Reverse convolution inequalities and applications to inverse heat source problems.
Reverse Markov inequality.
Reverse triangle inequality in Hilbert -modules.
Reverse weighted - norm inequalities in convolutions.
Reverses of Schwarz, triangle and Bessel inequalities in inner product spaces.
Reverses of the continuous triangle inequality for Bochner integral of vector-valued functions in Hilbert spaces.
Reverses of the triangle inequality in Banach spaces.
Revisited isoperimetric inequalities for the p-capacity and application to the muskat problem
Riesz potential on the Heisenberg group.
Robust optimality of Gaussian noise stability
We prove that under the Gaussian measure, half-spaces are uniquely the most noise stable sets. We also prove a quantitative version of uniqueness, showing that a set which is almost optimally noise stable must be close to a half-space. This extends a theorem of Borell, who proved the same result but without uniqueness, and it also answers a question of Ledoux, who asked whether it was possible to prove Borell’s theorem using a direct semigroup argument. Our quantitative uniqueness result has various...
S. N. Bernstein type estimations in the mean on the curves in a complex plane.
Schur convexity of generalized Heronian means involving two parameters.
Schur geometric convexity for differences of means.
Schur multiplier characterization of a class of infinite matrices
Let denote the space of infinite matrices for which for all with . We characterize the upper triangular positive matrices from , , by using a special kind of Schur multipliers and the G. Bennett factorization technique. Also some related results are stated and discussed.
Schur-convexity for a class of symmetric functions and its applications.
Schur-convexity of averages of convex functions.
Schur-convexity of the complete elementary symmetric function.
Schur-convexity of two types of one-parameter mean values in variables.
Schur-type inequalities for complex polynomials with no zeros in the unit disk.
Series of positive terms