New proof of two theorems concerning tauberian reduction of integrals
New results in discrete asymptotic analysis.
New results in extremal problems with polynomials.
New retarded integral inequalities with applications.
New strengthened Carleman's inequality and Hardy's inequality.
New types of continuities.
New upper and lower bounds for the Čebyšev functional.
New upper bounds for Mathieu-type series.
New variants of Khintchine's inequality.
Variants of Khintchine's inequality with coefficients depending on the vector dimension are proved. Equality is attained for different types of extremal vectors. The Schur convexity of certain attached functions and direct estimates in terms of the Haagerup type of functions are also used.
New weighted multivariate Grüss type inequalities.
New weighted Poincaré-type inequalities for differential forms.
Newer applications of generalized monotone sequences.
Newton-like algorithms for kth root calculation
Newton's inequalities for families of complex numbers.
Nonabsolutely convergent series
Assume that for any from an interval a real number is given. Summarizing all these numbers is no problem in case of an absolutely convergent series . The paper gives a rule how to summarize a series of this type which is not absolutely convergent, using a theory of generalized Perron (or Kurzweil) integral.
Non-archimedean monotone functions
Non-Baire unions in category bases.
Non-compact lamination convex hulls
Nonconvex Lipschitz function in plane which is locally convex outside a discontinuum
We construct a Lipschitz function on which is locally convex on the complement of some totally disconnected compact set but not convex. Existence of such function disproves a theorem that appeared in a paper by L. Pasqualini and was also cited by other authors.
Nondifferentiable functions, Haar null sets and Wiener measure