Results 71 to 80 of about 31,275 (174)

Norm Estimates for Remainders of Noncommutative Taylor Approximations for Laplace Transformers Defined by Hyperaccretive Operators

Mathematics
Let H be a separable complex Hilbert space, B(H) the algebra of bounded linear operators on H, μ a finite Borel measure on R+ with the finite (n+1)-th moment, f(z):=∫R+e−tzdμ(t) for all ℜz⩾0,CΨ(H), and ||·||Ψ the ideal of compact operators and the norm ...
Danko R. Jocić
doaj   +1 more source

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

Mathematical Inequalities & Applications, 2002
\textit{M. Matić, J. Pečarić} and \textit{N. Ujević} [Math. Inequal. Appl. 2, 343-361 (1999; Zbl 0933.26013)] obtained a generalized Taylor formula (in terms of a harmonic sequence of polynomials) and an estimation of the corresponding remainder. The author proves an inequality of Grüss type and uses it in order to improve estimations from the above ...
openaire   +1 more source

Evaluation of Multivariate Integrals via Fluctuationlessness Theorem and Taylor's Remainder

, 2009
A recently developed Fluctuationlessness Method is used in approximating the multiple remainder terms of the integral of the multivariate Taylor expansion.

core  

Border Basis of an Ideal of Points and its Application in Experimental Design and Regression

پژوهش‌های ریاضی, 2020
Introduction Border bases are a generalization of Gröbner bases for zero-dimensional ideals which have attracted the interest of many researchers recently. More precisely, border bases provide a new method to find a structurally stable monomial basis for
Samira Poukhajouei, Sare Goli, Amir Hashemi   +2 more
doaj  

Taylor Series Based Integration with the Fluctuation Freely Approximated Remainder over Gauss Wave Type Basis Functions

, 2012
Fluctuation free integration has recently appeared to be an efficient way to approximate the definite integral of a function and permits us to use various basis set functions in calculations.

core   +1 more source

Lagrange\u27s Interpolation, Chinese Remainder, and Linear Equations

, 2019
Consider a finite set of points {(x1, y1), (x2, y2), . . . , (xk , yk )} in R2. The Lagrange’s interpolation problem is to find a polynomial p(x) of degree k − 1 satisfying p(xi) = yi for 1 ≤ i ≤ k.
Jiménez, Jesús
core  

On Ostrowski Like Integral Inequality for the Čebyšev Difference and Applications

, 2002
Some integral inequalities similar to the Ostrowski’s result for Čebyšev’s difference and applications for perturbed generalized Taylor’s formula are ...
Dragomir, Sever S
core  

Interpolation remainder theory from taylor expansions with non-rectangular domains of influence

, 1972
Sobolev norm error bounds are derived for interpolation remainders on triangles using two types of Taylor expansion. These bounds are applied to the finite element analysis of Poisson's equation on a triangulation of a polygonal ...
Gregory, JA, Barnhill, RE
core  

The multivariate Faa di Bruno formula and multivariate Taylor expansions with explicit integral remainder term [PDF]

, 2007
Copyright © Australian Mathematical Society This paper is made available with the permission of the Australian Mathematical Society Inc.The Faà di Bruno formulae for higher-order derivatives of a composite function are important in analysis for a variety
Leipnik, R., Pearce, C.
core  

UNIVARIATE APPROXIMATE INTEGRATION VIA NESTED TAYLOR MULTIVARIATE FUNCTION DECOMPOSITION

, 2014
This work is based on the idea of nesting one or more Taylor decompositions in the remainder term of a Taylor decomposition of a function. This provides us with a better approximation quality to the original function.
GÜRVİT, ERCAN
core   +1 more source