Results 51 to 60 of about 2,041 (214)

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

The Benjamin–Ono Equation in the Zero‐Dispersion Limit for Rational Initial Data: Generation of Dispersive Shock Waves

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, Louise Gassot, Patrick Gérard, Peter D. Miller   +3 more
wiley   +1 more source

Trigonometric polynomials over homogeneous spaces of compact groups

, 2017
This paper presents a systematic study for trigonometric polynomials over homogeneous spaces of compact groups. Let HH be a closed subgroup of a compact group GG.
Ghaani Farashahi, A
core   +1 more source

Active learning strategies in business and information & communication technology engineering higher education: A scoping review

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, Ricardo Torres Kompen, Josep Petchamé   +2 more
wiley   +1 more source

Some Bernstein-type inequalities for trigonometric polynomials

, 1993
Одержані уточнення відомих нерівностей типу нерівності Бернштейна для тригонометричних поліномів.The refinements of some well-known Bemstein-type inequalities for trigonometric polynomials are ...
Бабенко, В.Ф., Лигун, А.А.   +1 more
core   +3 more sources

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

Uncertainty Quantification of Analytical Solutions for the Nonlinear Space and Time Fractional Order ϕ4$$ {\phi}^4 $$ Equation Under Fuzziness

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, Neha Andaleeb Khalid, Baboucarr Ceesay, Zafar Iqbal   +3 more
wiley   +1 more source

A unified analytical framework for Mössbauer synchrotron sources

Journal of Synchrotron Radiation, Volume 33, Issue 4, Page 931-938, July 2026.
We present a unified analytical framework for Mössbauer synchrotron and X‐ray free‐electron laser sources that provides exact, rotationally invariant expressions for resonance energies and transition probabilities in mixed magnetic dipole–electric quadrupole interactions without Hamiltonian diagonalization.
Krzysztof R. Szymański
wiley   +1 more source

On Bernstein inequalities for multivariate trigonometric polynomials in $L_{p}$, $0\leq p\leq \infty $

, 2022
summary:Let ${\mathbb T}_n$ be the space of all trigonometric polynomials of degree not greater than $n$ with complex coefficients. Arestov extended the result of Bernstein and others and proved that $ \| (1/n) T'_n \|_{p} \leq \| T_n \|_{p}$ for $0 \leq
Zhao, Xingjun, Zhu, Laiyi
core   +1 more source

Quantifier Elimination for Trigonometric Polynomials by Cylindrical Trigonometric Decomposition

Journal of Symbolic Computation, 2000
The authors present a quantifier elimination algorithm for some first-order formulas involving the trigonometric functions sine and cosine based on the cylindrical algebraic decomposition of semi-algebraic sets due to Collin (see \textit{G. E. Collins}, Lect. Notes Comput. Sci. 33, 134-183 (1975; Zbl 0318.02051)).
Petru Pau, Josef Schicho
openaire   +2 more sources