SOLUTION OF LANDAU'S PROBLEM CONCERNING HIGHER DERIVATIVES ON THE HALFLINE.

Abstract

Let f(x) be defined for 0 = or < x < infinity and let M sub nu = sup/(f sup nu)(x)/(nu = 0,..., n). Assuming (M sub 0) and (M sub n) to be finite, the best constants (C sub n, nu) in the inequalities (M sub nu) = or < (C sub n, nu) ((M sub 0, sup (1-nu/n))(M sub n, sup (nu/n))), 0 < nu < n are determined. (Author)

Document Details

Document Type
Technical Report
Publication Date
Mar 01, 1970
Accession Number
AD0713440

Entities

People

  • Alfred Cavaretta
  • Isaac Jacob Schoenberg

Organizations

  • University of Wisconsin–Madison

Tags

DTIC Thesaurus Topics

  • Inequalities

Readers

  • Analytical Mechanics
  • Calculus or Mathematical Analysis