[PDF] Top 20 Some Error Estimates in the Trapezoidal Quadrature Rule
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Some Error Estimates in the Trapezoidal Quadrature Rule
... In some practical problems the integrand does not have a bounded second de- rivative, and therefore the classical error estimate of the Trapezoidal Rule is not ...derive some ... See full document
10
Trapezoidal Type Rules from an Inequalities Point of View
... Abstract. The article investigates trapezoid type rules and obtains explicit bounds through the use of a Peano kernel approach and the modern theory of inequalities. Both Riemann-Stieltjes and Riemann integrals are ... See full document
47
Stochastic ordering of Pólya random variables and monotonicity of the Bernstein–Stancu operator for a negative parameter
... contains some auxiliary results of independent interest, needed in the ...the error of approximation of an integral by trapezoidal rule in terms of the first derivative for the function (which ... See full document
10
Error estimation of fuzzy Newton-Cotes method for Integration of fuzzy functions
... posed quadrature rules for integrals of fuzzy- number-valued, they introduced some quadrature rules for the Henstock integral of fuzzy-number- valued mappings by giving error bounds for map- ... See full document
7
Midpoint Type Rules from an Inequalities Point of View
... Perturbed quadrature rules are obtained through the use of Gr¨ uss, Chebychev and Lupa¸ s inequalities, producing a variety of tighter ...produces Trapezoidal type ... See full document
45
A Perturbed Trapezoid Inequality in Terms of the Third Derivative and Applications
... the quadrature rule (2.2) a connected trapezoidal rule and obtains it using an asymptotic error estimate approach which does not provide an expression for the error ...corrected ... See full document
12
Exponential Spectral Risk Measures
... provides some plots showing how estimates of standard normal SRMs vary with different quadrature methods and different values of ...the trapezoidal rule, Simpson’s rule, and ... See full document
17
Derivative Based Midpoint Quadrature Rule
... midpoint quadrature rules were presented, along with their error ...these quadrature rules in a composite formula, all of the derivatives at interior points cancel ...accurate quadrature rules ... See full document
7
Asymptotic Convergence of the Angular Discretization Error in the Discrete Ordinates Approximation of the Particle Transport Equation.
... five quadrature types and the AHOT-N0 code with spatial and angular discretization ...five quadrature sets converge at different ...LCT-N quadrature sets converge asymptotically and ...QRS-1,N ... See full document
152
Parallelization of Definite Integration
... midpoint rule, we approximated regions of area under curves by taking ...the trapezoidal rule, we estimate the area under the curve using piecewise linear ...Simpson’s rule, we estimate = ∫( ) ... See full document
7
An Inequality of Ostrowski's Type of Cumulative Distribution Functions
... DRAGOMIR and S.WANG, Applications of Ostrowski’s inequality to the estimation of error bounds for some special means and some numerical quadrature rules, Appl. FINK, Inequalities for Fun[r] ... See full document
10
Stable Derivative Free Error Corrected Trapezoidal Rule for Burgers' Equation with Inconsistent Initial and Boundary Conditions
... derivative-free error- corrected trapezoidal ...free error corrected trapezoidal rule and discuss its local truncation error and stability and apply it to linearized Burgers’ ... See full document
14
Better Bounds for an Inequality of the Ostrowski Type with Applications
... For other Ostrowski type inequalities for mappings of bounded variation, mono- tonic or Lipschitzian, or generalisations for n − time differentiable mappings, see the book [1], the paper [2] by A.M. Fink, or the recent ... See full document
8
Three Point Identities and Inequalities for n-time Differential Functions
... Remark 7. It is instructive to note that the relative location of α ( · ) and β ( · ) is the same in Corollary 4 and is determined through the parameter γ as defined in (2.13). Theorem 2 is much more general. From (2.13) ... See full document
26
Further Bounds for the Estimation Error Variance of a Continuous Stream with Stationary Variogram
... The paper [1] continues to consider optimal sampling locations for situations where the stream flow rate varies. The optimal sampling location is seen to de- pend on both the flow rate function and the form of the ... See full document
6
An Ostrowski Type Inequality for Double Integrals and Applications for Cubature Formulae
... WANG, An inequality of Ostrowski-Gr¨ uss’ type and its applications to the estimation of error bounds for some special means and for some numerical quadrature rules, Computers Math. WANG[r] ... See full document
11
A companion of Ostrowski's inequality for functions of bounded variation and applications
... Wang, Applications of Ostrowski’s inequality to the estimation of error bounds for some special means and some numerical quadrature rules , Appl. Wang, A new inequality of Ostrowski’s ty[r] ... See full document
9
An Ostrowski Type Inequality for Convex Functions
... All the inequalities in (1.8) are sharp and the constant 1 2 is the best possible. In this paper we establish an Ostrowski type inequality for convex functions. Applications for quadrature rules, for integral ... See full document
12
An Ostrowski Type Inequality for Mappings whose Second Derivatives Belong to Lp (A,B) and Applications
... WANG, Applications of Ostrowski's inequality to the estimation of error bounds for some special means and some numerical quadrature rules, Appl. WANG A new inequality of Ostrowski's type[r] ... See full document
10
An Identity for n-time Differentiable Functions and Applications for Ostrowski Type Inequalities
... WANG, Applications of Ostrowski’s inequality to the estimation of error bounds for some special means and some numerical quadrature rules, Appl.. WANG, A new inequality of Ostrowski’s ty[r] ... See full document
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