Skip to main content

Derivatives of Integrating Functions for Orthonormal Polynomials with Exponential-Type Weights

Abstract

Let , , where is an even function. In 2008 we have a relation of the orthonormal polynomial with respect to the weight ; , where and are some integrating functions for orthonormal polynomials . In this paper, we get estimates of the higher derivatives of and , which are important for estimates of the higher derivatives of .

Publisher note

To access the full article, please see PDF.

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to Hee Sun Jung.

Rights and permissions

Open Access This article is distributed under the terms of the Creative Commons Attribution 2.0 International License (https://creativecommons.org/licenses/by/2.0), which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

Reprints and Permissions

About this article

Cite this article

Jung, H.S., Sakai, R. Derivatives of Integrating Functions for Orthonormal Polynomials with Exponential-Type Weights. J Inequal Appl 2009, 528454 (2009). https://doi.org/10.1155/2009/528454

Download citation

  • Received:

  • Revised:

  • Accepted:

  • Published:

  • DOI: https://doi.org/10.1155/2009/528454

Keywords

  • Full Article
  • Publisher Note
  • Orthonormal Polynomial