Results 41 to 50 of about 18,205 (197)

Some Integral Inequalities in 𝒱-Fractional Calculus and Their Applications

Mathematics, 2022
We consider the Steffensen–Hayashi inequality and remainder identity for V-fractional differentiable functions involving the six parameters truncated Mittag–Leffler function and the Gamma function.
Hari Mohan Srivastava, Pshtiwan Othman Mohammed, Ohud Almutairi, Artion Kashuri, Y. S. Hamed   +4 more
doaj   +1 more source

Miners' Reward Elasticity and Stability of Competing Proof‐of‐Work Cryptocurrencies

International Economic Review, EarlyView.
ABSTRACT Proof‐of‐Work cryptocurrencies employ miners to sustain the system through algorithmic reward adjustments. We develop a stochastic model of the multicurrency mining and identify conditions for stable transaction speeds. Bitcoin's algorithm requires hash supply elasticity <$<$1 for stability, while ASERT remains stable for any elasticity and ...
Kohei Kawaguchi, Junpei Komiyama, Shunya Noda   +2 more
wiley   +1 more source

Complete solution of a constrained tropical optimization problem with application to location analysis

, 2014
We present a multidimensional optimization problem that is formulated and solved in the tropical mathematics setting. The problem consists of minimizing a nonlinear objective function defined on vectors over an idempotent semifield by means of a ...
A. Tharwat, B. Carré, B. Giffler, B.A. Carré, F.L. Baccelli, I. V. Romanovskiĭ, J. Elzinga, K. Zimmermann, N. Krivulin, N. Krivulin, N.K. Krivulin, N.N. Vorob’ev, O. Hudec, O. Hudec, P. Butkovič, P. Hansen, R. Cuninghame-Green, R.A. Cuninghame-Green, R.A. Cuninghame-Green, R.A. Cuninghame-Green, S.N.N. Pandit, V.N. Kolokoltsov, Z. Drezner   +22 more
core   +1 more source

Unconditional Variance Estimation Under Complex Surveys

International Statistical Review, EarlyView.
Summary The unconditional framework treats the samples and the variables of interest as random variables. This is particularly suitable with analytic inference, when modelling survey data. We show that variance estimation does not involve finite population corrections and joint‐inclusion probabilities, even with large sampling fractions and under ...
Yves G. Berger
wiley   +1 more source

Exponential Stability for a Class of Stochastic Reaction-Diffusion Hopfield Neural Networks with Delays

Journal of Applied Mathematics, 2012
This paper studies the asymptotic behavior for a class of delayed reaction-diffusion Hopfield neural networks driven by finite-dimensional Wiener processes. Some new sufficient conditions are established to guarantee the mean square exponential stability
Xiao Liang, Linshan Wang
doaj   +1 more source

Supplementing the numerical solution of singular/hypersingular integral equations/inequalities with parametric inequality constraints with applications to crack problems

Computer Assisted Methods in Engineering and Science, 2017
Singular and hypersingular integral equations appear frequently in engineering problems. The approximate solution of these equations by using various numerical methods is well known.
Nikolaos I. Ioakimidis
doaj   +1 more source

Polynomial approximation via compressed sensing of high-dimensional functions on lower sets

, 2016
This work proposes and analyzes a compressed sensing approach to polynomial approximation of complex-valued functions in high dimensions. Of particular interest is the setting where the target function is smooth, characterized by a rapidly decaying ...
Chkifa, Abdellah, Dexter, Nick, Tran, Hoang, Webster, Clayton G.   +3 more
core   +1 more source

A Non‐Parametric Framework for Correlation Functions on Product Metric Spaces

International Statistical Review, EarlyView.
Summary We propose a non‐parametric framework for analysing data defined over products of metric spaces, a versatile class encountered in various fields. This framework accommodates non‐stationarity and seasonality and is applicable to both local and global domains, such as the Earth's surface, as well as domains evolving over linear time or time ...
Pier Giovanni Bissiri, Bernardo Nipoti, Emilio Porcu, Philip White   +3 more
wiley   +1 more source

Some Inequalities Combining Rough and Random Information

Entropy, 2018
Rough random theory, generally applied to statistics, decision-making, and so on, is an extension of rough set theory and probability theory, in which a rough random variable is described as a random variable taking “rough variable” values.
Yujie Gu, Qianyu Zhang, Liying Yu
doaj   +1 more source

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, Radácsi, Éva Székelyné   +1 more
core   +1 more source