A note on some new refinements of Jensen's inequality for convex functions.
A note on strong pseudoconvexity
A strongly pseudoconvex function is generalized to non-smooth settings. A complete characterization of the strongly pseudoconvex radially lower semicontinuous functions is obtained.
A note on symmetrically continuous functions
A note on the difference property.
A note on the Gini means.
A note on the GP-integral
A note on the Hölder inequality.
A note on the integral inequalities with two dependent limits.
A note on the magnitude of Walsh Fourier coefficients.
A Note on the Men'shov-Rademacher Inequality
We improve the constants in the Men’shov-Rademacher inequality by showing that for n ≥ 64, for all orthogonal random variables X₁,..., Xₙ such that .
A note on the perturbed trapezoid inequality.
A note on the Poincaré inequality
The Poincaré inequality is extended to uniformly doubling metric-measure spaces which satisfy a version of the triangle comparison property. The proof is based on a generalization of the change of variables formula.
A note on the scalar Haffian.
In this note a uniform transparent presentation of the scalar Haffian will be given. Some well-known results will be generalized. A link will be established between the scalar Haffian and the derivative matrix as developed by Magnus and Neudecker.
A note on the three-segment problem
We improve a theorem of C. L. Belna (1972) which concerns boundary behaviour of complex-valued functions in the open upper half-plane and gives a partial answer to the (still open) three-segment problem.
A note on the upper bounds for the dispersion.
A note on topological -posets of fuzzy sets.
A note on unimodal mappings with infinitely many attractors
A note on weighted identric and logarithmic means.
A numerical radius inequality and an estimate for the numerical radius of the Frobenius companion matrix
It is shown that if A is a bounded linear operator on a complex Hilbert space, then , where w(A) and ||A|| are the numerical radius and the usual operator norm of A, respectively. An application of this inequality is given to obtain a new estimate for the numerical radius of the Frobenius companion matrix. Bounds for the zeros of polynomials are also given.
A numerical solution using an adaptively preconditioned Lanczos method for a class of linear systems related with the fractional Poisson equation.