Results 11 to 20 of about 1,902,060 (282)
Fractional Sobolev Inequalities: Symmetrization, Isoperimetry and Interpolation [PDF]
, 2014 We obtain new oscillation inequalities in metric spaces in terms of the Peetre $K-$functional and the isoperimetric profile. Applications provided include a detailed study of Fractional Sobolev inequalities and the Morrey-Sobolev embedding theorems in ...
Martin, Joaquim, Milman, Mario
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Weighted Approximation of functions on the unit sphere [PDF]
, 2002 The direct and inverse theorems are established for the best approximation in the weighted $L^p$ space on the unit sphere of $\RR^{d+1}$, in which the weight functions are invariant under finite reflection groups.
Xu, Yuan
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Structured Space-Sphere Point Processes and K-Functions [PDF]
Methodology and Computing in Applied Probability, 2019 This paper concerns space-sphere point processes, that is, point processes on the product space of $\mathbb R^d$ (the $d$-dimensional Euclidean space) and $\mathbb S^k$ (the $k$-dimen\-sional sphere). We consider specific classes of models for space-sphere point processes, which are adaptations of existing models for either spherical or spatial point ...
Jesper Møller +3 more
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Topological analysis of scalar fields with outliers [PDF]
, 2015 Given a real-valued function $f$ defined over a manifold $M$ embedded in $\mathbb{R}^d$, we are interested in recovering structural information about $f$ from the sole information of its values on a finite sample $P$.
Buchet, Mickaël +5 more
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Regions of KCNQ K+ Channels Controlling Functional Expression
Frontiers in Physiology, 2012 KCNQ1-5 α-subunits assemble to form K+ channels that play critical roles in the function of numerous tissues. The channels are tetramers of subunits containing six transmembrane domains.
Frank eChoveau, Mark S Shapiro
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Comprehensive–Comparative study of fracture distal end radius with plating and K-Wire fixation
Journal of Orthopaedic Diseases and Traumatology, 2021 Introduction: Distal end radius fracture is a common fracture seen in the routine orthopedic outpatient department. The optimal management of distal radius fractures remains controversial.
Randir Kumar, Nand Kumar, Ashutosh Kumar
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Structural and Functional Analysis of the Cdk13/Cyclin K Complex
Cell Reports, 2016 Cyclin-dependent kinases regulate the cell cycle and transcription in higher eukaryotes. We have determined the crystal structure of the transcription kinase Cdk13 and its Cyclin K subunit at 2.0 Å resolution.
Ann Katrin Greifenberg +8 more
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On the K functional between L1 and L2 and some other K functionals
Journal of Approximation Theory, 1986 An explicit formula for the K-functional between \(L^ 1\) and \(L^ 2\) is given. It was suggested by and contains as a special case the Valiron- Landau lemma in function theory [see \textit{P. Duren}, Univalent functions (1983; Zbl 0514.30001), pp. 104-105]. (The preface contains also an anecdote about G.
Nilsson, Per, Peetre, Jaak
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On Various Moduli of Smoothness and K-Functionals [PDF]
Ukrainian Mathematical Journal, 2020 In this paper, exact rate of approximation of functions by linear means of Fourier series and Fourier integrals and corresponding $K$-functionals are expressed via special moduli of smoothness. . Introduction is given in $ 1$. In $\S2$ functions on the line $\mathbb{R}$ are studied.
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General Holmstedt’s Formulae for the K-Functional
Journal of Function Spaces, 2017 Explicit formulae for the K-functional for the general couple ((A0,A1)Φ0,(A0,A1)Φ1), where (A0,A1) is a compatible couple of quasi-normed spaces, are proved. As a consequence, the corresponding reiteration theorems are derived.
Irshaad Ahmed +2 more
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