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The Weighted Hardy Operators and Quasi-monotone Functions these inequalities for weighted Hardy operators with quasi-monotone functions. Moreover some
new integral weighted
Positive semicharacters of Lie semigroups. These semicharacters are important for positive representations of S in Hilbert space and
for completely monotonic
On two-weight inequalities for Hausdorff operators of special kind in Lebesgue spacesIn this paper, we establish necessary and sufficient conditions on monotone weight functions
Covering of nonlinear maps on a cone in neighborhoods of irregular pointsInverse function theorems for smooth nonlinear maps defined on convex cones in Banach spaces in a
Descent method for monotone mixed variational inequalities to these problems. We use uniformly monotone auxiliary functions for constructing regularized problems and apply
The cone of rearrangements for generalized Bessel potentials is considered. An equivalent description of the cone of decreasing rearrangements is proposed for functions from
Nonnegativity of quadratic forms on intersections of quadrics and quadratic mapsThe question of the nonnegativity of quadratic forms on intersections of quadratic cones
Inequalities for Hardy type operators on the cone of decreasing functions from a weighted Orlicz space of Hardy type operators on the cone of positive functions, and also on the cone Omega of positive
Generalized Volterra functions, its integral representations and applications to the Mathieu-type series function to prove its complete monotonicity
On monotonicity of ratios of some q-hypergeometric functions)] and [S.M. Sitnik, Conjectures on Monotonicity of Ratios of Kummer and Gauss Hypergeometric Functions
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