The Equivalence Relation of Double Limit and Uniform Convergence
Shen Xiao-bin
Abstract
Shen Xiao-bin
Abstract
Under the certain condition,the equivalence relation of double limit and uniform convergence is proved through studying the relation of double limit and iterated limit,uniform convergence and iterated limit.Duality principle of analogy Higher Geometry is given by the(equivalence) relation.Some analytic properties of limit function are studied by it.
A significance statement is not available in the OpenAlex record.
A contribution statement is not available in the OpenAlex record.
Method details are not available in the OpenAlex metadata.
Findings are not separately available in the OpenAlex metadata.
Limitations are not available in the OpenAlex metadata.
Application details are not available in the OpenAlex metadata.
Under the certain condition,the equivalence relation of double limit and uniform convergence is proved through studying the relation of double limit and iterated limit,uniform convergence and iterated limit.Duality principle of analogy Higher Geometry is given by the(equivalence) relation.Some analytic properties of limit function are studied by it.
Key concepts: Mathematics, Limit (mathematics), Iterated function, Equivalence (formal languages), Equivalence relation, Uniform limit theorem, Relation (database), Convergence (economics)