Construction of Weights for Positive Integral Operators

construction of vector fields with positive lyapunov exponents

in this thesis our aim is to construct vector field in r3 for which the corresponding one-dimensional maps have certain discontinuities. two kinds of vector fields are considered, the first the lorenz vector field, and the second originally introced here. the latter have chaotic behavior and motivate a class of one-parameter families of maps which have positive lyapunov exponents for an open in...

Positive Interpolation Operators with Exponential-Type Weights

Hee Sun Jung and Ryozi Sakai 1 Department of Mathematics Education, Sungkyunkwan University, Seoul 110-745, Republic of Korea 2Department of Mathematics, Meijo University, Nagoya 468-8502, Japan Correspondence should be addressed to Hee Sun Jung; [email protected] Received 26 December 2012; Accepted 7 March 2013 Academic Editor: Roberto Barrio Copyright © 2013 H. S. Jung and R. Sakai. This is an ...

Some concavity properties for general integral operators

Let $C_0(alpha)$ denote the class of concave univalent functions defined in the open unit disk $mathbb{D}$. Each function $f in C_{0}(alpha)$ maps the unit disk $mathbb{D}$ onto the complement of an unbounded convex set. In this paper, we study the mapping properties of this class under integral operators.

The Convergence of Family of Integral Operators with Positive Kernel

some concavity properties for general integral operators

let $c_0(alpha)$ denote the class of concave univalent functions defined in the open unit disk $mathbb{d}$. each function $f in c_{0}(alpha)$ maps the unit disk $mathbb{d}$ onto the complement of an unbounded convex set. in this paper, we study the mapping properties of this class under integral operators.