Results 61 to 70 of about 18,205 (197)

Bivariate Lagrange interpolation at the node points of Lissajous curves - the degenerate case

, 2016
In this article, we study bivariate polynomial interpolation on the node points of degenerate Lissajous figures. These node points form Chebyshev lattices of rank $1$ and are generalizations of the well-known Padua points.
Erb, Wolfgang
core   +1 more source

Toward Genuine Efficiency and Cluster Robustness of Preconditioned CG‐Like Eigensolvers

Numerical Linear Algebra with Applications, Volume 33, Issue 2, April 2026.
ABSTRACT The locally optimal block preconditioned conjugate gradient (LOBPCG) method is a popular solver for large and sparse Hermitian eigenvalue problems. However, recently proposed alternatives for its single‐vector version LOPCG indicate certain problematic cases with less accurate preconditioners and clustered target eigenvalues.
Ming Zhou, Klaus Neymeyr
wiley   +1 more source

Weak Type Inequalities for Some Integral Operators on Generalized Nonhomogeneous Morrey Spaces

Journal of Function Spaces and Applications, 2013
We prove weak type inequalities for some integral operators, especially generalized fractional integral operators, on generalized Morrey spaces of nonhomogeneous type.
Hendra Gunawan, Denny Ivanal Hakim, Yoshihiro Sawano, Idha Sihwaningrum   +3 more
doaj   +1 more source

Is Gauss quadrature better than Clenshaw-Curtis? [PDF]

, 2006
We consider the question of whether Gauss quadrature, which is very famous, is more powerful than the much simpler Clenshaw-Curtis quadrature, which is less well-known.
Trefethen, Lloyd N.
core  

On Nonlinear Oscillations: Basins of Attraction, Harmonic Balance Solution Artifacts and Urabe's Existence Criterion for the Duffing Oscillator

ZAMM - Journal of Applied Mathematics and Mechanics / Zeitschrift für Angewandte Mathematik und Mechanik, Volume 106, Issue 4, April 2026.
ABSTRACT The Duffing oscillator is often considered as “the” prototype of a nonlinear oscillator as it exhibits many characteristic phenomena of nonlinear dynamics. One of these phenomena is the occurrence of multiple periodic solutions as considered here for the case of the harmonically excited slightly damped Duffing oscillator.
Hannes Dänschel, Lukas Lentz, Nils Gräbner, Utz von Wagner   +3 more
wiley   +1 more source

Enhancing Markov and Chebyshev's inequalities

, 2023
The idea of the restricted mean has been used to establish a significantly improved version of Markov's inequality that does not require any new assumptions. The result immediately extends on Chebyshev's inequalities and Chernoff's bound. The improved Markov inequality yields a bound that is hundreds or thousands of times more accurate than the ...
openaire   +2 more sources

Inequalities for Chebyshev Functional in Banach Algebras [PDF]

Cubo (Temuco), 2017
Summary: By utilizing some identities for double sums, some new inequalities for the Chebyshev functional in Banach algebras are given. Some examples for the exponential and resolvent functions on Banach algebras are also provided.
Dragomir, Sever S, Boldea, Marius Valentin, Megan, M   +2 more
openaire   +3 more sources

Hypergraphs with arbitrarily small codegree Turán density

Bulletin of the London Mathematical Society, Volume 58, Issue 4, April 2026.
Abstract The codegree Turán density γ(F)$\gamma (F)$ of a k$k$‐graph F$F$ is the smallest γ∈[0,1)$\gamma \in [0,1)$ such that every k$k$‐graph H$H$ with δk−1(H)⩾(γ+o(1))|V(H)|$\delta _{k-1}(H)\geqslant (\gamma +o(1))\vert V(H)\vert$ contains a copy of F$F$. In this work, we show that for every ε>0$\varepsilon >0$, there is a k$k$‐uniform hypergraph F$F$
Simón Piga, Bjarne Schülke
wiley   +1 more source

A Sharp Simpson’s Second Type Inequality via Riemann–Liouville Fractional Integrals

Journal of Mathematics
This paper deals with a new sharp version of Simpson’s second inequality by using the concepts of absolute continuity, Grüss inequality, and Chebyshev functionals. To demonstrate the applicability of the main result, three examples are given.
Mohsen Rostamian Delavar
doaj   +1 more source

Fractional Dirichlet problems with an overdetermined non‐local Neumann condition

Proceedings of the London Mathematical Society, Volume 132, Issue 4, April 2026.
Abstract We investigate symmetry and quantitative approximate symmetry for an overdetermined problem related to the fractional torsion equation in a regular open, bounded set Ω⊆Rn$\Omega \subseteq \mathbb {R}^n$. Specifically, we show that if Ω¯$\overline{\Omega }$ has positive reach and the non‐local normal derivative introduced in Dipierro, Ros‐Oton ...
Michele Gatti, Julian Scheuer, Tobias Weth   +2 more
wiley   +1 more source