# Pointwise summability of Fourier-Laguerre series of integrable functions

## TL;DR

This paper extends classical results on the summability of Fourier-Laguerre series for integrable functions, providing new approximation results and illustrative examples.

## Contribution

It offers an approximation version of historical summability results for Fourier-Laguerre series, enhancing understanding of their convergence properties.

## Key findings

- New approximation results for Fourier-Laguerre series
- Corollaries and examples illustrating the theory
- Extension of classical summability theorems

## Abstract

We present an approximation version of the results of D. P. Gupta [ J. of Approx. Theory, 7 (1973), 226-238] A. N. S. Singroura [Proc. Japan Acad., 39 (4) (1963), 208-210] and G. Szeg\"{o} [Math. Z., 25 (1926), 87-115]. Some corollaries and examples will also be given.