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An approximation theorem for sequences of linear strains and its applications

Kewei Zhang (2004)

ESAIM: Control, Optimisation and Calculus of Variations

We establish an approximation theorem for a sequence of linear elastic strains approaching a compact set in $L^{1}$ by the sequence of linear strains of mapping bounded in Sobolev space $W^{1, p}$ . We apply this result to establish equalities for semiconvex envelopes for functions defined on linear strains via a construction of quasiconvex functions with linear growth.

An approximation theorem for sequences of linear strains and its applications

Kewei Zhang (2010)

ESAIM: Control, Optimisation and Calculus of Variations

We establish an approximation theorem for a sequence of linear elastic strains approaching a compact set in L1 by the sequence of linear strains of mapping bounded in Sobolev space W1,p . We apply this result to establish equalities for semiconvex envelopes for functions defined on linear strains via a construction of quasiconvex functions with linear growth.

Currently displaying 241 – 260 of 467

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Displaying 241 – 260 of 467

An approximation theorem for sequences of linear strains and its applications

An approximation theorem for sequences of linear strains and its applications

An asymptotic confluent expansion for certain functions of several variables

An asymptotic expansion for a ratio of products of gamma functions.

An asymptotic expansion for the Bernoulli numbers of the second kind.

An asymptotic expansion for the Catalan-Larcombe-French sequence.

An Efficient Method for Calculating Smoothing Splines Using Orthogonal Transformations.

An Elementary Algebraic Representation of Polynomial Spline Interpolants for Equidistant Lattices and its Condition.

An elementary proof of the inverse theorem for Bernstein polynomials.

An elementary proof of the preservation of Lipschitz constants by the Meyer-König and Zeller operators.

An error analysis for absolute and relative approximation.

An Error Estimate for Gauss-Jacobi Quadrature Formula with the Hermite Weight W(x)=exp(-x2)

An error expansion for cubature with an integrand with homogeneous boundary singularities.

An essay on the Interpolation Theorem of Józef Marcinkiewicz - Polish patriot

An estimate for the least uniform deviation from the class of functions with bounded second derivative.

An Estimate Of The Rate Of Convergence For Modified Szász-Mirakyan Operators Of Function Of Bounded Variation

An exact estimate for approximation of a class of convex functions by Szasz-Mirakian operators in L_1 norm

An example related to Whitney extension with almost minimal $C^{m}$ norm.

An extension of a best approximation theorem.

An extension of a theorem of Sahab, Khan, and Sessa.

Currently displaying 241 – 260 of 467