Results 31 to 40 of about 18,163 (201)
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
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AIMS Mathematics, 2022 In this work, we introduce generalized Raina fractional integral operators and derive Chebyshev-type inequalities involving these operators. In a first stage, we obtain Chebyshev-type inequalities for one product of functions.
Miguel Vivas-Cortez +5 more
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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
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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 +2 more
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Chebyshev Weighted Type Integral Inequality in Fuzzy and Abstract Spaces [PDF]
Sahand Communications in Mathematical AnalysisIn 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
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Characterizations of higher-order convexity properties with respect to Chebyshev systems
, 2015 In this paper various notions of convexity of real functions with respect to Chebyshev systems defined over arbitrary subsets of the real line are introduced.
Páles, Zsolt +1 more
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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
Personalized Differential Privacy for Ridge Regression Under Output Perturbation
Naval Research Logistics (NRL), EarlyView.ABSTRACT The increased application of machine learning (ML) in sensitive domains requires protecting the training data through privacy frameworks, such as differential privacy (DP). Traditional DP enforces a uniform privacy level ε$$ \varepsilon $$, which bounds the maximum privacy loss that each data point in the dataset is allowed to incur.
Krishna Acharya +3 more
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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
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Chebyshev type inequalities involving extended generalized fractional integral operators
AIMS Mathematics, 2020 In this paper, mainly by using the extended generalized fractional integral operator that involve a further extension of Mittag-Leffler function in the kernel, we obtain several fractional Chebyshev type integral inequalities.
Erhan Set +2 more
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