Quadrature Rules
Application of CAS wavelet to construct quadrature rules for numerical integration
... new quadrature rules to approx- imate double and triple integrals with variables limits are ...Presented quadrature rules in this paper can approximate some im- proper ...
6
On the Equivalence between Kernel Quadrature Rules and Random Feature Expansions
... kernel-based quadrature rules for computing integrals can be seen as a special case of random feature expansions for positive definite kernels, for a particular decomposi- tion that always exists for such ...
38
Three Point Quadrature Rules Involving, at Most, a First Derivative
... Gr¨ uss-type results are obtained, giving perturbed quadrature rules. A prema- ture Gr¨ uss approach has produced rules that have tighter bounds. A new identity introduced recently by Dragomir and ...
64
Gaussian quadrature rules and A stability of Galerkin schemes for ODE
... Remark 4.14 . The proof of the A-stability presented here seems to be new in the sense that it uses only elementary properties of Legendre polynomials and Gaussian quadrature rules. However, we do not ...
13
Lobatto Type Quadrature Rules for Functions with Bounded Derivative
... Conclusion 1. Inequalities have been developed for quadrature rules in which the integrand is bounded from below and above. Previous results have been recaptured as special cases. Results are obtained for a ...
12
Approximating the Stieltjes Integral of Bounded Functions and Applications for Three Point Quadrature Rules
... Stieltjes integral, Functions of bounded variation, Lipschitzian func- tions, Monotonic functions, Quadrature rules.. 1..[r] ...
12
On orthogonal polynomials and quadrature rules related to the second kind of beta distribution
... Gauss-Jacobi quadrature rules cannot be considered for this class, because some restrictions such as { max n } ≤ a + b – 1/2, a < 1/2, b > 0 and (–1) 2a = 1 must be satisfied for its orthogonality ...
7
An adaptive integration scheme using a mixed quadrature of three different quadrature rules
... mixed quadrature rules and fix the termination criterion for adaptive integration using the mixed quadrature rule and evaluated successfully various real definite ...Mixed quadrature [5] [6] ...
9
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] ...
10
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] ...
10
On a Weighted Generalization of Iyengar Type Inequalities Involving Bounded First Derivative
... function. Quadrature rules are obtained and the classical Iyengar inequality for the trapezoidal rule is recaptured as a special case when the weight function w (x) ≡ ...
9
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] ...
8
An Ostrowski's Type Inequality for a Random Variable whose Probability Density Function Belongs to L∞ [A,B]
... Wang applied Ostrowski's inequality in Numeri- cal Analysis obtaining an estimation of the error bound for the quadrature rules of Riemann type in terms of the innity norm kk.. : Applica[r] ...
10
An Ostrowski Type Inequality for Convex Functions
... Abstract. An Ostrowski type integral inequality for convex functions and applications for quadrature rules and integral means are given. A refinement and a counterpart result for Hermite-Hadamard ...
12
A Generalised Trapezoid Type Inequality for Convex Functions
... A generalised trapezoid inequality for convex functions and appli- cations for quadrature rules are given.. A refinement and a counterpart result for the Hermite-Hadamard inequalities ar[r] ...
10
Statistical computation with kernels
... The previous chapter introduced BQ and focused mostly on its variants based on MC, IS, MCMC and QMC point sets. We then provided theory on their asymp- totic properties and showed that these optimally-weighted ...
235
Further Bounds for the Estimation Error Variance of a Continuous Stream with Stationary Variogram
... 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.. Wan[r] ...
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] ...
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] ...
9
Discrete adomian decomposition method for solving fredholm integral equations of the second kind
... In addition, it discusses the process of applying the Discrete Adomian Decomposition Method (DADM) which gives the numerical solution at the nodes using quadrature rules like Simpsons ru[r] ...
19