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
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