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Sharp two-sided estimates of the approximation and entropy numbers of integral operators on the semiaxisSummary: "We give a short survey on sharp two-sided estimates of the singular, approximation
Some new two-sided inequalities concerning the fourier transform. In this paper we prove that if we restrict to net spaces we can even derive a two-sided estimate for all p > 1
Two-sided estimate for the modulus of continuity of a convolution of the convolution. By way of application, we present two-sided estimates for the modulus of continuity
Second-Order Two-Sided Estimates in Nonlinear Elliptic Problems with p∈ (1 , ∞) and a square-integrable right-hand side. Our results provide a nonlinear counterpart
On two-sided and asymptotic estimates for the norms of embedding operators of W̊2 n(-1, 1) into Lq(dμ)Explicit upper and lower estimates are given for the norms of the operators of embedding of W̊2 n
A two-sided estimate for the minimal norm of the extension operator for Sobolev spaces. The authors estimate the minimal norm of extension operators W^l_p(Omega)to W^l_p({bf R}^n), lin{bf N}, 1leq
An extremal property of Jacobi polynomials in two-sided chernoff-type inequalities for higher order derivativesFor a weight function generating the classical Jacobi polynomials, the sharp double estimate
Order-sharp estimates for Hardy-type operators on cones of quasimonotone functionsSummary: "The two-sided estimates are obtained for two types of generalized Hardy operators
Two-sided estimates of solutions with a blow-up mode for a nonlinear heat equation with a quadratic sourceTwo-sided estimates of solutions with a blow-up mode for a nonlinear heat equation with a quadratic
Empirical estimation of d-risks at distinguishing one-sided hypotheses© 2016, Pleiades Publishing, Ltd.This paper deals with problem of distinguishing between the two
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