A New Expansion Formula
-
George A. Anastassiou
ganastss@memphis.edu
Downloads
Abstract
A new Taylor like expansion formula is established. Here the Riemann-Stieltjes integral of a function is expanded into a finite sum form which involves the derivatives of the function evaluated at the right end point of the interval of integration. The error of the approximation is given in an integral form involving the ð‘›th derivative of the function. Implications and applications of the formula follow.
Keywords
Most read articles by the same author(s)
- George A. Anastassiou, Ostrowski-Sugeno fuzzy inequalities , CUBO, A Mathematical Journal: Vol. 21 No. 3 (2019)
- George A. Anastassiou, Poincar´e Type Inequalities for Linear Differential Operators , CUBO, A Mathematical Journal: Vol. 10 No. 3 (2008): CUBO, A Mathematical Journal
- George A. Anastassiou, ð˜²âˆ’ fractional inequalities , CUBO, A Mathematical Journal: Vol. 13 No. 1 (2011): CUBO, A Mathematical Journal
- George A. Anastassiou, Razvan A. Mezei, Uniform convergence with rates of general singular operators , CUBO, A Mathematical Journal: Vol. 15 No. 2 (2013): CUBO, A Mathematical Journal
- George A. Anastassiou, Fuzzy Taylor Formulae , CUBO, A Mathematical Journal: Vol. 7 No. 3 (2005): CUBO, A Mathematical Journal
- George A. Anastassiou, Converse Fractional Opial Inequalities for Several Functions , CUBO, A Mathematical Journal: Vol. 10 No. 1 (2008): CUBO, A Mathematical Journal
- George A. Anastassiou, Univariate right fractional Ostrowski inequalities , CUBO, A Mathematical Journal: Vol. 14 No. 1 (2012): CUBO, A Mathematical Journal
Similar Articles
- Wael Abdelhedi, Minkowski type inequalities for a generalized fractional integral , CUBO, A Mathematical Journal: Vol. 27 No. 1 (2025)
- S. S. Dragomir, Some integral inequalities related to Wirtinger's result for \(p\)-norms , CUBO, A Mathematical Journal: Vol. 23 No. 3 (2021)
- Rubén A. Hidalgo, Una observación sencilla sobre vectores de constantes de Riemann y divisores no-especiales de curvas generalizadas de Fermat , CUBO, A Mathematical Journal: In Press
- M. H. Saleh, S. M. Amer, M. A. Mohamed, N. S. Abdelrhman, Approximate solution of fractional integro-differential equation by Taylor expansion and Legendre wavelets methods , CUBO, A Mathematical Journal: Vol. 15 No. 3 (2013): CUBO, A Mathematical Journal
- T. A. Burton, Bo Zhang, Bounded and periodic solutions of integral equations , CUBO, A Mathematical Journal: Vol. 14 No. 1 (2012): CUBO, A Mathematical Journal
- Razvan A. Mezei, Applications and Lipschitz results of approximation by smooth Picard and Gauss-Weierstrass type singular integrals , CUBO, A Mathematical Journal: Vol. 13 No. 3 (2011): CUBO, A Mathematical Journal
- George A. Anastassiou, ð˜²âˆ’ fractional inequalities , CUBO, A Mathematical Journal: Vol. 13 No. 1 (2011): CUBO, A Mathematical Journal
- George A. Anastassiou, Fuzzy Taylor Formulae , CUBO, A Mathematical Journal: Vol. 7 No. 3 (2005): CUBO, A Mathematical Journal
- S. S. Dragomir, Several inequalities for an integral transform of positive operators in Hilbert spaces with applications , CUBO, A Mathematical Journal: Vol. 25 No. 2 (2023)
- Silvestru Sever Dragomir, Bounds for the generalized \( (\Phi;f) \)-mean difference , CUBO, A Mathematical Journal: Vol. 22 No. 1 (2020)
1 2 3 4 5 6 7 8 9 10 11 12 > >>
You may also start an advanced similarity search for this article.