Results 31 to 40 of about 18,205 (197)

On Chebyshev Functional and Ostrowski-Grus Type Inequalities for Two Coordinates

International Journal of Analysis and Applications, 2016
In this paper, we construct Chebyshev functional and Gruss inequality on two coordinates. Also we establish Ostrowski-Gruss type inequality on two coordinates. Related mean value theorems of Lagrange and Cauchy type are also given.
Atiq Ur Rehman, Ghulam Farid
doaj   +2 more sources

Hermite–Hadamard-Type Inequalities and Two-Point Quadrature Formula

Mathematics, 2022
As convexity plays an important role in many aspects of mathematical programming, e.g., for obtaining sufficient optimality conditions and in duality theorems, and one of the most important inequalities for convex functions is the Hermite–Hadamard ...
Josipa Barić
doaj   +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

Chebyshev Weighted Type Integral Inequality in Fuzzy and Abstract Spaces [PDF]

Sahand Communications in Mathematical Analysis
In this paper, we express and prove Chebyshev weighted type inequality for fuzzy integrals and in abstract spaces where the functions are strictly monotone functions. Furthermore, we have shown our results for n-th strictly monotone functions.
Bayaz Daraby, Zahra Vaezi
doaj   +1 more source

Improved Chebyshev inequality: new probability bounds with known supremum of PDF

, 2018
In this paper, we derive new probability bounds for Chebyshev's inequality if the supremum of the probability density function is known. This result holds for one-dimensional or multivariate continuous probability distributions with finite mean and ...
Nishiyama, Tomohiro
core   +1 more source

A highly accurate numerical method for solving boundary value problem of generalized Bagley‐Torvik equation

Mathematical Methods in the Applied Sciences, EarlyView.
A highly accurate numerical method is given for the solution of boundary value problem of generalized Bagley‐Torvik (BgT) equation with Caputo derivative of order 0<β<2$$ 0<\beta <2 $$ by using the collocation‐shooting method (C‐SM). The collocation solution is constructed in the space Sm+1(1)$$ {S}_{m+1}^{(1)} $$ as piecewise polynomials of degree at ...
Suzan Cival Buranay, Mtema James Chin, Nazim I. Mahmudov   +2 more
wiley   +1 more source

SAMPLE TESTING OF THE ALGORITHM WITH THE ITERATIVE DETERMINATION OF WEIGHTS

Вестник Мининского университета, 2017
The article presents the results of testing the algorithm robust estimation based on the Chebyshev inequality, on a large number of samples with unimodal symmetric distribution with an asymmetric noise. Difference of the considered way of estimation, the
V. L. Chechulin, V. I. Gracile
doaj   +2 more sources

Synchronization of reaction–diffusion Hopfield neural networks with s-delays through sliding mode control

Nonlinear Analysis, 2022
Synchronization of reaction–diffusion Hopfield neural networks with s-delays via sliding mode control (SMC) is investigated in this paper. To begin with, the system is studied in an abstract Hilbert space C([–r; 0];U) rather than usual Euclid space Rn ...
Xiao Liang, Shuo Wang, Ruili Wang, Xingzhi Hu, Zhen Wang   +4 more
doaj   +1 more source

Selfadjoint operator Chebyshev–Grüss type inequalities [PDF]

Applicationes Mathematicae, 2019
Summary: We present very general selfadjoint operator Chebyshev-Grüss type inequalities. We give applications.
openaire   +1 more source

New Chebyshev type inequalities for sequences of real numbers

Journal of Numerical Analysis and Approximation Theory, 2004
Some new inequalities of Chebyshev type for sequences of real numbers are pointed out.
S. S. Dragomir
doaj   +2 more sources