Results 71 to 80 of about 18,163 (201)

Inequalities for Chebyshev Functional in Banach Algebras [PDF]

open access: yesCubo (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   +2 more
openaire   +3 more sources

On the Fourier transform of measures in Besov spaces

open access: yesBulletin of the London Mathematical Society, Volume 58, Issue 1, January 2026.
Abstract We prove quantitative estimates for the decay of the Fourier transform of the Riesz potential of measures that are in homogeneous Besov spaces of the negative exponent: ∥Iαμ̂∥Lp,∞⩽C∥μ∥Mb12supt>0td−β2∥pt*μ∥∞12,$$\begin{align*} \Vert \widehat{I_{\alpha }\mu }\Vert _{L^{p, \infty }} \leqslant C \Vert \mu \Vert _{M_b}^{\frac{1}{2}}{\left(\sup _{t ...
Riju Basak   +2 more
wiley   +1 more source

New theorems in approximation theory

open access: yesمجلة بغداد للعلوم, 2010
The aim of this paper is to prove some results for equivalence of moduli of smoothnes in approximation theory , we used a"non uniform" modulus of smoothness and the weighted Ditzian –Totik moduli of smoothness in by spline functions ,several ...
Baghdad Science Journal
doaj   +1 more source

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

open access: yes, 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  

The sharp upper bound for generation of linear semigroups by higher order equations with fractional powers

open access: yesBulletin of the London Mathematical Society, Volume 58, Issue 1, January 2026.
Abstract In this paper, we consider a class of higher‐order equations and show a sharp upper bound on fractional powers of unbounded linear operators associated with higher‐order abstract equations in Hilbert spaces.
Flank D. M. Bezerra   +2 more
wiley   +1 more source

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

open access: yesJournal 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

Noncommutative Chebyshev inequality involving the Hadamard product

open access: yes, 2018
We present several operator extensions of the Chebyshev inequality for Hilbert space operators. The main version deals with the synchronous Hadamard property for Hilbert space operators.
Bakherad, Mojtaba   +1 more
core  

On a rigidity property for quadratic gauss sums

open access: yesMathematika, Volume 72, Issue 1, January 2026.
Abstract Let N$N$ be a large prime and let c>1/4$c > 1/4$. We prove that if f$f$ is a ±1$\pm 1$‐valued multiplicative function, such that the exponential sums Sf(a):=∑1⩽n
Alexander P. Mangerel
wiley   +1 more source

Chebyshev centers that are not farthest points

open access: yes, 2016
In this paper we address the question whether in a given Banach space, a Chebyshev center of a nonempty bounded subset can be a farthest point of the set. Our exploration reveals that the answer depends on the convexity properties of the Banach space. We
Kadets, Vladimir   +3 more
core  

One‐level densities in families of Grössencharakters associated to CM elliptic curves

open access: yesMathematika, Volume 72, Issue 1, January 2026.
Abstract We study the low‐lying zeros of a family of L$L$‐functions attached to the complex multiplication elliptic curve Ed:y2=x3−dx$E_d \;:\; y^2 = x^3 - dx$, for each odd and square‐free integer d$d$. Specifically, upon writing the L$L$‐function of Ed$E_d$ as L(s−12,ξd)$L(s-\frac{1}{2}, \xi _d)$ for the appropriate Grössencharakter ξd$\xi _d$ of ...
Chantal David, Lucile Devin, Ezra Waxman
wiley   +1 more source

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