Journal of Mathematical Analysis and Applications
نویسندگان
چکیده
منابع مشابه
The Australian Journal of Mathematical Analysis and Applications
The norm defined by Busemann’s inequality establishes a class of star body intersection body. This class of star body plays a key role in the solution of Busemann-Petty problem. In 2003, Giannapoulos [1] defined a norm for a new class of half-section. Based on this norm, we give a geometric generalization of Busemann-Petty problem, and get its answer as a result.
متن کاملThe Australian Journal of Mathematical Analysis and Applications
ABSTRACT. Shape diagrams are representations in the Euclidean plane introduced to study 3dimensional and 2-dimensional compact convex sets. Such a set is represented by a point within a shape diagram whose coordinates are morphometrical functionals defined as normalized ratios of geometrical functionals. Classically, the geometrical functionals are the area, the perimeter, the radii of the insc...
متن کاملThe Australian Journal of Mathematical Analysis and Applications
We show that generalizations of some (classical) results on the Hyers-Ulam stability of functional equations, in several variables, can be very easily derived from a simple result on stability of a functional equation in single variable.
متن کاملThe Australian Journal of Mathematical Analysis and Applications
This paper deals with nonsmooth nonlinear complementarity problem, where the underlying functions are nonsmooth which admit the H-differentiability but not necessarily locally Lipschitzian or directionally differentiable. We consider a reformulation of the nonlinear complementarity problem as an unconstrained minimization problem. We describe Hdifferentials of the associated penalized Fischer-B...
متن کاملThe Australian Journal of Mathematical Analysis and Applications
A method for the solution of fractional transport equation in three-dimensional case by using Walsh function is presented. The main characteristic of this technique is that it reduces these problems to those of solving a system of algebraic equations, thus greatly simplifying the problem.
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ژورنال
عنوان ژورنال: Zeitschrift für angewandte Mathematik und Physik ZAMP
سال: 1960
ISSN: 0044-2275,1420-9039
DOI: 10.1007/bf01604503