We present a higher order stabilization-free virtual element method applied to plane elasticity problems. utilize serendipity approach reduce the total number of degrees freedom from corresponding high-order approximations. The well-posedness problem is numerically studied via an eigenanalysis. then several benchmark problems linear and we show that delivers optimal convergence rates in $L^2$ n...

The aim of this paper is to provide new upper bounds ω(T), which denotes the numerical radius a bounded operator T on Hilbert space (H,⟨·,·⟩). We show Aczél inequality in terms |T|. Next, we give certain inequalities about A-numerical ωA(T) and A-operator seminorm ∥T∥A an T. also present several results related 2×2 block matrices semi-Hilbert operators, by using symmetric matrices.

in this paper, we study spacelike dual biharmonic curves. we characterize spacelike dual biharmonic curves in terms of their curvature and torsion in the lorentzian dual heisenberg group . we give necessary and sufficient conditions for spacelike dual biharmonic curves in the lorentzian dual heisenberg group . therefore, we prove that all spacelike dual biharmonic curves are spacelike dual heli...

Let $$r_A(T)$$ denote the A-spectral radius of an operator T which is bounded with respect to seminorm induced by a positive A on complex Hilbert space $${\mathcal {H}}$$ . In this paper, we aim establish several inequalities for products, sums and commutators A-bounded operators. Some applications our results are provided. Moreover, give affirmative answer question recently posed Baklouti Namo...

Abstract In this manuscript two BMO estimates are obtained, one for Linear Elasticity and Nonlinear Elasticity. It is first shown that the BMO-seminorm of gradient a vector-valued mapping bounded above by constant times symmetric part its gradient, is, Korn inequality in BMO. The uniqueness equilibrium finite deformation whose principal stresses everywhere nonnegative then considered. when seco...

In this paper, we introduce the concept of $g$-dual frames for Hilbert $C^{*}$-modules, and then the properties and stability results of $g$-dual frames  are given.  A characterization of $g$-dual frames, approximately dual frames and dual frames of a given frame is established. We also give some examples to show that the characterization of $g$-dual frames for Riesz bases in Hilbert spaces is ...

In this paper we address two questions about the synchronization of coupled oscillators in Kuramoto model with all-to-all coupling. first part use some classical results convex geometry to prove bounds on size frequency set supporting existence stable, phase locked solutions and show that such frequencies can be expressed by a seminorm which call norm. second ideas from extreme order statistics...

For arbitrary w : R → [0, 1] the general form of the continuous linear functionals on the space C 0 w of all functions f continuous on the real line, lim |x|→+∞ w(x)f (x) = 0 , equipped with seminorm ||f || w := sup x∈R w(x)|f (x)| , is found. The weighted analog of the Weierstrass polynomial approximation theorem and a new version of M.G. Krein's theorem about partial fraction decomposition of...