Generalized Taylor’s formula

2007 ◽  
Vol 186 (1) ◽  
pp. 286-293 ◽  
Author(s):  
Zaid M. Odibat ◽  
Nabil T. Shawagfeh
Keyword(s):  
Taylor’S Formula ◽  
Generalized Taylor’S Formula ◽  
Taylor's Formula

ON THE FRACTIONAL MEAN-VALUE THEOREM

2012 ◽  
Vol 22 (05) ◽  
pp. 1250104 ◽  
Author(s):  
PENG GUO ◽  
CHANGPIN LI ◽  
GUANRONG CHEN
Keyword(s):  
Mean Value ◽  
Mean Value Theorem ◽  
Taylor’S Formula ◽  
New Formulation ◽  
Generalized Taylor’S Formula ◽  
Taylor's Formula

In this paper, we derive a fractional mean-value theorem both in the sense of Riemann–Liouville and in the sense of Caputo. This new formulation is more general than the generalized Taylor's formula of Kolwankar and the fractional mean-value theorem in the sense of Riemann–Liouville developed by Trujillo.

scholarly journals On Some Estimates of the Remainder in Taylor's Formula

2001 ◽  
Vol 263 (1) ◽  
pp. 246-263 ◽  
Author(s):  
G.A. Anastassiou ◽  
S.S. Dragomir
Keyword(s):  
Taylor’S Formula ◽  
Taylor's Formula
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