On some interpolating inequalities.
On some isometric spaces of and .
On some iterated means arising in homogenization theory
We consider iteration of arithmetic and power means and discuss methods for determining their limit. These means appear naturally in connection with some problems in homogenization theory.
On some iteration semigroups
Let be a disjoint iteration semigroup of diffeomorphisms mapping a real open interval onto . It is proved that if has a dense orbit possesing a subset of the second category with the Baire property, then for some diffeomorphism of onto the set of all reals . The paper generalizes some results of J.A.Baker and G.Blanton [3].
On some Marcus problem concerning functions possessing the derivative at points of discontinuity only
On some Mercerian theorems.
On some new fractional integral inequalities.
On some new generalizations of Ostrowski integral inequality.
On some new impulsive integral inequalities.
On some new mean value inequalities.
On some new N-independent-variable discrete inequalities of the Gronwall type.
On some new nonlinear discrete inequalities and their applications.
On some new nonlinear retarded integral inequalities.
On some new properties of the Cantor set
On some new retard integral inequalities in independent variables and their applications.
On some noetherian rings of germs on a real closed field
Let R be a real closed field, and denote by the ring of germs, at the origin of Rⁿ, of functions in a neighborhood of 0 ∈ Rⁿ. For each n ∈ ℕ, we construct a quasianalytic subring with some natural properties. We prove that, for each n ∈ ℕ, is a noetherian ring and if R = ℝ (the field of real numbers), then , where ₙ is the ring of germs, at the origin of ℝⁿ, of real analytic functions. Finally, we prove the Real Nullstellensatz and solve Hilbert’s 17th Problem for the ring .
On some polynomial-like inequalities of Brenner and Alzer.
On some properties of convex sequences
On Some Properties of Functions of Generalized Variation.
On some properties of functions relative to the classes of certain factor spaces