On some transforms of trigonometric series
Faton M. Berisha, Milan H. Filipovi\'c
TL;DR
This paper introduces a transform for convergent trigonometric series that produces an equivalent series, with conditions ensuring faster convergence, aiding in more efficient mathematical analysis.
Contribution
It presents a novel transform for trigonometric series and provides conditions for improved convergence speed.
Findings
Transform produces equivalent convergent series
Conditions for faster convergence established
Potential for more efficient series analysis
Abstract
We give a transform of convergent trigonometric series into equivalent convergent series and sufficient conditions for the transformed series to converge faster than the original one.
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Taxonomy
TopicsApproximation Theory and Sequence Spaces · Mathematical functions and polynomials · Algebraic and Geometric Analysis