ON THE REPRESENTATION OF FUNCTIONS BY SERIES OFLEGANDRE POLYNOMIALS IN WEIGHTED $ L_\mu ^q[-1, 1]$ SPACES

M. G. Grigorian; A. S. Sargsyan

doi:10.46991/PYSUA.2001.35.1.136

ON THE REPRESENTATION OF FUNCTIONS BY SERIES OFLEGANDRE POLYNOMIALS IN WEIGHTED $ L_\mu ^q[-1, 1]$ SPACES

Authors

M. G. Grigorian Chair of Higher Mathematics, Faculty of Physics, YSU, Armenia
A. S. Sargsyan Chair of Higher Mathematics, Faculty of Physics, YSU, Armenia

DOI:

https://doi.org/10.46991/PYSUA.2001.35.1.136

Abstract

In this paper we construct the weighted $L_\mu ^q[-1, 1], q \in[1, 4/3]\cup [4, +\infty],$ and Legander series $\sum \limits_{k=1} ^\infty c_pP_k(x)$, which is universal in $L_\mu ^q [-1, 1]$.

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Published

2001-03-16

Issue

Vol. 35 No. 1 (195) (2001)

Section

Short Communications

License

This work is licensed under a Creative Commons Attribution-NonCommercial 4.0 International License.

How to Cite

Grigorian, M. G., & Sargsyan, A. S. (2001). ON THE REPRESENTATION OF FUNCTIONS BY SERIES OFLEGANDRE POLYNOMIALS IN WEIGHTED $ L_\mu ^q[-1, 1]$ SPACES. Proceedings of the YSU A: Physical and Mathematical Sciences, 35(1 (195), 136-138. https://doi.org/10.46991/PYSUA.2001.35.1.136