Minimal Shape-preserving Projections onto N

نویسندگان

  • B L Chalmers
  • M P Prophet
چکیده

In this paper are determined minimal shape-preserving projections onto the n-th degree algebraic polynomials.

برای دانلود 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

The Geometry of Minimal Shape-preserving Projections onto N

We obtain minimal shape-preserving projections onto the n-th degree algebraic polynomials via a geometric approach.

متن کامل

Minimal Shape-preserving Projections Onto Πn: Generalizations and Extensions

The goal of this paper is to further the investigation begun in [6]. With the benefit of nearly ten years of work, we begin by indicating how several proofs from [6] can be substantially improved. We show that the problem of preserving k-convexity onto Πn is one part of a larger shape-preserving problem (multi-convex preservation) relative to Πn and we completely solve this expanded problem. An...

متن کامل

Optimal Interpolating Spaces

In this paper we study the existence and characterization of spaces which are images of minimal-norm projections that are required to interpolate at given functionals and satisfy additional shape-preserving requirements. We will call such spaces optimal interpolating spaces preserving shape. This investigation leads to concrete solutions in classical settings and, as examples, n will be determi...

متن کامل

Uniqueness of Minimal Projections onto Two-dimensional Subspaces

In this paper we prove that the minimal projections from Lp (1 < p < ∞) onto any two-dimensional subspace is unique. This result complements the theorems of W. Odyniec ([OL, Theorem I.1.3], [O3]) We also investigate the minimal number of norming points for such projections.

متن کامل

On Infinitesimal Conformal Transformations of the Tangent Bundles with the Generalized Metric

Let  be an n-dimensional Riemannian manifold, and  be its tangent bundle with the lift metric. Then every infinitesimal fiber-preserving conformal transformation  induces an infinitesimal homothetic transformation on .  Furthermore,  the correspondence   gives a homomorphism of the Lie algebra of infinitesimal fiber-preserving conformal transformations on  onto the Lie algebra of infinitesimal ...

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

برای دانلود 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

عنوان ژورنال:

دوره   شماره 

صفحات  -

تاریخ انتشار 1998