RT Journal Article
T1 A new type of Taylor series expansion
A1 Masjed-Jamei, Mohammad
A1 Moalemi, Zahra
A1 Area Carracedo, Iván Carlos
A1 Nieto Roig, Juan José
K1 Generalized Taylor expansion
K1 Integration by parts
K1 Integral remainder
K1 Error bound
K1 Jacobi and Laguerre polynomials
AB We present a variant of the classical integration by parts to introduce a new type of Taylor series expansion and to present some closed forms for integrals involving Jacobi and Laguerre polynomials, which cannot be directly obtained by usual symbolic computation programs, i.e., only some very specific values can be computed by the mentioned programs. An error analysis is given in the sequel for the introduced expansion.
PB SpringerOpen
YR 2018
FD 2018-05-15
LK http://hdl.handle.net/10347/19953
UL http://hdl.handle.net/10347/19953
LA eng
NO Masjed-Jamei, M., Moalemi, Z., Area, I., & Nieto, J. (2018). A new type of Taylor series expansion. Journal Of Inequalities And Applications, 2018(1). doi: 10.1186/s13660-018-1709-8
NO The work of the first author has been supported by the Alexander von Humboldt Foundation under the grant number: Ref 3.4–IRN–1128637–GF-E. The third and fourth authors thank for the financial support from the Agencia Estatal de Innovación (AEI) of Spain under grant MTM2016–75140–P, co-financed by the European Community fund FEDER and Xunta de Galicia, grants GRC 2015–004 and R 2016/022
DS Minerva
RD 22 abr 2026