of operator monotone and operator convex functionsWe prove that a real function is operator monotone (operator convex) if the corresponding
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
Two-sided hardy-type inequalities for monotone functionsWe consider Hardy-type operators on the cones of monotone functions with general positive σ
Hardy inequality with three measures on monotone functions)(x) =(∫[0,x] fsudλ) 1/s restricted to monotone functions f ≥ 0 for 0 < p.q.s < ∞ with positive Borel σ
Two power-weight inequalities for the Hilbert transform on the cones of monotone functions of monotone functions are characterized in the case 0<p≤q<∞. © 2011 Taylor & Francis.
Limitwise monotonic functions relative to the Kleene’s Ordinal Notation System by the authors for a wider class of linear orders using X-limitwise monotonic functions relative to the Kleene’s
Global continuation of monotone waves for bistable delayed equations with unimodal nonlinearitiesWe study the existence of monotone wavefronts for a general family of bistable reaction
To the theory of operator monotone and operator convex functionsWe prove that a real function is operator monotone (operator convex) if the corresponding
Some integral estimates on the cones of functions with the monotonicity conditionsIn this paper we obtain estimates for the integrals of monotone functions arising in the study
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