Tag: Polynomial
Random trigonometric polynomials have smaller average Nikolskii factors
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in MathematicsWhat the study found The study found that average Nikolskii factors for random trigonometric polynomials with independent Gaussian coefficients have exact orders that are smaller than worst-case bounds. For 1 ≤ p < q < ∞, the average factor is constant, and for 1 ≤ p < q = ∞, it grows like the square…
Multilinear maximal operators on homogeneous curves are bounded
What the study found The authors prove a boundedness result for multilinear maximal operators along homogeneous polynomial curves. In the stated setting, the result holds when p1, …, pn are greater than 1 and the exponents satisfy 1/p = sum from j=1 to n of 1/pj. Why the authors say this matters The abstract does…
Tensor product formulas extend to two graph polynomials
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What the study found The authors define a tensor product for graphs embedded in pseudo-surfaces and use it to generalize and unify several existing tensor product formulas. They provide Brylawski-style formulas for both the Bollobás-Riordan polynomial and the Krushkal polynomial. Why the authors say this matters The study suggests that this framework brings together previously…
