Results 21 to 30 of about 401,077 (273)
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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The Lipschitz truncation of functions of bounded variation [PDF]
Indiana University Mathematics Journal, 2021 We construct a Lipschitz truncation which approximates functions of bounded variation in the area-strict metric. The Lipschitz truncation changes the original function only on a small set similar to Lusin's theorem. Previous results could only give estimates on the Lebesgue measure of the set where the Lipschitz approximations differ from the original ...
Breit, Dominic +2 more
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Functions of Bounded κφ-Variation in the Sense of Riesz-Korenblum
Journal of Function Spaces and Applications, 2013 We present the space of functions of bounded κφ-variation in the sense of Riesz-Korenblum, denoted by κBVφ[a,b], which is a combination of the notions of bounded φ-variation in the sense of Riesz and bounded κ-variation in the sense of Korenblum ...
Mariela Castillo +3 more
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Regularity of the Hardy-Littlewood maximal operator on block decreasing functions
, 2009 We study the Hardy-Littlewood maximal operator defined via an unconditional norm, acting on block decreasing functions. We show that the uncentered maximal operator maps block decreasing functions of special bounded variation to functions with integrable
Aldaz, J. M., Lazaro, J. Perez
core +1 more source
Functions of locally bounded variation on Wiener spaces
, 2014 We introduce the concept of functions of locally bounded variation on abstract Wiener spaces and study their properties. Some nontrivial examples and applications to stochastic analysis are also discussed.Comment: 20 pages, accepted for ...
Hino, Masanori
core +1 more source
Piecewise affine approximations for functions of bounded variation
, 2015 BV functions cannot be approximated well by piecewise constant functions, but this work will show that a good approximation is still possible with (countably) piecewise affine functions.
Kristensen, Jan, Rindler, Filip
core +1 more source
Decomposition of Functions of Bounded Variation
The Annals of Probability, 1975 Cramer's theorem, that a normal distribution function $(\operatorname{df})$ has only normal components, is extended to a case where the components are allowed to be from a subclass $(B_1)$ of the functions of bounded variation other than the class of df's.
openaire +3 more sources
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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Clinical Insights Into Hypercalcemia of Malignancy in Childhood
Pediatric Blood &Cancer, EarlyView.ABSTRACT Hypercalcemia of malignancy (HCM) is a rare but life‐threatening metabolic emergency in children that occurs in less than 1% of pediatric cancer cases, with a reported incidence ranging from 0.4% to 1.0% across different studies. While it is observed in 10%–20% of adult malignancies, pediatric HCM remains relatively uncommon.
Hüseyin Anıl Korkmaz
wiley +1 more source
Exploring error estimates of Newton-Cotes quadrature rules across diverse function classes
Journal of Inequalities and ApplicationsThis in-depth study looks at symmetric four-point Newton-Cotes-type inequalities with a focus on error estimates for numerical integration. The precision of these estimates is explored across various classes of functions, including those with bounded ...
Abdelghani Lakhdari +4 more
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