ON THE OPERATIONAL CALCULUS WITH DIFFERENTIABLE FUNCTIONS

نویسندگان

چکیده

برای دانلود باید عضویت طلایی داشته باشید

برای دانلود متن کامل این مقاله و بیش از 32 میلیون مقاله دیگر ابتدا ثبت نام کنید

اگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید

منابع مشابه

Inference on Directionally Differentiable Functions

This paper studies an asymptotic framework for conducting inference on parameters of the form φ(θ0), where φ is a known directionally differentiable function and θ0 is estimated by θ̂n. In these settings, the asymptotic distribution of the plug-in estimator φ(θ̂n) can be readily derived employing existing extensions to the Delta method. We show, however, that the “standard” bootstrap is only cons...

متن کامل

The Differentiable Functions on Normed Linear Spaces

The notation and terminology used in this paper are introduced in the following papers: [20], [23], [4], [24], [6], [5], [19], [3], [10], [1], [18], [7], [21], [22], [11], [8], [9], [25], [13], [15], [16], [17], [12], [14], and [2]. For simplicity, we adopt the following rules: n, k denote natural numbers, x, X, Z denote sets, g, r denote real numbers, S denotes a real normed space, r1 denotes ...

متن کامل

gH-differentiable of the 2th-order functions interpolating

Fuzzy Hermite interpolation of 5th degree generalizes Lagrange interpolation by fitting a polynomial to a function f that not only interpolates f at each knot but also interpolates two number of consecutive Generalized Hukuhara derivatives of f at each knot. The provided solution for the 5th degree fuzzy Hermite interpolation problem in this paper is based on cardinal basis functions linear com...

متن کامل

Twice Differentiable Spectral Functions

A function F on the space of n × n real symmetric matrices is called spectral if it depends only on the eigenvalues of its argument. Spectral functions are just symmetric functions of the eigenvalues. We show that a spectral function is twice (continuously) differentiable at a matrix if and only if the corresponding symmetric function is twice (continuously) differentiable at the vector of eige...

متن کامل

Modelling with twice continuously differentiable functions ∗

Many real life situations can be described using twice continuously differentiable functions over convex sets with interior points. Such functions have an interesting separation property: At every interior point of the set they separate particular classes of quadratic convex functions from classes of quadratic concave functions. Using this property we introduce new characterizations of the deri...

متن کامل

ذخیره در منابع من


  با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید

ژورنال

عنوان ژورنال: Proceedings of the National Academy of Sciences

سال: 1958

ISSN: 0027-8424,1091-6490

DOI: 10.1073/pnas.44.7.698