Results 41 to 50 of about 3,602 (157)

CONVERGENCE OF SOLUTIONS OF BILATERAL PROBLEMS IN VARIABLE DOMAINS AND RELATED QUESTIONS

Ural Mathematical Journal, 2017
We discuss some results on the convergence of minimizers and minimum values of integral and more general functionals on sets of functions defined by bilateral constraints in variable domains. We consider the case of regular constraints, i.e., constraints
Alexander A. Kovalevsky
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Limits of Latin squares

Discrete Analysis, 2023
Limits of Latin squares, Discrete Analysis 2023:8, 66 pp. There has been a great deal of work over the last fifteen to twenty years on the theme of continuous limits of discrete combinatorial objects. In particular, any sequence of graphs of increasing
Frederik Garbe, Robert Hancock, Jan Hladky, Maryam Sharifzadeh   +3 more
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Almost Everywhere Convergence of Riesz-Raikov Series [PDF]

Colloquium Mathematicum, 1995
Summary: Let \(T\) be a \(d\times d\) matrix with integer entries and with eigenvalues \(>1\) in modulus. Let \(f\) be a Lipschitzian function of positive order. We prove that the series \(\sum^\infty_{n=1} c_nf(T^nx)\) converges almost everywhere with respect to Lebesgue measure provided that \(\sum^\infty_{n=1}|c_n|^2\log ...
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On the almost everywhere convergence of the ergodic averages [PDF]

Ergodic Theory and Dynamical Systems, 1990
AbstractLet (X, ν) be a finite measure space and let T: X → X be a measurable transformation. In this paper we prove that the averages converge a.e. for every f in Lp(dν), 1 < p < ∞, if and only if there exists a measure γ equivalent to ν such that the averages apply uniformly Lp(dν) into weak-Lp(dγ).
F. J. Martín-Reyes, A. De La Torre
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On almost-everywhere convergence of Malmquist-Takenaka series

Journal of Functional Analysis, 2022
We prove L P bounds for the maximal partial sum operator of the Malmquist- Takenaka series under additional assumptions on the zeros of the Mobius transforms. We locate the problem in the time-frequency setting and, in particular, we connect it to the polynomial Carleson theorem.
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Nonsmooth spectral gradient methods for unconstrained optimization

EURO Journal on Computational Optimization, 2017
To solve nonsmooth unconstrained minimization problems, we combine the spectral choice of step length with two well-established subdifferential-type schemes: the gradient sampling method and the simplex gradient method.
Milagros Loreto, Hugo Aponte, Debora Cores, Marcos Raydan   +3 more
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Almost Everywhere Convergence of Orthogonal Series Revisited

Journal of Mathematical Analysis and Applications, 1994
We deal with single and double orthogonal series and give sufficient conditions which ensure their convergence almost everywhere. Among others, we prove that if \[ \sum^ \infty_{j= 3} \sum^ \infty_{k= 3} a_{jk}^ 2\log j\log k\log^ 2_ +(1/a^ 2_{jk})
Moricz, F., Tandori, K.
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Almost everywhere continuity of conditional expectations

Modern Stochastics: Theory and Applications
A necessary and sufficient condition on a sequence ${\{{\mathcal{A}_{n}}\}_{n\in \mathbb{N}}}$ of σ-subalgebras which assures convergence almost everywhere of conditional expectations for functions in ${L^{\infty }}$ is given. It is proven that for $f\in
Alberto Alonso, Fernando Brambila-Paz
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Almost everywhere convergence of series

Mathematische Annalen, 1988
Let (X,\(\beta\),m) be a probability space and let \(T: L_ 2(X)\to L_ 2(X)\) be a contraction. The series \(\sum ^{\infty}_{n=1}c_ nT^ n\) converges in norm if \(\sum ^{\infty}_{n=1}c_ n\exp (2\pi inx)\) converges uniformly. But also there are many examples of \((c_ n)\) for which \(\sum ^{\infty}_{n=1}| c_ n| =\infty\) and yet the series \(\sum ...
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Continuity of the orthogeodesic foliation and ergodic theory of the earthquake flow

Forum of Mathematics, Sigma
In a previous paper, the authors extended Mirzakhani’s (almost-everywhere defined) measurable conjugacy between the earthquake and horocycle flows to a measurable bijection.
Aaron Calderon, James Farre
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