Euler-Maclaurin summation formula on polytopes and expansions in multivariate Bernoulli polynomials
From MaRDI portal
Publication:6103440
DOI10.1007/s00041-023-10011-9zbMath1529.11038arXiv2203.06236OpenAlexW4381544422MaRDI QIDQ6103440
No author found.
Publication date: 5 June 2023
Published in: The Journal of Fourier Analysis and Applications (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2203.06236
Bernoulli and Euler numbers and polynomials (11B68) Fourier series and coefficients in several variables (42B05) Euler-Maclaurin formula in numerical analysis (65B15)
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Asymptotic Euler-Maclaurin formula over lattice polytopes
- Euler-Maclaurin with remainder for a simple integral polytope
- The weighted Euler-Maclaurin formula for a simple integral polytope
- Euler-Maclaurin formulas via differential operators
- Positivity theorems for solid-angle polynomials
- Fourier expansions of piecewise smooth functions
- An algebraic construction of sum-integral interpolators
- Exact Euler-Maclaurin formulas for simple lattice polytopes
- Riemann sums over polytopes
- Measuring solid angles beyond dimension three
- Expansion of a function in a series of Bernoulli polynomials, and some other polynomials
- Sum-integral interpolators and the Euler-Maclaurin formula for polytopes
- Computing the Continuous Discretely
- Points entiers dans les polyèdres convexes
- Analytic structure of Schläfli function
- Genera of algebraic varieties and counting of lattice points
- Lattice points in simple polytopes
- Local Asymptotic Euler-Maclaurin Expansion for Riemann Sums over a Semi-Rational Polyhedron
- An Euler-MacLaurin formula for polygonal sums
- The Euler–Maclaurin formula for simple integral polytopes
- Expansion of a Function in Terms of Bernouilli Polynomials
- On the Measure of Solid Angles
This page was built for publication: Euler-Maclaurin summation formula on polytopes and expansions in multivariate Bernoulli polynomials