Results 1 to 10 of about 43,304 (241)

Metric Entropy for Functions of Bounded Total Generalized Variation [PDF]

SIAM Journal on Mathematical Analysis, 2021
26
Capuani, Rossana, Dutta, Prerona, Nguyen, Khai T.   +2 more
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Relations between some classes of functions of generalized bounded variation [PDF]

Banach Center Publications, 2014
We prove inclusion relations between generalized Waterman's and generalized Wiener's classes for functions of two variable.
Gogatishvili, A. (Amiran), Goginava, U., Tephnadze, G.   +2 more
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Entropy Solution Theory for Fractional Degenerate Convection-Diffusion Equations [PDF]

, 2010
We study a class of degenerate convection diffusion equations with a fractional nonlinear diffusion term. These equations are natural generalizations of anomalous diffusion equations, fractional conservations laws, local convection diffusion equations ...
Alibaud, Alibaud, Alibaud, Applebaum, Biler, Bustos, Caffarelli, Carrillo, Clavin, Cockburn, Cont, Crandall, Dafermos, de Pablo, Dedner, Droniou, Droniou, Droniou, Espedal, Espen R. Jakobsen, Evans, Evje, Eymard, Fleming, Holden, Jakobsen, Jakubowski, Jue, Karlsen, Kiselev, Kružkov, Lions, Oleĭnik, Rohde, Serre, Simone Cifani, Vazquez, Whitham, Woyczyński   +38 more
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Higher-dimensional generalizations of the Berry curvature [PDF]

, 2020
A family of finite-dimensional quantum systems with a nondegenerate ground state gives rise to a closed two-form on the parameter space, the curvature of the Berry connection.
Kapustin, Anton, Spodyneiko, Lev
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Cauchy's functional equation and extensions: Goldie's equation and inequality, the Go{\l}\k{a}b-Schinzel equation and Beurling's equation [PDF]

, 2014
The Cauchy functional equation is not only the most important single functional equation, it is also central to regular variation. Classical Karamata regular variation involves a functional equation and inequality due to Goldie; we study this, and its ...
Bingham, N. H., Ostaszewski, A. J.
core   +2 more sources

Convergence of Multiple Fourier Series of Functions of Bounded Generalized Variation [PDF]

Ukrainian Mathematical Journal, 2015
The paper introduces a new concept of $ $-variation of multivariable functions and investigates its connection with the convergence of multidimensional Fourier ...
Goginava, U., Sahakian, A.
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New Generalized Inequalities for Functions of Bounded Variation

Cumhuriyet Science Journal, 2018
In this paper, firstly we obtain some generalized trapezoid and midpoint type inequalities for functions of bounded variation using two new generalized identities for Riemann-Stieltjes integrals. Then quadrature formula is also provided.
BUDAK, Hüseyin, SARIKAYA, Mehmet Zeki
openaire   +4 more sources

On the Convolution of Functions of Generalized Bounded Variations [PDF]

Georgian Mathematical Journal, 2006
Abstract Let 𝑓 and 𝑔 be 2π periodic functions. If 𝑓 ∈ 𝐿1[0, 2π] and 𝑔 is from ∧ 𝐵𝑉(𝑝)[0, 2π] or, Lip(α, 𝑝)[0, 2π] or, 𝑟 – 𝐵𝑉 [0, 2π], then 𝑓 convolution 𝑔 inherit the same property.
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Mixed spatially varying $L^2$-BV regularization of inverse ill-posed problems [PDF]

, 2014
Several generalizations of the traditional Tikhonov-Phillips regularization method have been proposed during the last two decades. Many of these generalizations are based upon inducing stability throughout the use of different penalizers which allow the ...
Mazzieri, Gisela L., Spies, Ruben D., Temperini, Karina G.   +2 more
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Generalized Integrals with Respect to Functions of Bounded Variation [PDF]

Canadian Journal of Mathematics, 1958
A considerable literature has grown up around the analysis of the structure of a function in terms of its derivative, and the structure of functions F(x) which are integrals of various kinds. Some of this relates to derivatives and integrals of F(x) with respect to functions of bounded variation ω(x) (1-6) or, in the case of a paper by Ward (4), with ...
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