Direct and inverse results in Hölder norms

نویسندگان

  • Jorge Bustamante
  • Cuauhtemoc Castañeda Roldan
چکیده

We present a general approach to obtain direct and inverse results for approximation in Hölder norms. This approach is used to obtain a collection of new results related with estimates of the best polynomial approximation and with the approximation by linear operators of non-periodic functions in Hölder norms. © 2005 Elsevier Inc. All rights reserved.

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

ثبت نام

اگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید

منابع مشابه

Optimal results for a time-fractional inverse diffusion problem under the Hölder type source condition

‎In the present paper we consider a time-fractional inverse diffusion problem‎, ‎where data is given at $x=1$ and the solution is required in the interval $0

متن کامل

Effectivized Holder-logarithmic stability estimates for the Gel'fand inverse problem

We give effectivized Hölder-logarithmic energy and regularity dependent stability estimates for the Gel’fand inverse boundary value problem in dimension d = 3. This effectivization includes explicit dependance of the estimates on coefficient norms and related parameters. Our new estimates are given in L and L∞ norms for the coefficient difference and related stability efficiently increases with...

متن کامل

Graph norms and Sidorenko’s conjecture

2 Definitions and main results 3 2.1 Notations and definitions . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 3 2.2 Graph norms . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 4 2.3 Schatten-von Neumann classes . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 5 2.4 Hölder and weakly Hölder graphs . . . . . . . . . . . . ....

متن کامل

Functional limit theorems for maxima in Hölder spaces

We establish limit theorems for component–wise maxima of independent and identically distributed heavy–tailed processes. The focus here is on weak convergence in Hölder spaces. Given that the finite–dimensional distributions converge, the classical tightness conditions of Lamperti apply, provided that one can control the tail–behavior of Hölder norms. Here, by using a powerful isomorphism theor...

متن کامل

Another View on the Hölder Inequality

Every diagonal matrix D yields an endomorphism on the n-dimensional complex vector space. If one provides the n with Hölder norms, we can compute the operator norm of D. We define homogeneous weighted spaces as a generalization of normed spaces. We generalize the Hölder norms for negative values, this leads to a proof of an extended version of the Hölder inequality. Finally, we formulate this v...

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

عنوان ژورنال:
  • Journal of Approximation Theory

دوره 138  شماره 

صفحات  -

تاریخ انتشار 2006