Results 61 to 70 of about 616,982 (218)

Properties and Applications of Symmetric Quantum Calculus

Fractal and Fractional
Symmetric derivatives and integrals are extensively studied to overcome the limitations of classical derivatives and integral operators. In the current investigation, we explore the quantum symmetric derivatives on finite intervals.
Miguel Vivas-Cortez, Muhammad Zakria Javed, Muhammad Uzair Awan, Silvestru Sever Dragomir, Ahmed M. Zidan   +4 more
doaj   +1 more source

Efficiency in Pure‐Exchange Economies With Risk‐Averse Monetary Utilities

Mathematical Finance, EarlyView.
ABSTRACT We study Pareto efficiency in a pure‐exchange economy where agents' preferences are represented by risk‐averse monetary utilities. These coincide with law‐invariant monetary utilities, and they can be shown to correspond to the class of monotone, (quasi‐)concave, Schur concave, and translation‐invariant utility functionals. This covers a large
Mario Ghossoub, Michael B. Zhu
wiley   +1 more source

Trace ideals for Fourier integral operators with non-smooth symbols II

, 2007
We consider Fourier integral operators with symbols in modulation spaces and non-smooth phase functions whose second orders of derivatives belong to certain types of modulation space.
A. Boulkhemair, B. Simon, Francesco Concetti, H.G. Feichtinger, H.G. Feichtinger, H.G. Feichtinger, H.G. Feichtinger, H.G. Feichtinger, H.G. Feichtinger, J. Bergh, J. Sjöstrand, J. Toft, J. Toft, Joachim Toft, K. Asada, K. Gröchenig, M. Ruzhansky, M. Ruzhansky, M. Sugimoto, N. Teofanov, S. Pilipović, W. Baoxiang   +21 more
core   +2 more sources

Refined and Generalized Versions of Hölder’s Inequality via Schur Convexity of Functions

Journal of Function Spaces
In this paper, we introduce a class of functions associated with Hölder’s inequality and show the Schur convexities of these functions. With the help of Schur convexity, several improved versions of Hölder’s inequality are established.
Shanhe Wu
doaj   +1 more source

On the Fourier transform of measures in Besov spaces

Bulletin of the London Mathematical Society, EarlyView.
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, Daniel Spector, Dmitriy Stolyarov   +2 more
wiley   +1 more source

New practical algorithms for the approximate shortest lattice vector [PDF]

, 2005
We present a practical algorithm that given an LLL-reduced lattice basis of dimension n, runs in time O(n3(k=6)k=4+n4) and approximates the length of the shortest, non-zero lattice vector to within a factor (k=6)n=(2k). This result is based on reasonable
Schnorr, Claus Peter
core  

A full classification of the isometries of the class of ball‐bodies

Bulletin of the London Mathematical Society, EarlyView.
Abstract Complementing our previous results, we give a classification of all isometries (not necessarily surjective) of the metric space consisting of ball‐bodies, endowed with the Hausdorff metric. ‘Ball‐bodies’ are convex bodies which are intersections of translates of the Euclidean unit ball.
Shiri Artstein‐Avidan, Arnon Chor, Dan I. Florentin   +2 more
wiley   +1 more source

Modeling Sequences of Long Memory Positive Weakly Stationary Random Variables [PDF]

, 2002
In this paper we introduce a new class of covariance stationary long-memory models on the positive half-line. The overall structure of the models is related to that of GARCH processes of Engle (1982) and Bollerslev (1986), whereby sequence of random ...
Dmitri Koulikov
core   +1 more source

A generalization of the discrete version of Minkowski's fundamental theorem [PDF]

, 2014
One of the most fruitful results from Minkowski's geometric viewpoint on number theory is his so called 1st Fundamental Theorem. It provides an optimal upper bound for the volume of an o-symmetric convex body whose only interior lattice point is the ...
Bernardo González Merino, M. Henze
semanticscholar   +1 more source

A fractal local smoothing problem for the wave equation

Bulletin of the London Mathematical Society, EarlyView.
Abstract For any given set E⊂[1,2]$E\subset [1,2]$, we discuss a fractal frequency‐localized version of the Lp$L^p$ local smoothing estimates for the half‐wave propagator with times in E$E$. A conjecture is formulated in terms of a quantity involving the Assouad spectrum of E$E$ and the Legendre transform.
David Beltran, Joris Roos, Alex Rutar, Andreas Seeger   +3 more
wiley   +1 more source