Results 11 to 20 of about 512,505 (318)
Ostrowski type inequalities for sets and functions of bounded variation [PDF]
Journal of Inequalities and Applications, 2017 In this paper we obtain sharp Ostrowski type inequalities for multidimensional sets of bounded variation and multivariate functions of bounded variation.
Oleg V Kovalenko
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ON THE DERIVATIVES OF FUNCTIONS OF BOUNDED VARIATION [PDF]
Real Analysis Exchange, 2000 Using a standard complete metric $w$ on the set $F$ of continuous functions of bounded variation on the interval $[0,1]$, we find that a typical function in $F$ has an infinite derivative at continuum many points in every subinterval of $[0,1]$.
Cater
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Variation bounds for spherical averages [PDF]
Mathematische Annalen, 2021 51 pages, 11 figures. Revised version incorporating referee's suggestions.
Richard Oberlin +5 more
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Composing functions of bounded variation [PDF]
Proceedings of the American Mathematical Society, 1981 Michael Josephy
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A Bound for the Variation of Gaussian Densities [PDF]
The Annals of Mathematical Statistics, 1969 Schwartz and Root [5] used Mehler's identity to obtain a bound for the integral of the absolute difference between the bivariate Gaussian density function and the product of its corresponding marginal densities. The result was also extended to the case of two dependent Gaussian vectors.
S. Kullback
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On functions of bounded variation [PDF]
Mathematical Proceedings of the Cambridge Philosophical Society, 2016 AbstractThe recently introduced concept of ${\mathcal D}$-variation unifies previous concepts of variation of multivariate functions. In this paper, we give an affirmative answer to the open question from [20] whether every function of bounded Hardy–Krause variation is Borel measurable and has bounded ${\mathcal D}$-variation.
Aistleitner, Christoph +3 more
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Bounded variation in the mean [PDF]
Proceedings of the American Mathematical Society, 2000 It is shown that the concept of bounded variation in the mean is not a meaningful generalization of ordinary bounded variation. In fact, it is a characterization of functions which differ from functions of bounded variation on a zero set. Let f be a real-valued function in L1 on the circle group T. We define the corresponding interval function by f (I)
Pamela Pierce, Daniel Waterman
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On integral bounded variation [PDF]
Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A. Matemáticas, 2017 In this paper we will investigate the concept of the q-integral p-variation introduced in 1970’s by Terehin. This kind of integral variation has been mainly used, until now, to describe the regularity of functions in $$L^p$$
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BOUNDED VARIATION ON THE SIERPIŃSKI GASKET
Fractals, 2022 Under certain continuity conditions, we estimate upper and lower box dimensions of the graph of a function defined on the Sierpiński gasket. We also give an upper bound for Hausdorff dimension and box dimension of the graph of a function having finite energy.
Verma, S., Sahu, A.
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