Results 21 to 30 of about 18,163 (201)

Quantum Chebyshev's Inequality and Applications

, 2018
In this paper we provide new quantum algorithms with polynomial speed-up for a range of problems for which no such results were known, or we improve previous algorithms. First, we consider the approximation of the frequency moments $F_k$ of order $k \geq 3$ in the multi-pass streaming model with updates (turnstile model).
Hamoudi, Yassine, Magniez, Frédéric
openaire   +5 more sources

Chebyshev Ambient Occlusion

IEEE Access, 2021
Ambient Occlusion (AO) is a widely used shadowing technique in 3D rendering. One of the main disadvantages of using it is that it requires not only the surface depth but also the normal vector, which usually causes severe aliasing. This work introduces a
Ka-Hou Chan, Sio-Kei Im
doaj   +1 more source

Note on a quadratic inequality [PDF]

Notes on Number Theory and Discrete Mathematics
In this note we obtain a quadratic inequality based on a result of Atanassov but in a more symmetric form. Somewhat surprisingly, well-known properties of Chebyshev polynomials can be used to give a straightforward proof.
Peter Renaud
doaj   +1 more source

Efficient prime counting and the Chebyshev primes [PDF]

, 2011
The function $\epsilon(x)=\mbox{li}(x)-\pi(x)$ is known to be positive up to the (very large) Skewes' number. Besides, according to Robin's work, the functions $\epsilon_{\theta}(x)=\mbox{li}[\theta(x)]-\pi(x)$ and $\epsilon_{\psi}(x)=\mbox{li}[\psi(x)]-\
Planat, Michel, Solé, Patrick
core   +5 more sources

Fuzzy Chebyshev type inequality

International Journal of Approximate Reasoning, 2008
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Ouyang, Yao, Fang, Jinxuan, Wang, Lishe
openaire   +1 more source

Generalizations of Steffensen’s inequality via the extension of Montgomery identity

Open Mathematics, 2018
In this paper, we obtained new generalizations of Steffensen’s inequality for n-convex functions by using extension of Montgomery identity via Taylor’s formula. Since 1-convex functions are nondecreasing functions, new inequalities generalize Stefensen’s
Aljinović Andrea Aglić, Pečarić Josip, Pribanić Anamarija Perušić   +2 more
doaj   +1 more source

A Tricentenary history of the Law of Large Numbers

, 2013
The Weak Law of Large Numbers is traced chronologically from its inception as Jacob Bernoulli's Theorem in 1713, through De Moivre's Theorem, to ultimate forms due to Uspensky and Khinchin in the 1930s, and beyond.
Seneta, Eugene
core   +1 more source

Estimation for incomplete information stochastic systems from discrete observations

Advances in Difference Equations, 2019
This paper is concerned with the estimation problem for incomplete information stochastic systems from discrete observations. The suboptimal estimation of the state is obtained by constructing the extended Kalman filtering equation.
Chao Wei
doaj   +1 more source

Convergence analysis of the Chebyshev-Legendre spectral method for a class of Fredholm fractional integro-differential equations

, 2018
In this paper, we propose and analyze a spectral Chebyshev-Legendre approximation for fractional order integro-differential equations of Fredholm type. The fractional derivative is described in the Caputo sense.
Babolian, E., Javadi, S., Moradi, E., Yousefi, A.   +3 more
core   +1 more source

Chebyshev inequalities for unimodal distributions

Lietuvos matematikos rinkinys, 2023
We provide precise upper bounds for the survival function of bounded unimodal random variables.
openaire   +3 more sources