Skip to main content
SpringerLink
Log in

A property of a system of functions close to exponential functions

  • Published:
Mathematical notes of the Academy of Sciences of the USSR Aims and scope Submit manuscript

Abstract

We consider the system {f n=xλn[l+εn]} in the interval [a,b] (0 ≤a <b < ∞). Under certain conditions on λn > 0 and ɛn(x) such as the condition

, we obtain a bound for the coefficients of the polynomial P(x)=#x2211;cn f n(x) in terms of ∥P(x)∥Lp[a,b]. It is found that this bound is not valid without this condition (assuming the other conditions to remain the same).

This is a preview of subscription content, log in via an institution to check access.

Access this article

Log in via an institution

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Institutional subscriptions

Similar content being viewed by others

Literature cited

  1. L. A. Leont'eva, “Properties of an incomplete system of functions that are close to exponential,” Izv. AN SSSR, Ser. Matem.,33, No. 3, 677–702 (1969).

    Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Moscow Physicotechnical Institute, USSR

    L. A. Leont'eva

Authors
  1. L. A. Leont'eva
    View author publications

    You can also search for this author in PubMed Google Scholar

Additional information

Translated from Matematicheskie Zametki, Vol. 12, No. 1, pp. 29–36, July, 1972.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Leont'eva, L.A. A property of a system of functions close to exponential functions. Mathematical Notes of the Academy of Sciences of the USSR 12, 450–454 (1972). https://doi.org/10.1007/BF01094389

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF01094389

Keywords

Search

Navigation