Title
An integral expansion for analytic functions based upon the remainder values of the Taylor series expansions
Abstract
In this work, by using a special property in the integral representation of the remainder value of the Taylor series expansion, we introduce a new expansion for analytic functions. We also give several interesting consequences of this expansion formula as well as some practical examples in order to illustrate the subject presented here.
Year
DOI
Venue
2009
10.1016/j.aml.2008.03.030
Applied Mathematics Letters
Keywords
Field
DocType
Expansion of functions,Linear functionals,Taylor series expansion,Remainder theorem of the Taylor series expansion,Integral expansions
Linear form,Mathematical analysis,Analytic function,Remainder,Series expansion,Non-analytic smooth function,Asymptotic expansion,Taylor's theorem,Mathematics,Taylor series
Journal
Volume
Issue
ISSN
22
3
0893-9659
Citations 
PageRank 
References 
1
0.48
1
Authors
2
Name
Order
Citations
PageRank
Mohammad Masjed-Jamei1158.03
H.M. Srivastava230876.66