Results 41 to 50 of about 1,534 (98)
On some non-conformal fractals
, 2010 This paper presents a simple method of calculating the Hausdorff dimension for a class of non-conformal ...
Gui Y +5 more
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Journal of Function Spaces, Volume 2026, Issue 1, 2026.In this paper, we study Riemann–Liouville fractional calculus of nonlinear hidden variable recurrent fractal interpolation function (HVRFIF) constructed based on Rakotch contraction, which is a generalization of Banach contraction. First, we prove that Riemann–Liouville fractional integral and derivative of HVRFIF based on Rakotch contraction are also ...
Chung-Il Ro +4 more
wiley +1 more source
A generalized formula of Hardy
International Journal of Mathematics and Mathematical Sciences, Volume 17, Issue 2, Page 369-378, 1994., 1994 We give new formulae applicable to the theory of partitions. Recent work suggests they also relate to quasi‐crystal structure and self‐similarity. Other recent work has given continued fractions for the type of functions herein. Hardy originally gave such formulae as ours in early work on gap power series which led to his and Littlewood′s High Indices ...
Geoffrey B. Campbell
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Intermediate Value Property for the Assouad Dimension of Measures
Analysis and Geometry in Metric Spaces, 2020 Hare, Mendivil, and Zuberman have recently shown that if X ⊂ ℝ is compact and of non-zero Assouad dimension dimA X, then for all s > dimA X, X supports measures with Assouad dimension s. We generalize this result to arbitrary complete metric spaces.
Suomala Ville
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Infant Mental Health Journal: Infancy and Early Childhood, Volume 46, Issue 1, Page 95-111, January 2025.Abstract We compared referrals and connection to care between perinatal patients: 90 receiving OB/GYN care in clinics with integrated behavioral health consultants with infant mental health specialization (IMH‐BHC), and 68 receiving traditional care, in the United States.
Jennifer M. Jester +8 more
wiley +1 more source
Spectral Properties of Continuum Fibonacci Schr\"odinger Operators
, 2017 We study continuum Schr\"odinger operators on the real line whose potentials are comprised of two compactly supported square-integrable functions concatenated according to an element of the Fibonacci substitution subshift over two letters.
Fillman, Jake, Mei, May
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Arcwise connected attractors of infinite iterated function systems
Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, 2014 The aim of this paper is to give a sufficient condition for the attractor of an infinite iterated function system to be arcwise connected.
Dumitru Dan
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Weighted Variable Exponent Sobolev spaces on metric measure spaces
Moroccan Journal of Pure and Applied Analysis, 2018 In this article we define the weighted variable exponent-Sobolev spaces on arbitrary metric spaces, with finite diameter and equipped with finite, positive Borel regular outer measure.
Hassib Moulay Cherif, Akdim Youssef
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A note on the hitting probabilities of random covering sets
, 2013 Let $E=\limsup\limits_{n\to\infty}(g_n+\xi_n)$ be the random covering set on the torus $\mathbb{T}^d$, where $\{g_n\}$ is a sequence of ball-like sets and $\xi_n$ is a sequence of independent random variables uniformly distributed on $\T^d$.
Li, Bing, Suomala, Ville
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Multidimensional self-affine sets: non-empty interior and the set of uniqueness
, 2016 Let $M$ be a $d\times d$ contracting matrix. In this paper we consider the self-affine iterated function system $\{Mv-u, Mv+u\}$, where $u$ is a cyclic vector.
Hare, Kevin G., Sidorov, Nikita
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