Results 21 to 30 of about 1,241,136 (285)
On bounded functions with bounded 𝑛th differences [PDF]
Proceedings of the American Mathematical Society, 1959 We consider real valued functions f defined in a closed interval I (bounded or unbounded), with nth differences $$ \Delta _{h}^{n}f(x) = \sum\limits_{i} {{{{( - 1)}}^{{n - i}}}} \left( {\begin{array}{*{20}{c}} n \\ i \\ \end{array} } \right)f(x + ih) $$ bounded for some fixed n.
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Extending the Set of Quadratic Exponential Vectors [PDF]
, 2008 We extend the square of white noise algebra over the step functions on R to the test function space of bounded square-integrable functions on R^d, and we show that in the Fock representation the exponential vectors exist for all test functions bounded by
Accardi, Luigi +2 more
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Entire Bivariate Functions of Exponential Type II
Математичні Студії, 2023 Let $f(z_{1},z_{2})$ be a bivariate entire function and $C$ be a positive constant. If $f(z_{1},z_{2})$ satisfies the following inequality for non-negative integer $M$, for all non-negative integers $k,$ $l$ such that $k+l\in\{0, 1, 2, \ldots, M\}$, for ...
A. Bandura, F. Nuray
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Functions with bounded spectrum [PDF]
Transactions of the American Mathematical Society, 1995 Summary: Let \(0< p\leq \infty\), \(f(x)\in L_p(\mathbb{R}^n)\), and \(\text{supp } Ff\) be bounded, where \(F\) is the Fourier transform. We prove in this paper that the sequence \(|D^\alpha f|^{1/|\alpha|}_p\), \(\alpha\geq 0\), has the same behavior as the sequence \(\sup_{\xi\in \text{supp }Ff} |\xi^{\alpha}|^{1/|\alpha|}\), \(\alpha\geq 0\).
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Estimate of the squeezing function for a class of bounded domains [PDF]
, 2017 We construct a class of bounded domains, on which the squeezing function is not uniformly bounded from below near a smooth and pseudoconvex boundary point.Comment: 7 pages; corrected errors and improved presentation; to appear in Math ...
Fornaess, John Erik, Rong, Feng
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Legendre Wavelet expansion of functions and their Approximations
Ratio Mathematica, 2019 In this paper , nine new Legendre wavelet estimators of functions having bounded third and fourth derivatives have been obtained.These estimators are new and best approximation in wavelet analysis.
Indra Bhan, Lal Shyam, Lal Shyam
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On Almost Bounded Functions [PDF]
Transactions of the American Mathematical Society, 1976 New results are presented with regard to the “almost bounded functions” introduced by Goodman [2], including a theorem which contains a proof of Goodman’s conjecture for a particular case.
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Lebesgue type inequalities for quasi-greedy bases [PDF]
, 2012 We show that for quasi-greedy bases in real or complex Banach spaces the error of the thresholding greedy algorithm of order N is bounded by the best N- term error of approximation times a function of N which depends on the democracy functions and the ...
Garrigós, Gustavo +2 more
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Fractal and Fractional, 2022 The main focus of this research is to solve certain coefficient-related problems for analytic functions that are subordinated to a unique trigonometric function.
Lei Shi +4 more
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On Bounded Analytic Functions [PDF]
Proceedings of the American Mathematical Society, 1950 The objective of this paper is to give an alternative derivation of results on bounded analytic functions recently obtained by Ahlfors [1] and Garabedian [2].1 While it is admitted that the main idea to be used is more in the nature of a lucky guess than of a method, it will be found that the gain in brevity and simplicity of the argument is ...
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