On new estimation of the remainder in generalized Taylor's formula

Mathematical Inequalities & Applications ◽

10.7153/mia-02-31 ◽

1999 ◽

pp. 343-361 ◽

Cited By ~ 4

Author(s):

M. Matić ◽

Josip Pečarić ◽

Nenad Ujević

Keyword(s):

Taylor’S Formula ◽

Generalized Taylor’S Formula ◽

Taylor's Formula

Generalized Taylor’s Formula for Polynomials

Quantum Calculus - Universitext ◽

10.1007/978-1-4613-0071-7_2 ◽

2002 ◽

pp. 5-6

Author(s):

Victor Kac ◽

Pokman Cheung

Keyword(s):

Taylor’S Formula ◽

Generalized Taylor’S Formula ◽

Taylor's Formula

A general form of the generalized Taylor’s formula with some applications

Applied Mathematics and Computation ◽

10.1016/j.amc.2015.01.034 ◽

2015 ◽

Vol 256 ◽

pp. 851-859 ◽

Cited By ~ 27

Author(s):

Ahmad El-Ajou ◽

Omar Abu Arqub ◽

Mohammed Al-Smadi

Keyword(s):

Taylor’S Formula ◽

Generalized Taylor’S Formula ◽

Taylor's Formula

A Generalized Taylor's Formula for Functions of Several Variables and Certain of its Applications

10.1201/9780429333033 ◽

2021 ◽

Author(s):

J A Riestra

Keyword(s):

Taylor’S Formula ◽

Several Variables ◽

Generalized Taylor’S Formula ◽

Taylor's Formula

ON THE FRACTIONAL MEAN-VALUE THEOREM

International Journal of Bifurcation and Chaos ◽

10.1142/s0218127412501040 ◽

2012 ◽

Vol 22 (05) ◽

pp. 1250104 ◽

Cited By ~ 3

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.

A novel method for nonlinear fractional partial differential equations: Combination of DTM and generalized Taylor's formula

Journal of Computational and Applied Mathematics ◽

10.1016/j.cam.2007.07.033 ◽

2008 ◽

Vol 220 (1-2) ◽

pp. 85-95 ◽

Cited By ~ 94

Author(s):

Shaher Momani ◽

Zaid Odibat

Keyword(s):

Partial Differential Equations ◽

Differential Equations ◽

Fractional Partial Differential Equations ◽

Partial Differential ◽

Taylor’S Formula ◽

Novel Method ◽

Generalized Taylor’S Formula ◽

Taylor's Formula

Improvement of some estimations related to the remainder in generalized Taylor's formula

Mathematical Inequalities & Applications ◽

10.7153/mia-05-65 ◽

2002 ◽

pp. 637-648

Author(s):

M. Matić

Keyword(s):

Taylor’S Formula ◽

Generalized Taylor’S Formula ◽

Taylor's Formula

Bivariate Generalized Taylor’s Formula and Its Applications to Solve FPDEs

International Journal of Applied and Computational Mathematics ◽

10.1007/s40819-020-00929-9 ◽

2020 ◽

Vol 7 (1) ◽

Author(s):

Ameneh Manouchehrian ◽

Ahmad HaghBin ◽

Hossein Jafari

Keyword(s):

Taylor’S Formula ◽

Generalized Taylor’S Formula ◽

Taylor's Formula

Generalized Taylor’s formula

Applied Mathematics and Computation ◽

10.1016/j.amc.2006.07.102 ◽

2007 ◽

Vol 186 (1) ◽

pp. 286-293 ◽

Cited By ~ 221

Author(s):

Zaid M. Odibat ◽

Nabil T. Shawagfeh

Keyword(s):

Taylor’S Formula ◽

Generalized Taylor’S Formula ◽

Taylor's Formula

On a Riemann–Liouville Generalized Taylor's Formula

Journal of Mathematical Analysis and Applications ◽

10.1006/jmaa.1998.6224 ◽

1999 ◽

Vol 231 (1) ◽

pp. 255-265 ◽

Cited By ~ 71

Author(s):

J.J. Trujillo ◽

M. Rivero ◽

B. Bonilla

Keyword(s):

Taylor’S Formula ◽

Generalized Taylor’S Formula ◽

Taylor's Formula

On Some Estimates of the Remainder in Taylor's Formula

Journal of Mathematical Analysis and Applications ◽

10.1006/jmaa.2001.7622 ◽

2001 ◽

Vol 263 (1) ◽

pp. 246-263 ◽

Cited By ~ 18

Author(s):

G.A. Anastassiou ◽

S.S. Dragomir

Keyword(s):

Taylor’S Formula ◽

Taylor's Formula