Results 51 to 60 of about 18,585 (194)
A new way to prove L'Hospital Monotone Rules with applications [PDF]
Let $-\infty \leq ...
Yang, Zhen-Hang
core
Cuttlebone‐inspired metamaterials exploit a septum‐wall architecture to achieve excellent mechanical and functional properties. This review classifies existing designs into direct biomimetic, honeycomb‐type, and strut‐type architectures, summarizes governing design principles, and presents a decoupled design framework for interpreting multiphysical ...
Xinwei Li, Zhendong Li
wiley +1 more source
Moderate Deviation Principles for Lacunary Trigonometric Sums
ABSTRACT Classical works of Kac, Salem, and Zygmund, and Erdős and Gál have shown that lacunary trigonometric sums despite their dependency structure behave in various ways like sums of independent and identically distributed random variables. For instance, they satisfy a central limit theorem (CLT) and a law of the iterated logarithm.
Joscha Prochno, Marta Strzelecka
wiley +1 more source
Littlewood, Paley and almost‐orthogonality: a theory well ahead of its time
Abstract The classic paper by Littlewood and Paley [J. Lond. Math. Soc. (1), 6 (1931), 230–233] marked the birth of Littlewood–Paley theory. We discuss this paper and its impact from a historical perspective, include an outline of the results in the paper and their subsequent significance in relation to developments over the last century, and set them ...
Anthony Carbery
wiley +1 more source
V-cycle optimal convergence for DCT-III matrices [PDF]
The paper analyzes a two-grid and a multigrid method for matrices belonging to the DCT-III algebra and generated by a polynomial symbol. The aim is to prove that the convergence rate of the considered multigrid method (V-cycle) is constant independent of
Possio, C. Tablino
core +1 more source
Inequalities for trigonometric polynomials
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Department of Mathematics, University of Florida, Gainesville, Florida 32611, U.S.A. ( host institution ) +1 more
openaire +2 more sources
Abstract A real sequence Λ={λn}n=1∞$\Lambda = \lbrace \lambda _n\rbrace _{n=1}^\infty$ is called p$p$‐generating if there exists a function g$g$ whose translates {g(x−λn)}n=1∞$\lbrace g(x-\lambda _n)\rbrace _{n=1}^\infty$ span the space Lp(R)$L^p(\mathbb {R})$.
Nir Lev, Anton Tselishchev
wiley +1 more source
Bounds for sine and cosine via eigenvalue estimation
Define n × n tridiagonal matrices T and S as follows: All entries of the main diagonal of T are zero and those of the first super- and subdiagonal are one.
Haukkanen Pentti +3 more
doaj +1 more source
On a theorem of S.S.Bhatia and B.Ram [PDF]
In this paper some inequalities for Dirichlet\u27s and Fejer\u27s kernels proved in [6] are refined and extended. Then we have obtained the conditions for L^1-convergence of the r-th derivatives of complex trigonometric series.
Ž. Tomovski
core
An inequality for trigonometric polynomials [PDF]
Our purpose is to obtain in an elementary way a sharp estimate on the derivative of a trigonometric polynomial of degree ⩽ n \leqslant n at a point θ \theta when the trigonometric polynomial has a known bound at the Chebyshev points and at θ \theta .
openaire +1 more source

