The search session has expired. Please query the service again.
The search session has expired. Please query the service again.
The search session has expired. Please query the service again.
The search session has expired. Please query the service again.
The search session has expired. Please query the service again.
The search session has expired. Please query the service again.
The search session has expired. Please query the service again.
The search session has expired. Please query the service again.
The search session has expired. Please query the service again.
Displaying 261 –
280 of
305
Soit un espace de Banach de dual topologique . (resp. ) désigne l’ensemble des parties non vides convexes fermées de (resp. -fermées de ) muni de la topologie de la convergence uniforme sur les bornés des fonctions distances. Cette topologie se réduit à celle de la métrique de Hausdorff sur les convexes fermés bornés [16] et admet en général une représentation en terme de cette dernière [11]. De plus, la métrique qui lui est associée s’est révélée très adéquate pour l’étude quantitative...
Let X be a Banach space and X'
its continuous dual. C(X) (resp. C(X')) denotes the set of nonempty convex closed subsets of X
(resp. ω*-closed subsets of X') endowed with the topology
of uniform convergence of distance functions on bounded sets. This topology
reduces to the Hausdorff metric topology on the closed and bounded convex
sets [16] and in general has a Hausdorff-like presentation [11]. Moreover,
this topology is well suited for estimations and constructive approximations [6-9].
We...
We generalize to the non-separable context a theorem of Levi characterizing Baire analytic spaces. This allows us to prove a joint-continuity result for non-separable normed groups, previously known only in the separable context.
A real function is -density continuous if it is continuous with the -density topology on both the domain and the range. If is analytic, then is -density continuous. There exists a function which is both and convex which is not -density continuous.
In the 1950’s and 1960’s surface physicists/metallurgists such as Herring and Mullins applied ingenious thermodynamic arguments to explain a number of experimentally observed surface phenomena in crystals. These insights permitted the successful engineering of a large number of alloys, where the major mathematical novelty was that the surface response to external stress was anisotropic. By examining step/terrace (vicinal) surface defects it was discovered through lengthy and tedious experiments...
In the 1950's and 1960's surface physicists/metallurgists such as
Herring and Mullins applied ingenious thermodynamic arguments to explain a
number of experimentally observed surface phenomena in crystals. These insights permitted
the successful engineering of a large number of alloys, where the
major mathematical novelty was that the surface response to external stress was anisotropic.
By examining step/terrace (vicinal) surface defects it was discovered through
lengthy and tedious experiments...
For a new Perron-type integral a concept of convergence is introduced such that the limit of a sequence of integrable functions , is integrable and any integrable is the limit of a sequence of stepfunctions , .
Mathematics Subject Classification: 26A33, 93C83, 93C85, 68T40Fractional Calculus (FC) goes back to the beginning of the theory of
differential calculus. Nevertheless, the application of FC just emerged in the
last two decades. In the field of dynamical systems theory some work has
been carried out but the proposed models and algorithms are still in a preliminary
stage of establishment. This article illustrates several applications
of fractional calculus in robot manipulator path planning and control....
The object of the present paper is to illustrate the usefulness, in the theory of analytic functions, of various linear operators which are defined in terms of (for example) fractional derivatives and fractional integrals, Hadamard product or convolution, and so on.
2000 Mathematics Subject Classification: Primary 30C45, 26A33; Secondary 33C15By making use of the fractional differential operator Ω^λz (0 ≤ λ < 1) due
to Owa and Srivastava, a new subclass of univalent functions denoted by
k−SPλ (0 ≤ k < ∞) is introduced. The class k−SPλ unifies the concepts of
k-uniformly convex functions and k-starlike functions. Certain basic
properties of k − SPλ such as inclusion theorem, subordination theorem, growth
theorem and class preserving transforms are studied.*...
Let n be a nonnegative integer and let u ∈ (n,n+1]. We say that f is u-times Peano bounded in the approximate (resp. , 1 ≤ p ≤ ∞) sense at if there are numbers , |α| ≤ n, such that is in the approximate (resp. ) sense as h → 0. Suppose f is u-times Peano bounded in either the approximate or sense at each point of a bounded measurable set E. Then for every ε > 0 there is a perfect set Π ⊂ E and a smooth function g such that the Lebesgue measure of E∖Π is less than ε and f = g on Π....
Currently displaying 261 –
280 of
305