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AI Summary & Key Takeaways
AI Insight⚡ TL;DR(Too Long; Didn't Read)
The degree of approximation of thefunction f by matrix means $T_{n^{(A)}};(f)$ of its hexagonal Fourier series is estimated in terms of the modulus of continuityof f.
📌 3 Key Takeaways
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Objective & Hypothesis:Let f be a continuous function which is periodic with respect to the hexagon lattice, and let A be a lowertriangular infinite matrix of nonnegative real numbers with nonincreasing rows.
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Key Findings & Data:Let f be a continuous function which is periodic with respect to the hexagon lattice, and let A be a lowertriangular infinite matrix of nonnegative real numbers with nonincreasing rows.
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Conclusion & Impact:The degree of approximation of thefunction f by matrix means $T_{n^{(A)}};(f)$ of its hexagonal Fourier series is estimated in terms of the modulus of continuityof f.
🔬Design:Research Article
📍Scope:Comprehensive Sample
⚙️Variables:Domain Parameters
Abstract
Let f be a continuous function which is periodic with respect to the hexagon lattice, and let A be a lowertriangular infinite matrix of nonnegative real numbers with nonincreasing rows. The degree of approximation of thefunction f by matrix means $T_{n^{(A)}};(f)$ of its hexagonal Fourier series is estimated in terms of the modulus of continuityof f.
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Cite This Article
GÜVEN, A. (2022). Degree of approximation by means of hexagonal Fourier series. Turkish Journal of Mathematics, Cilt: 44 - Sayı: 3, 970–985. https://ajindex.com/articles/608789