Results 31 to 40 of about 54,190 (232)
A Levinson-Galerkin algorithm for regularized trigonometric approximation
, 1999 Trigonometric polynomials are widely used for the approximation of a smooth function $f$ from a set of nonuniformly spaced samples $\{f(x_j)\}_{j=0}^{N-1}$.
Strohmer, Thomas
core +3 more sources
C1 rational quadratic trigonometric spline
Egyptian Informatics Journal, 2013 A Bézier like C1 rational quadratic trigonometric polynomial spline is developed. It defines two shape parameters in each subinterval. The approximation and geometric properties are investigated. The curvature continuity is established.
Maria Hussain, Sidra Saleem
doaj +1 more source
Approximations to inverse tangent function
Journal of Inequalities and Applications, 2018 In this paper, we present a sharp Shafer-type inequality for the inverse tangent function. Based on the Padé approximation method, we give approximations to the inverse tangent function. Based on the obtained result, we establish new bounds for arctanx.
Quan-Xi Qiao, Chao-Ping Chen
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Stable Imitation of Multigait and Bipedal Motions for Quadrupedal Robots Over Uneven Terrains
Advanced Robotics Research, EarlyView.How are quadrupedal robots empowered to execute complex navigation tasks, including multigait and bipedal motions? Challenges in stability and real‐world adaptation persist, especially with uneven terrains and disturbances. This article presents an imitation learning framework that enhances adaptability and robustness by incorporating long short‐term ...
Erdong Xiao +3 more
wiley +1 more source
Approximation of functions by (C,2)(E,1) product summability method of Fourier series
Ratio Mathematica, 2020 Various investigators such as Leindler [10], Chandra [1], Mishra et al. [7], Khan [11], Kushwaha [6] have determined the degree of approximation of 2 pai-periodic functions belonging to generalized Lipschitz class of functions through trigonometric ...
Jitendra Kumar Kushwaha
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, 2020 The article is devoted to the expansions of iterated Stratonovich stochastic integrals of multiplicities 1 to 4 on the basis of the method of generalized multiple Fourier series that are converge in the sense of norm in Hilbert space $L_2([t, T]^k),$ $k ...
Kuznetsov, Dmitriy F.
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Systematic Exploration of 3D Concrete Printing Parameters for Conformal Printing on Sloped Surfaces
Advanced Robotics Research, EarlyView.A conformal slicing algorithm is developed for robotic 3D concrete printing (3DCP) on sloped surfaces as a first step toward printing slab‐on‐grade foundations on uneven terrain. Systematic experiments quantify the effects of nozzle speed, extrusion rate, and toolpath direction on filament dimension and stability.
Paniz Farrokhsiar +2 more
wiley +1 more source
Qualitative features of periodic solutions of KdV
, 2013 In this paper we prove new qualitative features of solutions of KdV on the circle. The first result says that the Fourier coefficients of a solution of KdV in Sobolev space $H^N,\, N\geq 0$, admit a WKB type expansion up to first order with strongly ...
B. Schaad +7 more
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A Steerable and Expandable Magnetic Aspiration Catheter for Enhanced Aspiration Thrombectomy
Advanced Intelligent Systems, EarlyView.This article presents a novel magnetic aspiration catheter (MAC) that can be both actively steered and undergo distal‐end expansion via externally applied magnetic fields. The MAC facilitates precise branch selection and enhances clot engagement by improving endovascular navigation and aspiration efficiency. Phantom experiments validate its feasibility
Hakjoon Lee +7 more
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Hardy-Littlewood theorem for series with general monotone coefficients
Қарағанды университетінің хабаршысы. Математика сериясы, 2018 In this work we study trigonometric series with general monotone coefficients. Also, we consider Lqϕ ( Lq ) space. In particular, when ϕ ( t ) ≡ 1 the space Lqϕ ( Lq ) coincides with Lq .
S. Bitimkhan
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