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

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-sided hardy-type inequalities for monotone functionsWe consider Hardy-type operators on the cones of monotone functions with general positive 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.

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.

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

Ando's inequality for uniform submajorization© 2020 Elsevier Inc. We discuss Ando's inequality involving operator monotone functions

Descent method for monotone mixed variational inequalities to these problems. We use uniformly monotone auxiliary functions for constructing regularized problems and apply

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