Integral operators on cones of monotone functionsIntegral operators on cones of
monotone functions EXTENDED GENERALIZED MITTAG-LEFFLER FUNCTION APPLIED ON FRACTIONAL INTEGRAL INEQUALITIES inequalities. To obtain these, an extended generalized Mittag-Leffler
function and its fractional integral
Weighted trace inequalities of monotonicityWe study the inequality Tr(w(A)f(A)) ≤ Tr(w(A)f(B)), where w : ℝ → ℝ+ is a "weight
function" and A
One-parameter monotone functionals connected with Stieltjes integrals that are
monotone as a
function on the parameter. We prove generalizations of some results from the papers:1)Heinig
On monotonicity of ratios of some hypergeometric functionsIn the preprint [1] one of the authors formulated some conjectures on
monotonicity of ratios
Reduction theorems for operators on the cones of monotone functions-type operators on
monotone functions in the case 0<q<p≤1. © 2013 Elsevier Ltd.
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