Results 1 to 10 of about 53,939 (225)
Refining trigonometric inequalities by using Padé approximant [PDF]
Journal of Inequalities and Applications, 2018 A two-point Padé approximant method is presented for refining some remarkable trigonometric inequalities including the Jordan inequality, Kober inequality, Becker–Stark inequality, and Wu–Srivastava inequality. Simple proofs are provided.
Zhen Zhang, Huaqing Shan, Ligeng Chen
doaj +4 more sources
On the boundedness of the partial sums operator for the Fourier series in the function classes families associated with harmonic intervals [PDF]
Қарағанды университетінің хабаршысы. Математика сериясы, 2021 The article is devoted to the study of some data from the theory of functions approximation by trigonometric polynomials with a spectrum from special sets called harmonic intervals.
Gulsim A. Yessenbayeva +3 more
doaj +3 more sources
Approximation on the regular hexagon
Journal of Numerical Analysis and Approximation Theory, 2020 The degree of trigonometric approximation of continuous functions, which are periodic with respect to the hexagon lattice, is estimated in uniform and Hölder norms.
Ali Guven
doaj +7 more sources
High Performance Implementation and Optimization of Trigonometric Functions Based on SIMD [PDF]
Jisuanji kexue, 2021 As a basic mathematical operation,the high-performance implementation of trigonometric functions is of great significance to the construction of the basic software ecology of the processor.Especially,the current processors have adopted the SIMD ...
YAO Jian-yu, ZHANG Yi-wei, ZHANG Guang-ting, JIA Hai-peng
doaj +1 more source
Karpatsʹkì Matematičnì Publìkacìï, 2023 Exact order estimates for some characteristics of linear and nonlinear approximation of the isotropic Nikol'skii-Besov classes $\mathbf{B}^r_{p,\theta}$ of periodic multivariate functions in the spaces $B_{q,1}$, $1\leq q \leq \infty$, are obtained ...
A.S. Romanyuk +3 more
doaj +1 more source
Approximation by trigonometric polynomials in the variable exponent weighted Morrey spaces
Karpatsʹkì Matematičnì Publìkacìï, 2021 In this paper we investigate the best approximation by trigonometric polynomials in the variable exponent weighted Morrey spaces ${\mathcal{M}}_{p(\cdot),\lambda(\cdot)}(I_{0},w)$, where $w$ is a weight function in the Muckenhoupt $A_{p(\cdot)}(I_{0 ...
Z. Cakir +3 more
doaj +1 more source
Accelerating convergence of trigonometric approximations [PDF]
Mathematics of Computation, 1970 Lanczos has recently developed a method for accelerating the convergence of trigonometric approximations for smooth, nonperiodic functions by modifying their boundary behavior. The method is reformulated here in terms of interpolation theory and is shown to be related to the theory of Lidstone interpolation.
Jones, William B., Hardy, G.
openaire +2 more sources
Nonlinear Approximation by Trigonometric Sums [PDF]
Journal of Fourier Analysis and Applications, 1995 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
DeVore, R.A., Temlyakov, V.N.
openaire +2 more sources
Open Mathematics, 2021 Fourier approximation plays a key role in qualitative theory of deterministic and random differential equations. In this paper, we will develop a new approximation tool.
Zhang Zhihua
doaj +1 more source
On approximation by Blackman- and Rogosinski-type operators in Banach space; pp. 205–219 [PDF]
Proceedings of the Estonian Academy of Sciences, 2016 In this paper we introduce the Blackman- and Rogosinski-type approximation processes in an abstract Banach space setting. Historical roots of these processes go back to W. W. Rogosinski in 1926.
Andi Kivinukk, Anna Saksa
doaj +1 more source