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More General Step-Weight Functions ϕ

  • Z. Ditzian
  • V. Totik
Part of the Springer Series in Computational Mathematics book series (SSCM, volume 9)

Abstract

In Section 1.2 three conditions were imposed on ϕ which were the basis of all the proofs up to now. In this chapter we will relax Conditions I and II and will show that in a way III cannot be relaxed without changing the definition of ω ϕ r (f,t) p . For ϕ(x) ~ xβ(0) where β(0) < 0 and ϕ(x) ~ xβ(∞) where β(∞) > 1 we will provide such a change.

Keywords

Lebesgue Measure Lower Estimate Absolute Continuity Lebesgue Measure Zero Growth Order 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Copyright information

© Springer-Verlag New York Inc. 1987

Authors and Affiliations

  • Z. Ditzian
    • 1
  • V. Totik
    • 2
  1. 1.Department of MathematicsUniversity of AlbertaEdmontonCanada
  2. 2.Bolyai InstituteAttila Jozsef UniversitySzegedHungary

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