Results 21 to 30 of about 601,821 (236)

New Inequalities of Simpson's Type for s-Convex Functions with Applications [PDF]

, 2009
In terms of the first derivative, some inequalities of Simpson’s type based on s-convexity and concavity are introduced. Best Midpoint type inequalities are given.
Dragomir, Sever S, Alomari, Mohammad, Darus, Maslina   +2 more
core   +3 more sources

The Effect of the Bending Beam Width Variations on the Discrepancy of the Resulting Quadrature Errors in MEMS Gyroscopes

Micromachines, 2022
In this paper, we develop a new approach in order to understand the origin of the quadrature error in MEMS gyroscopes. As the width of the flexure springs is a critical parameter in the MEMS design, it is necessary to investigate the impact of the width ...
Alexandre Azier, Najib Kacem, Bernard Chaumet, Noureddine Bouhaddi   +3 more
doaj   +1 more source

On Birkhoff Quadrature Formulas [PDF]

Proceedings of the American Mathematical Society, 1986
In an earlier work the author has obtained new quadrature formulas (see (1.3)) based on function values and second derivatives on the zeros of
openaire   +2 more sources

On Gauss’ and Tchebycheff’s quadrature formulas [PDF]

Bulletin of the American Mathematical Society, 1944
Not ...
openaire   +3 more sources

The numerical solution of a Fredholm integral equations of the second kind by the weighted optimal quadrature formula

Results in Applied Mathematics
This work considers the optimal quadrature formula in a Hilbert space for the numerical approximation of the integral equations. It discusses the sequence of solving integral equations with quadrature formulas.
Abdullo Hayotov, Samandar Babaev
doaj   +1 more source

Asymptotics for Stieltjes polynomials, Padé-type approximants, and Gauss-Kronrod quadrature [PDF]

, 2002
23 pages, 1 figure.-- MSC1991 codes: Primary: 41A21, 42C05; Secondary: 30E10.MR#: MR1894475 (2002m:41021)Zbl#: Zbl 1020.41019We study the asymptotic properties of Stieltjes polynomials outside the support of the measure as well as the asymptotic ...
López Lagomasino, Guillermo, De La Calle Ysern, B. [0000-0003-2842-2611], Guadalupe Hernández, J.J., Guadalupe, José Javier, B. De La Calle Ysern, Lopez Lagomasino, G. [0000-0002-9137-9188], G. López Lagomasino, J. J. Guadalupe Hernández, M. Bello Hernández, Bello, Manuel, Calle Ysern, Bernardo de la, Bello Hernández, M. [0000-0002-1833-4688], Lopez Lagomasino, G., Bello Hernández, M., De La Calle Ysern, B.   +14 more
core   +1 more source

Optimal formulas for the approximate-analytical solution of the general Abel integral equation in the Sobolev space

Results in Applied Mathematics, 2022
This article discusses the development of a new algorithm, which is based on optimal quadrature formulas for obtaining solutions to the generalized Abel integral equations.
Kholmat M. Shadimetov, Bakhtiyor S. Daliev   +1 more
doaj   +1 more source

Customized Itinerant Frequency Combs by Cascaded Nonlinear Effects

Advanced Science, EarlyView.
A cascaded third‐order nonlinear system generates an itinerant frequency comb with the comb center frequency decoupled from the cavity resonance. This enables arbitrary spectral scaling, flexible spacing adjustments, and real‐time central‐frequency engineering, allowing comb splicing and subdivision. The resulting versatility and reconfigurability open
Yi Wang, Yulong Liu, Zeji Li, Wenyan Wang, Sihan Wang, Cheng Wang, Jingwei Zhou, Jie‐Qiao Liao, Tiefu Li   +8 more
wiley   +1 more source

Longitudinal Awake Mouse Brain Imaging Using Functional Ultrasound and Functional Ultrasound Localization Microscopy

Advanced Science, EarlyView.
Awake longitudinal multimodal ultrasound imaging integrates functional ultrasound (fUS), ultrasound localization microscopy (ULM), and functional ULM (fULM) to characterize cerebrovascular function, microvascular architecture, and flow dynamics within the same animals over time.
Zhe Huang, Yike Wang, Matthew R. Lowerison, Yue Xu, Murong Yi, Bing‐Ze Lin, YiRang Shin, Nathiya Vaithiyalingam Chandra Sekaran, Daniel A. Llano, Pengfei Song   +9 more
wiley   +1 more source

Nonlinear Stability and Convergence of Two-Step Runge-Kutta Methods for Volterra Delay Integro-Differential Equations

Abstract and Applied Analysis, 2013
This paper introduces the stability and convergence of two-step Runge-Kutta methods with compound quadrature formula for solving nonlinear Volterra delay integro-differential equations.
Haiyan Yuan, Cheng Song
doaj   +1 more source