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

DOI10.1016/J.AML.2008.03.030zbMath1198.41016OpenAlexW1982249241MaRDI QIDQ1003885

Mohammad Masjed-Jamei, Hari M. Srivastava

Publication date: 4 March 2009

Published in: Applied Mathematics Letters (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.aml.2008.03.030

zbMATH Keywords

linear functionsTaylor series expansionexpansion of functionsintegral expansionremainder expansion

Mathematics Subject Classification ID

Power series (including lacunary series) in one complex variable (30B10) Series expansions (e.g., Taylor, Lidstone series, but not Fourier series) (41A58) Elementary functions (26A09) One-variable calculus (26A06)

Related Items (2)

On orthogonal polynomials and quadrature rules related to the second kind of beta distribution ⋮ Application of a new integral expansion for solving a class of functional equations

Cites Work

• On the modified Taylor's approximation for the solution of linear and nonlinear equations
• Multivariate approximation by a combination of modified Taylor polynomials
• A Taylor polynomial approach for solving differential-difference equations
• Generalization of Taylor's theorem and Newton's method via a new family of determinantal interpolation formulas and its applications
• Modified Taylor approximation of functions with periodic behaviour
• Unnamed Item

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