mathematics, Young's convolution inequality is a mathematical inequality about the convolution of two functions, named after William Henry Young. In real...

should not be confused with Young's convolution inequality. Young's inequality for products can be used to prove Hölder's inequality. It is also widely used...

Young's inequality may refer to: Young's inequality for products, bounding the product of two quantities Young's convolution inequality, bounding the...

under the convolution (and equality of the two sides holds if f and g are non-negative almost everywhere). More generally, Young's inequality implies that...

theorem Turán's inequalities Von Neumann's inequality Wirtinger's inequality for functions Young's convolution inequality Young's inequality for products...

descriptions as a fallback Young's convolution inequality – Mathematical inequality about the convolution of two functions Young's inequality for products – Mathematical...

_{k=0}^{n-1}S_{k}(f)} , which is Cesàro summation of Fourier series. By Young's convolution inequality, ‖ F n ∗ f ‖ L p ( [ − π , π ] ) ≤ ‖ f ‖ L p ( [ − π , π ] )...

properties. Dual problem Fenchel's duality theorem Legendre transformation Young's inequality for products "Legendre Transform". Retrieved April 14, 2019. Phelps...

{\displaystyle K(x,y)=h(x-y)} , then the inequality becomes Young's convolution inequality. Young's inequality for products Theorem 0.3.1 in: C. D. Sogge...

Hölder's Inequality and Young's inequality for convolutions which are also presented below. The main applications of interpolation inequalities lie in fields...

became professional mathematicians (Laurence Chisholm Young, Cecilia Rosalind Tanner). Young's Theorem was named after him. In 1913 he was the first to...

Prékopa–Leindler inequality is an integral inequality closely related to the reverse Young's inequality, the Brunn–Minkowski inequality and a number of...

take this inequality and switch the role of the operator and the operand, or in other words, we think of S as the operator of convolution with g, and...

Babenko–Beckner inequality (after Konstantin I. Babenko [ru] and William E. Beckner) is a sharpened form of the Hausdorff–Young inequality having applications...

(s-a-b)}{\zeta (2s-a-b)}},} which is a special case of the Rankin–Selberg convolution. A Lambert series involving the divisor function is: ∑ n = 1 ∞ q n σ...

Elias Stein. His doctoral dissertation was titled "Inequalities for strongly singular convolution operators". Fefferman achieved a full professorship...

resulting infinite series can be summed analytically. The method of convolution using Meijer G-functions can also be used, assuming that the integrand...

family of inequalities that generalizes, for instance, the Hölder's inequality, Young's inequality for convolutions, and the Loomis-Whitney inequality. This...

x\right\rangle \leq f(x)+f^{\star }(p).} Dual curve Projective duality Young's inequality for products Convex conjugate Moreau's theorem Integration by parts...

frequency domain. Also, convolution in the time domain corresponds to ordinary multiplication in the frequency domain (see Convolution theorem). After performing...

d(K_{\delta },\partial \Omega )=\Delta -\delta >\delta >0.} Now use convolution to define the function φK : Ω → R {\displaystyle \mathbb {R} } by φ K...

of equations List of fundamental theorems List of hypotheses List of inequalities Lists of integrals List of laws List of lemmas List of limits List of...

Falling factorial The binomial theorem Test calculations Catalan numbers Convolution Propositions Elements Sets The Riemann zeta function The Basel problem...

distribution function (PDF) of a sum of two independent random variables is the convolution of their individual PDFs. If X 1 {\displaystyle X_{1}} and X 2 {\displaystyle...

{\displaystyle F_{n}(h)} terms are calculated for the given surfaces using the convolution of the surface roughness ϕ ∗ ( s ) {\displaystyle \phi ^{*}(s)} . Several...

interminable string of toadstools, budding and sprouting in endless convolutions," its missing patches, and the way it leaves yellow smears on the skin...

ISBN 978-3-030-20950-6. S2CID 189926552. Terufumi Morishita et al, Rethinking Fano’s Inequality in Ensemble Learning, International Conference on Machine Learning, 2022...

particular, it transforms differential equations into algebraic equations and convolution into multiplication. LC circuit A circuit consisting entirely of inductors...

introduction of a more sophisticated category of algorithms such as convolutional neural networks, the arrival on the market of low cost graphic processors...

1 n x j {\displaystyle s_{n}:=\sum _{1}^{n}x_{j}} converges. convolution The convolution f ∗ g {\displaystyle f*g} of two functions on a convex set is...