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 functions of bounded variation† [PDF]
Mathematical Proceedings of the Cambridge Philosophical Society, 2015 The 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 ...
Christoph Aistleitner +3 more
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Integral Representation of Functions of Bounded Variation
Journal of Mathematics, 2019 Functions of bounded variations form important transition between absolute continuous and singular functions. With Bainov’s introduction of impulsive differential equations having solutions of bounded variation, this class of functions had eventually ...
Z. Lipcsey +3 more
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On the trace operator for functions of bounded 𝔸-variation [PDF]
Analysis & PDE, 2017 In this paper, we consider the space $\mathrm{BV}^{\mathbb A}(\Omega)$ of functions of bounded $\mathbb A$-variation. For a given first order linear homogeneous differential operator with constant coefficients $\mathbb A$, this is the space of $L^1 ...
D. Breit, L. Diening, Franz Gmeineder
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Multiplication operators on the space of functions of bounded variation
Demonstratio Mathematica, 2017 In this paper,we study the properties of the multiplication operator acting on the bounded variation space BV[0, 1]. In particular,we show the existence of non-null compact multiplication operators on BV[0, 1] and non-invertible Fredholm multiplication ...
Astudillo-Villalba Franklin R. +1 more
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Some Inequalities for Functions of Bounded Variation with Applications to Landau Type Results [PDF]
, 2006 Some inequalities for functions of bounded variation that provide reverses for the inequality between the integral mean and the p−norm for p Є [1,∞] are established.
Dragomir, Sever S, S.S. Dragomir
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Journal of Inequalities and ApplicationsThis paper develops weighted Euler–Maclaurin-type inequalities using Riemann–Liouville fractional integrals for classes of differentiable convex functions and functions of bounded variation.
Areej A. Almoneef +3 more
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Some Landau Type Inequalities for Functions Whose Derivatives are of Locally Bounded Variation [PDF]
, 2005 Some inequalities of the Landau type for functions whose derivatives are of locally bounded variation are pointed ...
Dragomir, Sever S, Barnett, Neil S
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Approximating Real Functions Which Possess n-th Derivatives of Bounded Variation and Applications [PDF]
, 2007 The main aim of this paper is to provide an approximation for the function f which possesses continuous derivatives up to the order n−1 (n ≥ 1) and has the n−th derivative of bounded variation, in terms of the chord that connects its end points A = (a,
Dragomir, Sever S
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Convergence in distribution of the Bernstein-Durrmeyer kernel and pointwise convergence of a generalised operator for functions of bounded variation [PDF]
Journal of Approximation Theory, 2023 We study the convergence of Bernstein type operators leading to two results. The first: The kernel $K_n$ of the Bernstein-Durrmeyer operator at each point $x \in (0, 1)$ $\unicode{x2013}$ that is $K_n(x, t) dt$ $\unicode{x2013}$ once standardised ...
Mohammed Taariq Mowzer
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