Subscribe to the gold package and get unlimited access to Shamra Academy
Register a new userالدوال الداعمة في فضاء هيلبرت
1450
1 87
0
(
0
)
Added by
Tishreen University ورقة بحثية
Publication date
2016
fields
Mathematics
and research's language is
العربية
Authors
نزار محمد حسن( باحث )
Created by
Shamra Editor
Ask ChatGPT about the research
تعد الدوال الداعمة من الوسائل الهامة والمفيدة عند دراسة مسائل مختلفة في الرياضيات و الفيزياء و العلوم الهندسية، نظرا لامتلاكها الكثيرة من الخصائص و المزايا الحسنة. لهذا سنركز اهتمامنا في هذه الورقة على دراسة و إثبات التكافؤ فيما بين الشروط الثلاث الآتية: (1 دالة محدبة. (2 دالة داعمة. (3 دالة تحت جمعية على كرة الواحدة.
The supporting functions are powerful tools for studying several problems in mathematics and engineering sciences, since they have useful advantages. In this paper, we prove that the following conditions and statements are equivalent: 1. is convex. 2. is supporting 3. is subadditive on the unit sphere.
References used
(ROCKAFELLARR. T.Convex Analysis. Section 13, Princeton, New jersey University Press, (1970) (pp.112-127
(KRIVAN V, Technical note On the Intersection of Contingent Cones, Journal of optimization theory and applications. Vol,70,No.2, (1991
(PRINCE,J. L. and A. S. Willsky, Reconstructing Convex Sets from Support Line Measurements. Vol. 12. No. 4 ,April (1990). (pp. 377-389
rate research
Read More
In this paper, we study the non stationary index ρ of sequences in Hilbert
space H.
Applying the correlation differences matrix of evolutionary representable
sequences we achieved to the necessary and sufficient condition which’s for the
non stat
ionary index is bounded. And according to the Quasi-Hankel sequences
definition we join between these sequences and evolutionary once.
In this research, we have studied the issue of approximation of complex functions from weighted Lebesgue space ; and (Mukenhoupt weight) to rational functions by using p- Faber polynomials on large group of curves, which called Carlson curves. This
is also considered as a follow-up to the work done by researchers: Israfilov and Testici in 2014 , where they studied approximation of functions from weighted Smirnov space on domains with a Carlson curve boundary.
We study in this paper one of functional analysis problems, involved with
construction a new class of functions, denoted by . The definition of the new
class depends on definition of Lebesgueclass of functions and on the Holder clas .
We study the
relation between the new class and approximation of the new class
to rational functions.
This paper presents a certain method to determine the range of varibility
of linear functionals defined in the Caratheodory Class i.e the class of
analytic functions in the unit disk ( z < 1 ) with a positive real part and
f(0)=1.
The aim of this paper is to study and generalize some results that related by the complete continuity of the urysohn.s operator of two variables on a set on which a lebesgue meagure is defined and study uniform convergence sequence of the urysohn .s.
operators that defined by functions using convergence meager Depending on caratheodory condition of measurable sets .
suggested questions
Log in to be able to interact and post comments
comments
Fetching comments
Sign in to be able to follow your search criteria
