Results 11 to 20 of about 61,523 (203)
Metric Fourier Approximation of Set-Valued Functions of Bounded Variation [PDF]
Journal of Fourier Analysis and Applications, 2020 We introduce and investigate an adaptation of Fourier series to set-valued functions (multifunctions, SVFs) of bounded variation. In our approach we define an analogue of the partial sums of the Fourier series with the help of the Dirichlet kernel using ...
E. Berdysheva +3 more
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The Relation between Hölder Continuous Function of Order α ∈ (0,1) and Function of Bounded Variation
Journal of Physics: Conference Series, 2020 The Cantor ternary function is the most famous example of a continuous function of bounded variation for which it satisfies the Holder continuous function of order α = log3 2, but does not satisfy for order α = 1. In this paper, based on previous work of
S. Wibowo, V. Y. Kurniawan, Siswanto
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Проблемы анализа, 2020 We firstly examine some inequalities obtained by using sets of complex-valued functions for functions whose high order derivatives are restricted. We also give some approximations for the functions whose derivatives up to the order 𝑛−1 (𝑛 ≥ 1) are ...
S. Erden
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Bounded variation on the Sierpinski Gasket [PDF]
Fractals, 2020 Under certain continuity conditions, we estimate upper and lower box dimension of graph of a function defined on the Sierpinski gasket. We also give an upper bound for Hausdorff dimension and box dimension of graph of function having finite energy ...
S. Verma, A. Sahu
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Bivariate functions of bounded variation: Fractal dimension and fractional integral [PDF]
Indagationes mathematicae, 2019 In contrast to the univariate case, several definitions are available for the notion of bounded variation for a bivariate function. This article is an attempt to study the Hausdorff dimension and box dimension of the graph of a continuous function ...
S. Verma, P. Viswanathan
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Functions of bounded variation, the derivative of the one dimensional maximal function, and applications to inequalities [PDF]
, 2006 We prove that if f: I ⊂ R→ R is of bounded variation, then the uncentered maximal function Mf is absolutely continuous, and its derivative satisfies the sharp inequality ∥DMf∥ L 1(I) < |Df|(I). This allows us to obtain, under less regularity, versions of
J. M. Aldaz, J. Lázaro
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Integral representation of functions of bounded second Φ-variation in the sense of Schramm [PDF]
Opuscula Mathematica, 2012 In this article we introduce the concept of second \(\Phi\)-variation in the sense of Schramm for normed-space valued functions defined on an interval \([a,b] \subset \mathbb{R}\). To that end we combine the notion of second variation due to de la Vallée
José Giménez +2 more
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Which special functions of bounded deformation have bounded variation? [PDF]
Proceedings of the Royal Society of Edinburgh: Section A Mathematics, 2015 Functions of bounded deformation (BD) arise naturally in the study of fracture and damage in a geometrically linear context. They are related to functions of bounded variation (BV), but are less well understood.
S. Conti, M. Focardi, F. Iurlano
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Electronic Journal of Qualitative Theory of Differential Equations, 2018 The paper deals with the study of the existence of solutions of a quadratic integral equation of Volterra–Stieltjes type. We are looking for solutions in the class of real functions continuous and bounded on the real half-axis $\mathbb{R}_+$ and ...
Jozef Banas, Agnieszka Dubiel
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Demonstratio Mathematica, 2014 In this paper, we consider the Nemytskii operator (Hf)(t) = h(t, f(t)), generated by a given function h. It is shown that if H is globally Lipschitzian and maps the space of functions of bounded (p,2,α)-variation (with respect to a weight function α ...
Aziz Wadie
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