Simultaneous approximation by polynomials in Orlicz spaces generated by quasiconvex Young functions
In this paper we prove some theorems on simultaneous approximation by trigonometric or algebraic polynomials in Orlicz spaces constructed by Young functions belonging to a reasonably wide class.
huseyin koc
doaj
Approximation of Signals (Functions) by Trigonometric Polynomials in Lp-Norm
Mittal and Rhoades (1999, 2000) and Mittal et al. (2011) have initiated a study of error estimates En(f) through trigonometric-Fourier approximation (tfa) for the situations in which the summability matrix T does not have monotone rows.
M. L. Mittal, Mradul Veer Singh
doaj +1 more source
DISCRETE LEAST SQUARES APPROXIMATION OF PIECEWISE-LINEAR FUNCTIONS BY TRIGONOMETRIC POLYNOMIALS
Let N be a natural number greater than 1. Select N uniformly distributed points t_k = 2πk/N (0 ≤ k ≤ N − 1) on [0, 2π]. Denote by L_{n,N} (f) = L_{n,N} (f, x) (1 ≤ n ≤ N/2) the trigonometric polynomial of order n possessing the least quadratic deviation ...
G. G. Akniyev
doaj +1 more source
Discrete Fourier analysis, Cubature and Interpolation on a Hexagon and a Triangle
Several problems of trigonometric approximation on a hexagon and a triangle are studied using the discrete Fourier transform and orthogonal polynomials of two variables.
Li, Huiyuan, Sun, Jiachang, Xu, Yuan
core
Electron microscopy‐based three‐dimensional subcellular imaging of plant male gametophyte
The Aquilos2 Cryo‐FIB workflows provide practical routes for cryo‐electron tomography and volume imaging in plant structural biology. ABSTRACT Understanding cellular events in three dimensions (3D) is of great importance for the annotation and illustration of biological processes in a contextual way. Imaging techniques based on electron microscopy (EM),
Zhiqi Liu +9 more
wiley +1 more source
Interest Rate Pegs and the Reversal Puzzle: On the Role of Anticipation
Abstract We revisit the reversal puzzle: a counterintuitive contraction of inflation in response to an interest rate peg. We show that its occurrence is intimately related to the degree of agents' anticipation. If agents perfectly anticipate the peg, reversals occur depending on the duration of the peg.
RAFAEL GERKE +2 more
wiley +1 more source
Trigonometric approximation in the norms and seminorm [PDF]
There are proved four theorems on approximation by trigonometric polynomials of some periodic functions and their Weyl derivatives. Estimates obtained here can be treated as generalizations of the results of \textit{T. Ganelius} [Math. Scand. 4, 247-258 (1957; Zbl 0077.070)] and \textit{V. A. Popov} [C. R. Acad. Bulg. Sci. 32, 1319-1322 (1979; Zbl 0439.
openaire +1 more source
Automated Bandwidth Selection for Inference in Linear Models With Time‐Varying Coefficients
ABSTRACT The problem of selecting the smoothing parameter, or bandwidth, for kernel‐based estimators of time‐varying coefficients in linear models with possibly endogenous explanatory variables is considered. We examine automated bandwidth selection by means of cross‐validation, a nonparametric variant of Akaike's information criterion, and bootstrap ...
Charisios Grivas, Zacharias Psaradakis
wiley +1 more source
Approximating Polynomials for Functions of Weighted Smirnov-Orlicz Spaces
Let 𝐺0 and 𝐺∞ be, respectively, bounded and unbounded components of a plane curve Γ satisfying Dini's smoothness condition. In addition to partial sum of Faber series of 𝑓 belonging to weighted Smirnov-Orlicz space 𝐸𝑀,𝜔 (𝐺0), we prove that interpolating ...
Ramazan Akgün
doaj +1 more source
SPARSE APPROXIMATION AND RECOVERY BY GREEDY ALGORITHMS IN BANACH SPACES
We study sparse approximation by greedy algorithms. We prove the Lebesgue-type inequalities for the weak Chebyshev greedy algorithm (WCGA), a generalization of the weak orthogonal matching pursuit to the case of a Banach space.
V. N. TEMLYAKOV
doaj +1 more source

