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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 .

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Correspondence to Hee Sun Jung.

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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.

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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

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

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