Globale und lokale Erzeugendenanzahl im Reellen.
Goniometrické funkce v elementární matematice [Book]
Good Decomposition in the Class of Convex Functions of Higher Order
Good lower and upper bounds on binomial coefficients.
Graded sets, points and numbers.
The basic tool considered in this paper is the so-called graded set, defined on the analogy of the family of α-cuts of a fuzzy set. It is also considered the corresponding extensions of the concepts of a point and of a real number (again on the analogy of the fuzzy case). These new graded concepts avoid the disadvantages pointed out by Gerla (for the fuzzy points) and by Kaleva and Seikkala (for the convergence of sequences of fuzzy numbers).
Green's ...-relation and climbing mountains.
Green's theorem from the viewpoint of applications
Making use of a line integral defined without use of the partition of unity, Green’s theorem is proved in the case of two-dimensional domains with a Lipschitz-continuous boundary for functions belonging to the Sobolev spaces
Gronwall-Bellman-type integral inequalities and applications to BVPs.
Gronwall-OuIang-type integral inequalities on time scales.
Growth orders occurring in expansions of Hardy-field solutions of algebraic differential equations
Growth orders occurring in expansions of Hardy-field solutions of algebraic differential equations
We consider the asymptotic growth of Hardy-field solutions of algebraic differential equations, e.g. solutions with no oscillatory component, and prove that no ‘sub-term’ occurring in a nested expansion of such can tend to zero more rapidly than a fixed rate depending on the order of the differential equation. We also consider series expansions. An example of the results obtained may be stated as follows.Let be an element of a Hardy field which has an asymptotic series expansion in , and ,...
Grünbaum-type inequalities for special functions.
Grundlagen für eine Theorie der Functionen einer veränderlichen rellen Grösse [Book]
Grüss type inequalities for forward difference of vectors in inner product spaces.
Grüss-type bounds for covariances and the notion of quadrant dependence in expectation
We show that Grüss-type probabilistic inequalities for covariances can be considerably sharpened when the underlying random variables are quadrant dependent in expectation (QDE). The herein established covariance bounds not only sharpen the classical Grüss inequality but also improve upon recently derived Grüss-type bounds under the assumption of quadrant dependency (QD), which is stronger than QDE. We illustrate our general results with examples based on specially devised bivariate distributions...