论文信息 - An integral expansion for analytic functions based upon the remainder values of the Taylor series expansions

An integral expansion for analytic functions based upon the remainder values of the Taylor series expansions

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.

Hari M. Srivastava | Mohammad Masjed-Jamei | H. Srivastava | M. Masjed‐Jamei

[1] Suheil A. Khuri,et al. On the modified Taylor's approximation for the solution of linear and nonlinear equations , 2005, Appl. Math. Comput..

[2] Gerhard Schmeisser,et al. Multivariate approximation by a combination of modified Taylor polynomials , 2006 .

[3] Mehmet Sezer,et al. A Taylor polynomial approach for solving differential-difference equations , 2006 .

[4] Modified Taylor approximation of functions with periodic behaviour , 2001 .

[5] Bahman Kalantari,et al. Generalization of Taylor's theorem and Newton's method via a new family of determinantal interpolation formulas and its applications , 2000 .