Results 51 to 60 of about 2,105 (196)
Communications on Pure and Applied Mathematics, Volume 79, Issue 9, Page 2107-2157, September 2026.ABSTRACT The leading‐order asymptotic behavior of the solution of the Cauchy initial‐value problem for the Benjamin–Ono equation in L2(R)$L^2(\mathbb {R})$ is obtained explicitly for generic rational initial data u0$u_0$. An explicit asymptotic wave profile uZD(t,x;ε)$u^\mathrm{ZD}(t,x;\epsilon)$ is given, in terms of the branches of the multivalued ...
Elliot Blackstone +3 more
wiley +1 more source
On the Convergence of Conjugate Trigonometric Polynomials [PDF]
gmj, 2006 Abstract Sufficient conditions are found, under which for 𝑓 ∈ 𝐶([–π, π]) or 𝑓 ∈ 𝐿([–π, π]) the convergence of a sequence of trigonometric polynomials in the norms of these spaces implies the convergence of their conjugates in the same norms.
openaire +3 more sources
Level crossings of a random trigonometric polynomial
, 1991 This paper provides an asymptotic estimate for the expected number of K K -level crossings of the random trigonometric polynomial g 1 cos x +
Kambiz Farahmand
core +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
Review of Education, Volume 14, Issue 2, August 2026.Abstract Active learning (AL) has emerged as a pedagogical response to diverse educational challenges across multiple disciplines. This scoping review maps the terrain of AL implementation patterns, examining AL practices in Business Education, Information and Communication Technology (ICT) Engineering, Mathematics, and Statistics from 2015 until the ...
Dubravka Novkovic +2 more
wiley +1 more source
Bounding Multivariate Trigonometric Polynomials
IEEE Transactions on Signal Processing, 2019 The extremal values of multivariate trigonometric polynomials are of interest in fields ranging from control theory to filter design, but finding the extremal values of such a polynomial is generally NP-Hard. In this paper, we develop simple and efficiently computable estimates of the extremal values of a multivariate trigonometric polynomial directly ...
Luke Pfister, Yoram Bresler
openaire +1 more source
Analytic linearization of a generalization of the semi-standard map: radius of convergence and Brjuno sum [PDF]
, 2021 One considers a system on C 2 close to an invariant curve which can be viewed as a generalization of the semi-standard map to a trigonometric polynomial with many Fourier modes.
Marmi, Stefano, Chavaudret, Claire
core +1 more source
C¹ Positive Surface over Positive Scattered Data Sites. [PDF]
PLoS ONE, 2015 The aim of this paper is to develop a local positivity preserving scheme when the data amassed from different sources is positioned at sparse points.
Farheen Ibraheem +2 more
doaj +1 more source
Engineering Reports, Volume 8, Issue 7, July 2026.Analytical fuzzy soliton solutions of a modified space–time fractional ϕ4$$ {\phi}^4 $$ model are derived using EHFM, capturing memory effects and uncertainty. Results reveal diverse wave structures and show how fractional order and fuzziness significantly influence soliton amplitude, localization, and propagation, with heightened sensitivity near the ...
Mohsin Khalid +3 more
wiley +1 more source
On the Minimum Modulus of Trigonometric Polynomials [PDF]
Proceedings of the American Mathematical Society, 1992 For all even integers N N greater than 2, a trigonometric polynomial
openaire +2 more sources