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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
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
Computable Linear Orders and Limitwise Monotonic FunctionsIn this paper, we describe the technique of extremely monotonic functions in the theory
On the optimal embedding of Calderón spaces and of generalized Besov spaces,1), where Omega is the cone of bounded, monotonically decreasing, non-negative functions on Bbb{R}_+, Omega
Weighted monotonicity inequalities for traces on operator algebras and B are self-adjoint elements of the algebra in question, f and w are real-valued functions
Inequalities for the extended positive part of a von Neumann algebra related to operator-monotone and operator-convex functions monotone and operator convex functions onto elements of the extended positive part of a von Neumann algebra
ESTIMATES FOR DECREASING REARRANGEMENTS OF CONVOLUTION AND COVERINGS OF CONES through decreasing rearrangements of kernels and functions to be convolved. These estimates show
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