Bentham is offering subject-based scholarly content collections which are tailored to meet specific research needs. Researchers can access related articles from current and back volumes by purchasing access to these collections. Subscribers will also have access to new articles as soon as they are published and added to these collections. With new articles being added to these collections on a daily basis, the collections serve as an ideal tool to keep researchers updated with new developments in the respective fields.
Author(s): Carlos Polanco *
Pp: 116-124 (9)
DOI: 10.2174/9789811465123120010014
* (Excluding Mailing and Handling)
This chapter reviews two operators the sequence of functions (ƒκ) and the series of functions Σnκ=1ƒκ In both cases, we will see the concepts of uniform and pointwise convergence to the function they converge and the persistence of the properties these functions have with respect to the function ƒ they converge to.
Keywords: Differentiation, Monotonicity, Periodic points, Pointwise convergence, Semi-continuous functions, Sequences of functions, Series of functions, Uniform convergence, Uniform limit theorem.
Cite this chapter as:
Sequences and Series of Functions, Differential and Integral Calculus Theory and Cases (2020) 1: 116. https://doi.org/10.2174/9789811465123120010014
Boundary Element Methods for Heat Transfer with Phase Change Problems: Theory and Application
On Generalized Growth rates of Integer Translated Entire and Meromorphic Functions
Introductory Statistics
Advanced Mathematical Applications in Data Science
Advanced Calculus - Fundamentals of Mathematics
Advanced Numerical Methods for Complex Environmental Models: Needs and Availability
Advances in Time Series Forecasting
Current Developments in Mathematical Sciences
