Möbius Disjointness for a Class of Exponential Functions

New inequalities for a class of differentiable functions

In this paper, we use the Riemann-Liouville fractionalintegrals to establish some new integral inequalities related toChebyshev's functional in the case of two differentiable functions.

Computing analytic matrix functions for a class of exponential integrators

Different methods for numerically stable computation of functions which are closely related to the exponential function are discussed. Such functions appear in the format of the most often used exponential integrators. A generalization of the method base on the tridiagonal reduction is proposed. The new approach, allows to compute all the functions included in the format of a general exponentia...

Automatic acquisition of class disjointness

Although it is widely acknowledged that adding class disjointness to ontologies enables a wide range of interesting applications, this type of axiom is rarely used on today’s Semantic Web. This is due to the enormous skill and effort required to make the necessary modeling decisions. Automatically generating disjointness axioms could lower the barrier of entry and lead to a wider spread adoptio...

EXPONENTIAL MAP OF A CLASS OF TOP SPACES

Sufficient Conditions for a New Class of Polynomial Analytic Functions of Reciprocal Order alpha

In this paper, we consider a new class of analytic functions in the unit disk using polynomials of order alpha. We give some sufficient conditions for functions belonging to this class.