Results 181 to 190 of about 37,103 (214)

Complex measures having quadrature formulae with optimal exactness

Acta Mathematica Hungarica, 2009
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Berriochoa, E., Cachafeiro, A., García-Amor, J.   +2 more
openaire   +2 more sources

Error inequalities for an optimal quadrature formula

Journal of Applied Mathematics and Computing, 2007
An optimal 3-point quadrature formula of closed type is derived. It is shown that the optimal quadrature formula has a better error bound than the well-known Simpson's rule. A corrected formula is also considered. Various error inequalities for these formulas are established. Applications in numerical integration are given.
openaire   +3 more sources

CONSTRUCTION OF OPTIMAL QUADRATURE FORMULAS IN SOBOLEV SPACE.

2023
In this article, a series of problems related to the creation and application of quadrature and cubature formulas, including: finding errors of quadrature and cubature formulas in the Gilbert phases of differential functions; calculating error functionals of found extremal functions using extremal functions; finding the conditions for the existence and
openaire   +1 more source

A WEIGHTED OPTIMAL QUADRATURE FORMULA WITH DERIVATIVE

UZBEK MATHEMATICAL JOURNAL
This article focuses on the derivation and analysis of a weighted optimal quadra- ture formula in the Hilbert space W (2,1) 2 (0, 1). The formula is expressed as a linear combination of function values and its first-order derivatives at equidistant nodes in the interval [0, 1].
openaire   +1 more source

Optimal Quadrature Formulae for Periodic Functions

1974
We consider \( {\tilde H_\beta }: = \left\{ {f\left| {2\pi - } \right.} \right. \) periodic, holomorphic in a strip of width 2β, real on ℝ with \( {\left| f \right|_\beta }: = \mathop {\sup }\limits_{\left| y \right| < \beta } \left| {\operatorname{Re} f\left( {x + iy} \right)} \right| < \infty \} \) and \( \tilde H_\beta ^1 = \left\{ {f \in {{\tilde H}
openaire   +1 more source

Widths and optimal quadrature formulas for convolution classes

Ukrainian Mathematical Journal, 1991
We compute Kolmogorov widths in the space L1 for classes of periodic functions representable in the form of a kernel convolution that does not increase the number of sign changes with values in a given transposition invariant set of functions, and solve the optimization problem for quadrature formulas in these classes.
openaire   +1 more source

LINEAR DIFFERENTIAL OPERATORS WITH REAL SPECTRUM, AND OPTIMAL QUADRATURE FORMULAS

Mathematics of the USSR-Izvestiya, 1985
Summary: This article deals with an investigation of optimal quadrature formulas on periodic function classes defined by a restriction imposed on the action of a linear differential operator with constant coefficients and real spectrum in the metric of the space \(L^ p\), \(1\leq p\leq \infty\). It is proved that on each class of this form there is for
openaire   +1 more source

A Class of Optimal Quadrature Formulae

IMA Journal of Numerical Analysis, 1983
Raina, B. L., Kaul, N.
openaire   +2 more sources

An Optimal Quadrature Formula With Derivative for Weakly Singular Integrals

Mathematical Methods in the Applied Sciences
ABSTRACT This article presents the derivation and analysis of an optimal quadrature formula for the numerical integration of fractional integrals in the Hilbert space . In this space, functions satisfy certain smoothness conditions.
Abdullo Hayotov, Samandar Babaev
openaire   +1 more source

Optimal quadrature formula in space

Applied Numerical Mathematics, 2012
Kh.M. Shadimetov, A.R. Hayotov, S.S. Azamov   +2 more
openaire   +1 more source