A new simple proof for an inequality of Chebyshev type.
A new theorem on exponential stability of periodic evolution families on Banach spaces.
A new type of stable generalized convex functions.
A new upper bound of the logarithmic mean.
A non absolutely convergent integral which admits transformation and can be used for integration on manifolds
A non-absolutely convergent integral in and the theorem of Gauss
A non-absolutely convergent integral which admits -transformations
A non-archimedean “curve integral” and its application to the construction of potentials and solutions of differential equations
A non-commutative sewing lemma.
A nonexistence result for the Kurzweil integral
It is shown that there exist a continuous function and a regulated function defined on the interval such that vanishes everywhere except for a countable set, and the -integral of with respect to does not exist. The problem was motivated by extensions of evolution variational inequalities to the space of regulated functions.
A nonlinear Banach-Steinhaus theorem and some meager sets in Banach spaces
We establish a Banach-Steinhaus type theorem for nonlinear functionals of several variables. As an application, we obtain extensions of the recent results of Balcerzak and Wachowicz on some meager subsets of L¹(μ) × L¹(μ) and c₀ × c₀. As another consequence, we get a Banach-Mazurkiewicz type theorem on some residual subset of C[0,1] involving Kharazishvili's notion of Φ-derivative.
A nonlinear inequality arising in geometry and Calabi-Bernstein type problems.
A nonstandard analysis characterization of Arzela's quasi-uniform convergence for sequences of real functions
A nonstandard characterization of regular surfaces.
A nonstandard-analysis characterization of submanifolds in Euclidean space.
A note about the almost continuity
A note concerning a paper by L. E. Snyder
A note on a general difference-functional equation.
A note on a paper by S. Haber.
A note on a paper of H. Alzer and S. Koumandos.