Results 121 to 130 of about 173,284,203 (287)
, 2012 S. Pichugov: ORCID 0000-0002-4263-4429EN: Abstract—It is proved that, in the space C2π, for all k,n ∈ N, n > 1, the following inequalities hold: 1 − 1 2n k2 + 1 2 ≤ sup f∈C2π f=const en−1(f) ω2(f,π/(2nk)) ≤ k2 + 1 2 .
Pichugov, Sergey A.
core +1 more source
Dunkl analogue of Szász-mirakjan operators of blending type
Open Mathematics, 2018 In the present work, we construct a Dunkl generalization of the modified Szász-Mirakjan operators of integral form defined by Pǎltanea [1]. We study the approximation properties of these operators including weighted Korovkin theorem, the rate of ...
Deshwal Sheetal +2 more
doaj +1 more source
3D‐Printed Gradient Shape‐Memory Strain Sensors With Rewritable Gauge Factors
Advanced Functional Materials, EarlyView.A 3D‐printed shape‐memory strain sensor combines thermomechanical programming with gradient architectural design. Preset strain rewrites the gauge factor (GF), while the gradient geometry amplifies the response through strain redistribution. Reprogrammable sensitivity enables the same sensor to detect weak pulse signals and monitor large‐amplitude ...
Xuan Zhang +10 more
wiley +1 more source
Realization and characterization of modulus of smoothness in weighted Lebesgue spaces
, 2013 We obtain a characterization of modulus of smoothnes of fractional order in the Lebesgue spaces \(L_{\omega}^{p}\), \(1 < p < \infty\), with weights \(\omega\) satisfying the Muckenhoupt’s \(A_{p}\) condition.
AKGÜN, R.
core
Advanced Functional Materials, EarlyView.For the first time, an extreme‐thick laser‐arc PVD ta‐C (DLC) coating exceeding 100 µm is demonstrated, opening up new possibilities for ultra‐high load bearing capacity. This superhard amorphous carbon architecture combines >50% sp3 bonding, robust adhesion and self‐supporting performance, shielding substrates from plastic flow under extreme contact ...
Martin Zawischa +3 more
wiley +1 more source
, 2017 In this chapter we continue with the study of generalized discrete singular operators over the real line regarding their simultaneous global smoothness preservation property with respect to Lp-norm for 1 ≤ p ≤ ∞, by involving higher order moduli of ...
Kester, Merve, Anastassiou, George A.
core +1 more source
Intracrystalline Void‐Mediated Toughening of Brittle Crystals in Quail Eggshells
Advanced Functional Materials, EarlyView.In quail eggshells, the high density and disordered arrangement of intracrystalline voids inhibit lattice cleavage, suppress long‐range crack propagation, and promote deformation twinning and quasi‐plasticity, serving as an essential toughening motif. We show that these voids remain within a narrow subcritical size range and therefore predominantly do ...
Jingxiao Zhong +16 more
wiley +1 more source
Ul'anov type inequalities for moduli of smoothness
, 2012 Let T denote the interval [-?, ?]. In this work we investigate the inequality of Ul'yanov type for moduli of smoothness of an integer order in the Lp (T), p ? 1 spaces.
Jafarov, S.
core
On Best Multiplier Approximation of k-Monotone by Trigonometric Polynomial
Al-Mustansiriyah Journal of ScienceThe main goal of this paper is to study the degree of the best multiplier approximation of monotone unbounded functions in L_(p,λ_n)-space on the closed interval [-π,π] by means of K-functional, which we represented with, K(f,L_(p,λ_n ),W_(p,λ_n)^1,W ̃_(
Saheb K. Al-Saidy +3 more
doaj +1 more source
On the equivalence of the modulus of smoothness and the K-functional over convex domains
Journal of Approximation Theory, 2010 It is well known that for any bounded Lipschitz graph domain \(\Omega\subset\mathbb R^d,r\geq 1\) and \(1\leq p\leq \infty\) there exist constants \(C_1(d,r), C_2(\Omega,d,r,p)>0\) such that for any function \(f\in L_p(\Omega)\) for \(t>0\) \[ C_1(d,r)\omega_r(f,t)_p\leq K_r(f,t^r)_p\leq C_2(\Omega,d,r,p)\omega_r(f,t)_p, \] where \(\omega_r(f,t)_p\) is
openaire +1 more source