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Chebyshev inequality on conformable derivative

Communications Faculty Of Science University of Ankara Series A1Mathematics and Statistics, 2021
Summary: Integral inequalities are very important in applied sciences. Chebyshev's integral inequality is widely used in applied mathematics. First of all, some necessary definitions and results regarding conformable derivative are given in this article.
SELÇUK KIZILSU, Aysun, GÜVENİLİR, Ayşe Feza   +1 more
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Approximate Hermite-Hadamard type inequalities for approximately convex functions [PDF]

, 2012
In this paper, approximate lower and upper Hermite--Hadamard type inequalities are obtained for functions that are approximately convex with respect to a given Chebyshev ...
Makó, Judit, Páles, Zsolt
core   +1 more source

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
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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

Limit theorems for linear eigenvalue statistics of overlapping matrices [PDF]

, 2015
The paper proves several limit theorems for linear eigenvalue statistics of overlapping Wigner and sample covariance matrices. It is shown that the covariance of the limiting multivariate Gaussian distribution is diagonalized by choosing the Chebyshev ...
Kargin, Vladislav
core   +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

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
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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

Companion to the Ostrowski–Grüss-Type Inequality of the Chebyshev Functional with an Application

Mathematics, 2022
Recently, there have been many proven results of the Ostrowski–Grüss-type inequality regarding the error bounds for the Chebyshev functional when the functions or their derivatives belong to Lp spaces.
Sanja Kovač, Ana Vukelić
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
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