Simultaneous approximation of a function and its derivatives
نویسندگان
چکیده
منابع مشابه
Characteristic function of a meromorphic function and its derivatives
In this paper, some results of Singh, Gopalakrishna and Kulkarni (1970s) have been extended to higher order derivatives. It has been shown that, if $sumlimits_{a}Theta(a, f)=2$ holds for a meromorphic function $f(z)$ of finite order, then for any positive integer $k,$ $T(r, f)sim T(r, f^{(k)}), rrightarrowinfty$ if $Theta(infty, f)=1$ and $T(r, f)sim (k+1)T(r, f^{(k)}), rrightarrowinfty$ if $Th...
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Theorem. If fo is a continuous function on a compact set C without interior and with connected complement of the complex plane, and if fi, • • ■ i fn are continuous functions on a compact totally disconnected subset E of C, then there exists a sequence {pi} of polynomials such that pi-^fo uniformly on C as i—* , and pim—*fk uniformly on E as i—>», for lslk^n, where pi[k] is the kth derivativ...
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be a given linear differential system of the nth order subject to the following hypotheses: (i) the functions P2 , • • • , Pn are continuous and have continuous derivatives of all orders on (0, 1) ; (ii) the boundary conditions, consisting of n linearly independent linear equations involving w(0), u{\), (fe=0, 1, • • • , n — 1), are regular ;f (iii) X = 0 is not a characteristic value, so that ...
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In this paper we consider the approximation of a function by its interpolating multilinear spline and the approximation of its derivatives by the derivatives of the corresponding spline. We obtain the exact uniform approximation error on classes of functions with moduli of continuity bounded above by certain majorants. c ⃝ 2014 Elsevier Inc. All rights reserved. MSC: 41A05; 41A10; 41A28
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هدف از این تحقیق بررسی انتقال صور خیال هملت در دو ترجمه ی فارسی آن از نظر فرمالیستی بود. برای بدست آوردن داده-های مورد نیاز، 130 نمونه استعاره، مجاز، ایهام، کنایه و پارادوکس در متن اصلی مشخص شده و سپس بر اساس مدل نیومارک (1998) برای ترجمه ی استعاره یا بطور کلی زبان مجاز با معادل های فارسی شان مقایسه گردیدند. این تحقیق بر آن بود تا روش های استفاده شده برای ترجمه هر کدام از انواع زبان مجاز ذکر شد...
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ژورنال
عنوان ژورنال: Journal of Approximation Theory
سال: 1976
ISSN: 0021-9045
DOI: 10.1016/0021-9045(76)90004-6