Results 11 to 20 of about 6,885,149 (320)
Generalized Fejér–Hermite–Hadamard type via generalized (h−m)-convexity on fractal sets and applications [PDF]
, 2021 In this article, we define a new class of convexity called generalized (h −m)-convexity, which generalizes h-convexity and m-convexity on fractal set R (0 < α ≤ 1). Some properties of this new class are discussed.
O. Almutairi, Adem Kılıçman
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Set-Valued $$\alpha $$-Fractal Functions
Constructive Approximation, 2023 In this paper, we introduce the concept of the $\alpha$-fractal function and fractal approximation for a set-valued continuous map defined on a closed and bounded interval of real numbers. Also, we study some properties of such fractal functions. Further, we estimate the perturbation error between the given continuous function and its $\alpha$-fractal ...
Pandey, Megha +2 more
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Additive and geometric transversality of fractal sets in the integers [PDF]
Journal of the London Mathematical Society, 2020 By juxtaposing ideas from fractal geometry and dynamical systems, Furstenberg proposed a series of conjectures in the late 1960's that explore the relationship between digit expansions with respect to multiplicatively independent bases.
Daniel Glasscock +2 more
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Mathematics, 2023 In the present work, we introduce two new local fractional integral operators involving Mittag–Leffler kernel on Yang’s fractal sets. Then, we study the related generalized Hermite–Hadamard-type inequality using generalized (E,h)-convexity and obtain two
Wedad Saleh +3 more
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Tilings, Quasicrystals, Discrete Planes, Generalized Substitutions, and Multidimensional Continued Fractions [PDF]
Discrete Mathematics & Theoretical Computer Science, 2001 The aim of this paper is to give an overview of recent results about tilings, discrete approximations of lines and planes, and Markov partitions for toral automorphisms.The main tool is a generalization of the notion of substitution.
Pierre Arnoux +3 more
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From Fractal Groups to Fractal Sets [PDF]
, 2003 This paper is a survey, with few proofs, of ideas and notions related to self-similarity of groups, semi-groups and their actions. It attempts to relate these concepts to more familiar ones, such as fractals, self-similar sets, and renormalizable dynamical systems.
Bartholdi, Laurent +2 more
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Advances in Differential Equations, 2020 The present article addresses the concept of p-convex functions on fractal sets. We are able to prove a novel auxiliary result. In the application aspect, the fidelity of the local fractional is used to establish the generalization of Simpson-type ...
T. Abdeljawad +4 more
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Analysis of fractal-fractional model of tumor-immune interaction
Results in Physics, 2021 Recently, Atangana proposed new operators by combining the fractional and fractal calculus. These recently proposed operators, referred to as fractal-fractional operators, have been widely used to study the complex dynamics of a problem.
Shabir Ahmad +4 more
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Spherical maximal functions and fractal dimensions of dilation sets [PDF]
American Journal of Mathematics, 2020 :For the spherical mean operators $\scr{A}_t$ in $\Bbb{R}^d$, $d\ge 2$, we consider the maximal functions $M_Ef=\sup_{t\in E}|\scr{A}_t f|$, with dilation sets $E\subset [1,2]$.
J. Roos, A. Seeger
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Angular projections of fractal sets [PDF]
Europhysics Letters (EPL), 1997 We discuss various questions which arise when one considers the central projection of three dimensional fractal sets (galaxy catalogs) onto the celestial globe. The issues are related to how fractal such projections look. First we show that the lacunarity in the projection can be arbitrarily small.
Durrer R +7 more
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