Results 11 to 20 of about 618,275 (223)
Gaussian approximation of suprema of empirical processes [PDF]
, 2012 This paper develops a new direct approach to approximating suprema of general empirical processes by a sequence of suprema of Gaussian processes, without taking the route of approximating whole empirical processes in the sup-norm.
Chernozhukov, Victor +2 more
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Goldstone Theorem in the Gaussian Functional Approximation to the Scalar $\phi^{4}$ Theory [PDF]
, 1994 We verify the Goldstone theorem in the Gaussian functional approximation to the $\phi^{4}$ theory with internal O(2) symmetry. We do so by reformulating the Gaussian approximation in terms of Schwinger-Dyson equations from which an explicit demonstration
Dmitrašinović, V. +2 more
core +2 more sources
Approximation Properties of Certain Summation Integral Type Operators
Demonstratio Mathematica, 2015 In the present paper, we study approximation properties of a family of linear positive operators and establish direct results, asymptotic formula, rate of convergence, weighted approximation theorem, inverse theorem and better approximation for this ...
Patel P., Mishra Vishnu Narayan
doaj +1 more source
Kronecker’s approximation theorem
Indagationes Mathematicae, 2016 By elementary algebraic/arithmetic reasoning \textit{L. Kronecker} [Berl. Ber. 1884, 1179--1193 (1884; JFM 16.0083.02)] proved: Theorem A. Let \(A\) be an \(N \times M\) matrix with real entries, and let \(\alpha\in \mathbb R^N\) . Then the following two assertions are equivalent: 1.
Steven M. Gonek, Hugh L. Montgomery
openaire +2 more sources
Journal of Inequalities and Applications, 2017 In this paper, we establish a link between the Szász-Durrmeyer type operators and multiple Appell polynomials. We study a quantitative-Voronovskaya type theorem in terms of weighted modulus of smoothness using sixth order central moment and Grüss ...
Trapti Neer, Purshottam Narain Agrawal
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Bézier-Summation-Integral-Type Operators That Include Pólya–Eggenberger Distribution
Mathematics, 2022 We define the summation-integral-type operators involving the ideas of Pólya–Eggenberger distribution and Bézier basis functions, and study some of their basic approximation properties. In addition, by means of the Ditzian–Totik modulus of smoothness, we
Syed Abdul Mohiuddine +2 more
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Formal and convergent solutions of analytic equations [PDF]
, 2017 We provide the detailed proof of a sharpened version of the M.
Płoski, Arkadiusz
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Equidistribution of rational functions having a superattracting periodic point towards the activity current and the bifurcation current [PDF]
, 2003 We establish an approximation of the activity current $T_c$ in the parameter space of a holomorphic family $f$ of rational functions having a marked critical point $c$ by parameters for which $c$ is periodic under $f$, i.e., is a superattracting periodic
Okuyama, Yûsuke
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A new type of Szász–Mirakjan operators based on q-integers
Journal of Inequalities and Applications, 2023 In this article, by using the notion of quantum calculus, we define a new type Szász–Mirakjan operators based on the q-integers. We derive a recurrence formula and calculate the moments Φ n , q ( t m ; x ) $\Phi _{n,q}(t^{m};x)$ for m = 0 , 1 , 2 $m=0,1 ...
Pembe Sabancigil +2 more
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Parametrix for the localization of the Bergman metric on strictly pseudoconvex domains [PDF]
, 2017 We give the parameter version of localization theorem for Bergman metric near the boundary points of strictly pseudoconvex domains. The approximation theorem for square integrable holomorphic functions on such domains in the spirit of Graham-Kerzman is ...
Lewandowski, Arkadiusz
core +2 more sources