Applications of statistically probability convergence to approximation theorem [PDF]
, 2021 Swati Jasrotia +2 more
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Some approximation theorems [PDF]
Proceedings Mathematical Sciences, 2003 The general theme of this note is illustrated by the following theorem: Theorem 1. Suppose $K$ is a compact set in the complex plane and 0 belongs to the boundary $\partial K$. Let ${\cal A}(K)$ denote the space of all functions $f$ on $K$ such that $f$ is holomorphic in a neighborhood of $K$ and $f(0)=0$. Also for any given positive integer $m$, let ${
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Approximation using Jakimovski–Leviatan operators of Durrmeyer type with 2D-Appell polynomials
Journal of Inequalities and ApplicationsThis article delves into Jakimovski–Leviatan–Durrmeyer type operators based on 2D-Appell polynomials. The investigation initiates by exploring the Korovkin-type approximation theorem and its convergence rates, employing both the traditional modulus of ...
Manoj Kumar, Nusrat Raza, M. Mursaleen
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Sinusoidal Approximation Theorem for Kolmogorov–Arnold Networks
MathematicsThe Kolmogorov–Arnold representation theorem states that any continuous multivariable function can be exactly represented as a finite superposition of continuous single-variable functions.
Sergei Gleyzer +3 more
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On ( p , q ) $(p,q)$ -Szász-Mirakyan operators and their approximation properties
Journal of Inequalities and Applications, 2017 In the present paper, we introduce a new modification of Szász-Mirakyan operators based on ( p , q ) $(p, q)$ -integers and investigate their approximation properties. We obtain weighted approximation and Voronovskaya-type theorem for new operators.
M Mursaleen +2 more
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ERGODIC THEOREMS AND APPROXIMATION THEOREMS WITH RATES
Taiwanese Journal of Mathematics, 2000 The paper devoted to the study of some strong ergodic theorems, uniform ergodic theorems and ergodic theorems with rates. It is diveded into five sections. The first section is an introduction. In the second section it is given a review of some results in connections with \(A\)-ergodic nets, which were firstly introduced in [\textit{S.-Y.
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Chernoff's Theorem and Discrete Time Approximations of Brownian Motion on Manifolds [PDF]
, 2004 O. G. Smolyanov +2 more
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A spectral strong approximation theorem for measure-preserving actions [PDF]
, 2018 Miklós Abért
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The Density of Primes Less or Equal to a Positive Integer up to 20,000: Fractal Approximation
Recoletos Multidisciplinary Research Journal, 2013 The highly irregular and rough fluctuations of the number of primes less or equal to a positive integer x for smaller values of x ( x≤20,000) renders the approximations through the Prime Number Theorem quite unreliable. A fractal probability distribution
Rodel B. Azura +3 more
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On the Convergence of a Family of Chlodowsky Type Bernstein-Stancu-Schurer Operators
Journal of Function Spaces, 2018 We construct a new family of univariate Chlodowsky type Bernstein-Stancu-Schurer operators and bivariate tensor product form. We obtain the estimates of moments and central moments of these operators, obtain weighted approximation theorem, establish ...
Lian-Ta Shu, Guorong Zhou, Qing-Bo Cai
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