Polynomial operators for one-sided L p -approximation to Riemann integrable 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

One-Sided Approximation of Functions

where :Yl denotes the orthogonal complement of Y (see [I]). Another example of this type of duality appears in one of the classical moment problems. Letfbe Bore1 measurable and bounded on [a,b], h,, . . ., h, a CebySev system on [a,b] and for a given positive Bore1 measure yO defined on [a,b] denote by C (y,,) the class of all positive Bore1 measures y which satisfy f.bhkdy=[hkdyo k= 1,2 ,..., ...

متن کامل

One-sided approximation by entire functions

Let f : R→ R have an nth derivative of finite variation Vf(n) and a locally absolutely continuous (n− 1)st derivative. Denote by E±(f, δ)p the error of onesided approximation of f (from above and below, respectively) by entire functions of exponential type δ > 0 in Lp(R)–norm. For 1 ≤ p ≤ ∞ we show the estimate E±(f, δ)p ≤ C n π1/pVf(n)δ −n− 1 p , with constants Cn > 0.

متن کامل

Algebras of Riemann Integrable Functions

In the present paper we shall consider from two different standpoints the real Riemann integrable functions on a bounded closed interval / contained in En. Our results will be extendable to the complex case by standard arguments. (1) In §1 we designate the real valued Riemann integrable functions by R(I). If R(I) is normed by ||/|| =supx6j |/(x)| then it is known that R(I) is a Banach algebra. ...

متن کامل

Interpolatory Product Integration for Riemann-integrable Functions

Conditions are found for the convergence of interpolatory product integration rules and the corresponding companion rules for the class of Riemann-integrable functions. These conditions are used to prove convergence for several classes of rules based on sets of zeros of orthogonal polynomials possibly augmented by one or both of the endpoints of the integration interval.

متن کامل

Polynomial operators for spectral approximation of piecewise analytic functions

We construct a sequence of globally defined polynomial valued operators, using linear combinations of either the coefficients in the orthogonal polynomial expansion of the target function with respect to a very general mass distribution μ or the values of the function at suitable points on [−1, 1], so that the degree of approximation by these operators globally is commensurate with the degree o...

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: Journal of Inequalities and Applications

سال: 2014

ISSN: 1029-242X

DOI: 10.1186/1029-242x-2014-494