On monotone Fourier coefficients of a function belonging to Nikol'ski\u{\i}--Besov classes
Muharrem Q. Berisha, Faton M. Berisha
TL;DR
This paper establishes precise conditions on the monotone Fourier coefficients that characterize when a function belongs to Nikol'ski2F-Besov classes, enhancing understanding of function space membership criteria.
Contribution
It provides necessary and sufficient conditions based on monotone Fourier coefficients for functions to be in Nikol'ski2F-Besov classes, a novel characterization in harmonic analysis.
Findings
Characterization of Nikol'ski2F-Besov class membership via Fourier coefficients
Necessary and sufficient conditions for monotone Fourier coefficients
Advancement in understanding function space classifications
Abstract
In this paper, necessary and sufficient conditions on terms of monotone Fourier coefficients for a function to belong to a Nikol'ski\u{\i}--Besov type class are given.
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Taxonomy
TopicsDifferential Equations and Boundary Problems · Advanced Harmonic Analysis Research · advanced mathematical theories