We give precise conditions under which the composition of a norm with a convex function yields a uniformly convex function on a Banach space. Various applications are given to functions of power type. The results are dualized to study uniform smoothness and several examples are provided
We prove that the 1-normed product of two Banach spaces is 2-uniformly convex if and only if each f...
Key words and phrases: uniform convexity, uniform smoothness, uniformly noncreasy spaces, fixe
We prove that the 1-normed product of two Banach spaces is 2-uniformly convex if and only if each fa...
Abstract. We study the connection between uniformly convex functions f: X → R bounded above by ‖x‖p,...
Given a Banach space (Χ,∥ · ∥), we study the connection between uniformly convex functions f : Χ → R...
The concept of uniform convexity of a Banach space was gen- eralized to linear operators between Ban...
We show that in any uniformly convex Banach space the functions f(x) = ‖x‖r with r ∈ (1,∞) are tota...
AbstractIn this paper, we define and study some subclasses of analytic functions by using the concep...
AbstractIt is shown that a Banach space with locally uniformly convex dual admits an equivalent norm...
The notions of uniform boundedness and equidistant uniform boundedness of an operator (both weaker t...
Abstract. In this paper we dene a subclass of -uniform convex functions by using the S'al'...
AbstractIn this paper we study uniformly convex functions and uniformly convex functions at a point,...
search Reports A577 (2009). Abstract: We introduce a property of Banach spaces, called uniform conve...
AbstractLet X and Y be Banach spaces and ψ a continuous convex function on the unit interval [0,1] s...
We prove that the 1-normed product of two Banach spaces is 2-uniformly convex if and only if each f...
We prove that the 1-normed product of two Banach spaces is 2-uniformly convex if and only if each f...
Key words and phrases: uniform convexity, uniform smoothness, uniformly noncreasy spaces, fixe
We prove that the 1-normed product of two Banach spaces is 2-uniformly convex if and only if each fa...
Abstract. We study the connection between uniformly convex functions f: X → R bounded above by ‖x‖p,...
Given a Banach space (Χ,∥ · ∥), we study the connection between uniformly convex functions f : Χ → R...
The concept of uniform convexity of a Banach space was gen- eralized to linear operators between Ban...
We show that in any uniformly convex Banach space the functions f(x) = ‖x‖r with r ∈ (1,∞) are tota...
AbstractIn this paper, we define and study some subclasses of analytic functions by using the concep...
AbstractIt is shown that a Banach space with locally uniformly convex dual admits an equivalent norm...
The notions of uniform boundedness and equidistant uniform boundedness of an operator (both weaker t...
Abstract. In this paper we dene a subclass of -uniform convex functions by using the S'al'...
AbstractIn this paper we study uniformly convex functions and uniformly convex functions at a point,...
search Reports A577 (2009). Abstract: We introduce a property of Banach spaces, called uniform conve...
AbstractLet X and Y be Banach spaces and ψ a continuous convex function on the unit interval [0,1] s...
We prove that the 1-normed product of two Banach spaces is 2-uniformly convex if and only if each f...
We prove that the 1-normed product of two Banach spaces is 2-uniformly convex if and only if each f...
Key words and phrases: uniform convexity, uniform smoothness, uniformly noncreasy spaces, fixe
We prove that the 1-normed product of two Banach spaces is 2-uniformly convex if and only if each fa...
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