Norm estimates are developed between the Bochner integral of a vector-valued function in Banach spaces having the Radon-Nikodym property and the convex combination of function values taken on a division of the interval []

In this paper, some reverses of the Cauchy-Bunyakovsky-Schwarz inequality in 2-inner product spaces are given. Using this framework, some applications for determinantal integral inequalities are also provided

We show that it is decidable for any deterministic bottom-up tree transducer and ground term rewrite system , which one of Conditions (i)-(iv) holds. (i) , (ii) , (iii) , (iv) and are incomparable. Here is the tree transformation induced by , and is the congruence generated by

Consider the superdiffusion corresponding to the semilinear operator + − on ℝ. In [ET 2002], the existence of the random measurewas shown under appropriate spectral theoretical assumptions. In the same paper we asked whether the probability of having a zero limit is the same as the...

A basic analysis of the fundamental aspects of entropy in thermodynamics is given, and the results obtained are compared to the standard formulations founded on the Gibbsian open system state functions. The variance of the two approaches are discussed. Some rigorous theorems are deduced which...

We propose a unified model of electromagnetism and gravitation in the framework of General Geometry. It reproduces Electromagnetism and Gravitation and predicts that electromagnetic field is a source for gravitational field. This theory is formulated in four dimensional spacetime and does not...

Reverses of Schwarz, triangle and Bessel inequalities in inner product spaces that improve some earlier results are pointed out. They are applied to obtain new Grüss type inequalities in inner product spaces. Some natural applications for integral inequalities are also pointed out

Two methods in approximating the fiber refractive index profile that have been recently obtained are reviewed. Two new methods based on the approximation of Stieltjes integral via mid-point and trapezoidal rule are also examined

Tree-based methods can be used to generate rules for prognostic classification of patients that are expressed as logical combinations of covariate values. Several splitting algorithms have been proposed for generating trees from survival data. However, the choice of an appropriate algorithm is...