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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Bounded Variation Separates Weak and Strong Average Lipschitz [PDF]
EntropyWe closely examine a recently introduced notion of average smoothness. The latter defined a weak and strong average-Lipschitz seminorm for real-valued functions on general metric spaces.
Ariel Elperin, Aryeh Kontorovich
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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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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
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Generalizations of Weighted Trapezoidal Inequality for Mappings of Bounded Variation and their Applications [PDF]
, 2003 In this paper, we establish some generalizations of weighted trapezoid inequality for mappings of bounded variation, and give several applications for r − moment, the expectation of a continuous random variable and the Beta ...
Yang, Gou-Sheng +2 more
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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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Capacity and the Corresponding Heat Semigroup Characterization from Dunkl-Bounded Variation
Fractal and Fractional, 2021 In this paper, we study some important basic properties of Dunkl-bounded variation functions. In particular, we derive a way of approximating Dunkl-bounded variation functions by smooth functions and establish a version of the Gauss–Green Theorem.
Xiangling Meng, Yu Liu, Xiangyun Xie
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Error Estimates for Approximating the Fourier Transform of Functions of Bounded Variation [PDF]
, 2004 In this paper we point out an approximation for the Fourier transform for functions of bounded variation and study the approximation error of certain associated quadrature ...
Hanna, George T +2 more
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Nonlocal boundary value problems with BV-type data
Electronic Journal of Qualitative Theory of Differential Equations, 2020 In this paper we present some existence and uniqueness results for solutions of second order boundary value problems, which are functions of bounded variation along with their derivatives.
Jürgen Appell +2 more
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Some convergence results for nonlinear Baskakov-Durrmeyer operators
Karpatsʹkì Matematičnì Publìkacìï, 2023 This paper is an introduction to a sequence of nonlinear Baskakov-Durrmeyer operators $(NBD_{n})$ of the form \[ (NBD_{n})(f;x) =\int_{0}^\infty K_{n}(x,t,f(t))\,dt \] with $x\in [0,\infty)$ and $n\in\mathbb{N}$.
H.E. Altin
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