A GENERAL CONVERGENCE THEOREM FOR NONLINEAR INTEGRAL OPERATORS

1995 ◽  
Vol 21 (1) ◽  
pp. 88
Author(s):  
Bardaro ◽  
Musielak ◽  
Vinti
Keyword(s):  
Convergence Theorem ◽  
Integral Operators ◽  
Nonlinear Integral Operators ◽  
General Convergence

Quadratic transformations: a model for population growth. II

1970 ◽  
Vol 2 (02) ◽  
pp. 179-228 ◽  
Author(s):  
Harry Kesten
Keyword(s):  
Population Growth ◽  
Convergence Theorem ◽  
Conditional Expectation ◽  
High Probability ◽  
Random Variables ◽  
Convergence Results ◽  
General Convergence

In this last part theFn(i) andMn(i) are considered as random variables whose distributions are described by the model and various mating rules of Section 2. Several convergence results will be proved for those specific mating rules, but we begin with the more general convergence theorem 6.1. The proof of this theorem brings out the basic idea of this section, namely that whenFnandMnare large,Fn + 1(i) andMn + 1(i) will, with high probability, be close to a certain function ofFn(·) andMn(·) (roughly the conditional expectation ofFn+1(i) andMn + 1(i) givenFn(·) andMn(·)).

scholarly journals A Class of Nonlinear Integral Operators Preserving Double Subordinations

2008 ◽  
Vol 2008 ◽  
pp. 1-10 ◽  
Author(s):  
Oh Sang Kwon ◽  
Nak Eun Cho
Keyword(s):  
Unit Disk ◽  
Meromorphic Functions ◽  
Type Theorem ◽  
Integral Operators ◽  
Open Unit ◽  
Open Unit Disk ◽  
Sandwich Type ◽  
Space Of Meromorphic Functions ◽  
Nonlinear Integral Operators

The purpose of the present paper is to investigate some subordination- and superordination-preserving properties of certain integral operators defined on the space of meromorphic functions in the punctured open unit disk. The sandwich-type theorem for these integral operators is also considered.

Sign in / Sign up

Export Citation Format

Share Document