Results 21 to 30 of about 29,967 (292)
New Generalized Inequalities for Functions of Bounded Variation
Cumhuriyet Science Journal, 2018 In this paper, firstly we obtain some generalized trapezoid and midpointtype inequalities for functions of bounded variation using two new generalized identitiesfor Riemann-Stieltjes integrals. Then quadrature formula is also provided.
Mehmet Zeki Sarıkaya, Hüseyin Budak
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On new Milne-type inequalities for fractional integrals
Journal of Inequalities and Applications, 2023 In this study, fractional versions of Milne-type inequalities are investigated for differentiable convex functions. We present Milne-type inequalities for bounded functions, Lipschitz functions, functions of bounded variation, etc., found in the ...
Hüseyin Budak +2 more
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Topologies and measures on the space of functions of bounded variation taking values in a Banach or metric space [PDF]
, 2018 We study functions of bounded variation with values in a Banach or in a metric space. In finite dimensions, there are three well-known topologies; we argue that in infinite dimensions there is a natural fourth topology.
Heida, Martin +2 more
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On Functions of Bounded (p,k)-Variation
Journal of Function Spaces and Applications, 2012 We introduce and study the concept of (p,k)-variation ...
N. Merentes, S. Rivas, J. L. Sanchez
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Computable Jordan Decomposition of Linear Continuous Functionals on $C[0;1]$ [PDF]
Logical Methods in Computer Science, 2014 By the Riesz representation theorem using the Riemann-Stieltjes integral, linear continuous functionals on the set of continuous functions from the unit interval into the reals can either be characterized by functions of bounded variation from the unit ...
Klaus Weihrauch, Tahereh Jafarikhah
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Some Bounds for the Complex Čebyšev Functional of Functions of Bounded Variation [PDF]
Symmetry, 2021 In this paper, we provide several bounds for the modulus of the complex Čebyšev functional. Applications to the trapezoid and mid-point inequalities, that are symmetric inequalities, are also provided.
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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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On the Lp-differentiability of certain classes of functions [PDF]
, 2014 We prove the $L^p$-differentiability at almost every point for convolution products on $R^d$ of the form $K*\mu$, where $\mu$ is bounded measure and $K$ is a homogeneous kernel of degree $1-d$.
Crippa, Gianluca +7 more
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Functions of Bounded kth p-Variation and Continuity Modulus
Journal of Function Spaces, 2015 A scale of spaces exists connecting the class of functions of bounded kth p-variation in the sense of Riesz-Merentes with the Sobolev space of functions with p-integrable kth derivative.
Odalis Mejía, Pilar Silvestre
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The Lipschitz Truncation of Functions of Bounded Variation [PDF]
, 2021 Breit D, Diening L, Gmeineder F. The Lipschitz Truncation of Functions of Bounded Variation. Indiana University Mathematics Journal . 2021;70(6):2237-2260.We construct a Lipschitz truncation which approximates functions of bounded variation in the area ...
Breit, Dominic +2 more
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