Tidy subgroups for commuting automorphisms of totally disconnected groups: An analogue of simultaneous triangularisation of matrices.
On the classification of C*-algebras of real rank zero.
Differentiated shift-invariant multivariate integral operators.
A discrete stochastic Korovkin theorem.
Universally weakly inner one-parameter automorphism groups of seperable C*-algebras.
On approximately finite-dimensional von Neumann algebras.
An Improved General Stochastic Inequality
A generalization of a two triangle inequality.
The inscribed simplex in a centrally symmetric convex body in En.
Approximation by perturbed neural network operators
This article deals with the determination of the rate of convergence to the unit of each of three newly introduced perturbed normalized neural network operators of one hidden layer. These are given through the modulus of continuity of the function involved or its high order derivative that appears in the right-hand side of the associated Jackson type inequalities. The activation function is very general, in particular it can derive from any sigmoid or bell-shaped function. The right-hand sides of...
Left general fractional monotone approximation theory
We introduce left general fractional Caputo style derivatives with respect to an absolutely continuous strictly increasing function g. We give various examples of such fractional derivatives for different g. Let f be a p-times continuously differentiable function on [a,b], and let L be a linear left general fractional differential operator such that L(f) is non-negative over a closed subinterval I of [a,b]. We find a sequence of polynomials Qₙ of degree ≤n such that L(Qₙ) is non-negative over I,...
Analysis of a nontrivial, explicitly solvable multichannel scattering system
High order corrections to the time-independent Born-Oppenheimer approximation. — I. Smooth potentials
Semiclassical quantum mechanics, IV : large order asymptotics and more general states in more than one dimension
Asymptotic completeness for the impact parameter approximation to three particle scattering
An analog of the RAGE theorem for the impact parameter approximation to three particle scattering
Pivotal inference and the Bayesian controversy.
The theory of pivotal inference applies when parameters are defined by reference to their effect on observations rather than their effect on distributions. It is shown that pivotal inference embraces both Bayesian and frequentist reasoning.
Ostrowski Type Inequalities over Spherical Shells
2000 Mathematics Subject Classification: 26D10, 26D15. Here are presented Ostrowski type inequalities over spherical shells. These regard sharp or close to sharp estimates to the difference of the average of a multivariate function from its value at a point.
General uniform approximation theory by multivariate singular integral operators
We study the uniform approximation properties of general multivariate singular integral operators on , N ≥ 1. We establish their convergence to the unit operator with rates. The estimates are pointwise and uniform. The established inequalities involve the multivariate higher order modulus of smoothness. We list the multivariate Picard, Gauss-Weierstrass, Poisson-Cauchy and trigonometric singular integral operators to which this theory can be applied directly.
Most General Fractional Representation Formula for Functions and Implications
Here we present the most general fractional representation formulae for a function in terms of the most general fractional integral operators due to S. Kalla, [3], [4], [5]. The last include most of the well-known fractional integrals such as of Riemann-Liouville, Erdélyi-Kober and Saigo, etc. Based on these we derive very general fractional Ostrowski type inequalities. 2010 Mathematics Subject Classification: 26A33, 26D10, 26D15.
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