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Bounded variation and the strength of Helly's selection theorem
Published 2014-12-01“…We analyze the strength of Helly's selection theorem HST, which is the most important compactness theorem on the space of functions of bounded variation. For this we utilize a new representation of this space intermediate between $L_1$ and the Sobolev space W1,1, compatible with the, so called, weak* topology. …”
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On the Domain of Nörlund Matrix in the Space of Bounded Variation Sequences
Published 2017-12-01Subjects: “…Bounded Variation…”
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Generalization of Szász operators: quantitative estimate and bounded variation
Published 2021-12-01“…Convergence in variation of the operators in the space of functions with bounded variation with respect to the variation seminorm is obtained. …”
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Riemann–Liouville Fractional Sobolev and Bounded Variation Spaces
Published 2022-01-01Subjects: Get full text
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Some Bounds for the Complex Čebyšev Functional of Functions of Bounded Variation
Published 2021-06-01Subjects: Get full text
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The bounded variation capacity and Sobolev-type inequalities on Dirichlet spaces
Published 2024-02-01“…In this article, we consider the bounded variation capacity (BV capacity) and characterize the Sobolev-type inequalities related to BV functions in a general framework of strictly local Dirichlet spaces with a doubling measure via the BV capacity. …”
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On the rate of convergence of Baskakov-Kantorovich-Bézier operators for bounded variation functions
Published 2002-08-01Subjects: Get full text
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Bounded variation of functions defined on a convex and compact set in the plane
Published 2023-12-01Subjects: Get full text
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On the rate of convergence of Baskakov-Kantorovich-Bézier operators for bounded variation functions
Published 2002-08-01Subjects: Get full text
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Capacity and the Corresponding Heat Semigroup Characterization from Dunkl-Bounded Variation
Published 2021-12-01Subjects: “…functions of bounded variation…”
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Uniqueness for the signature of a path of bounded variation and the reduced path group
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<b><i>p</i>-Bounded variation fuzzy real-valued double sequence space</b> - doi: 10.4025/actascitechnol.v35i2.15613
Published 2013-04-01Subjects: “…bounded variation…”
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Optimal error estimates for Legendre expansions of singular functions with fractional derivatives of bounded variation
Published 2022“…We present a new fractional Taylor formula for singular functions whose Caputo fractional derivatives are of bounded variation. It bridges and “interpolates” the usual Taylor formulas with two consecutive integer orders. …”
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Grüss-Type Inequalities for Vector-Valued Functions
Published 2022-05-01Subjects: Get full text
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Nonlocal boundary value problems with BV-type data
Published 2020-12-01Subjects: Get full text
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Erratum to: A new Ostrowski type inequality for functions whose first derivatives are of bounded variation
Published 2016-06-01Get full text
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On Some New Fractional Ostrowski- and Trapezoid-Type Inequalities for Functions of Bounded Variations with Two Variables
Published 2021-09-01Subjects: Get full text
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