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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

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

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

Inequalities for Hardy-type operators on the cone of decreasing functions in a weighted Orlicz space of positive functions and on the cone of positive decreasing functions with common weight and common Young

Implicit-function theorem on the cone in a neighborhood of an irregular pointImplicit-function theorem on the cone in a neighborhood of an irregular point

To the theory of operator monotone and operator convex functionsWe prove that a real function is operator monotone (operator convex) if the corresponding

Optimal Banach function space for the given cone of decreasing functions from weighted Lp-spaceOptimal Banach function space for the given cone of decreasing functions from weighted Lp-space

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