Trichotomy, stability, and oscillation of a fuzzy difference equation.
Turán-type inequalities for some -special functions.
Turán-type inequalities for some special functions.
Turbulent maps and their ω-limit sets
One-dimensional turbulent maps can be characterized via their ω-limit sets [1]. We give a direct proof of this characterization and get stronger results, which allows us to obtain some other results on ω-limit sets, which previously were difficult to prove.
Two classes of Darboux-like, Baire one functions of two variables
Among the many characterizations of the class of Baire one, Darboux real-valued functions of one real variable, the 1907 characterization of Young and the 1997 characterization of Agronsky, Ceder, and Pearson are particularly intriguing in that they yield interesting classes of functions when interpreted in the two-variable setting. We examine the relationship between these two subclasses of the real-valued Baire one defined on the unit square.
Two constructions of the real numbers via alternating series.
Two convergence theorems for Henstock-Kurzweil integrals and their applications to multiple trigonometric series
We establish two new norm convergence theorems for Henstock-Kurzweil integrals. In particular, we provide a unified approach for extending several results of R. P. Boas and P. Heywood from one-dimensional to multidimensional trigonometric series.
Two inequalities for means.
Two inequalities for series and sums
In this paper we refine an inequality for infinite series due to Astala, Gehring and Hayman, and sharpen and extend a Holder-type inequality due to Daykin and Eliezer.
Two inequalities of simpson type for quasi-convex functions and applications.
Two kinds of chaos and relations between them.
Two large subsets of a functional space.
Two mappings associated with Jensen's inequality.
Two mappings related to Minkowski's inequalities.
Two new algebraic inequalities with variables.
Two new mappings associated with inequalities of Hadamard-type for convex functions.
Two polynomial division inequalities in .
Two Propositions On Slowly Varying Functions
Two separation criteria for second order ordinary or partial differential operators
We generalize a well-known separation condition of Everitt and Giertz to a class of weighted symmetric partial differential operators defined on domains in . Also, for symmetric second-order ordinary differential operators we show that where is a singular point guarantees separation of on its minimal domain and extend this criterion to the partial differential setting. As a particular example it is shown that is separated on its minimal domain if is superharmonic. For the criterion...
Two sharp inequalities for power mean, geometric mean, and harmonic mean.