Some New Fourier and Jackson–Nikol’skii Type Inequalities in Unbounded Orthonormal Systems
Permanent lenke
https://hdl.handle.net/10037/24325Dato
2021-09-16Type
Journal articleTidsskriftartikkel
Peer reviewed
Sammendrag
We consider the generalized Lorentz space L_ψ,q defined via a continuous and concave function ψ and the Fourier series of a function with respect to an unbounded orthonormal system. Some new Fourier and Jackson-Nikol’skii type inequalities in this frame are stated, proved and discussed. In particular, the derived results generalize and unify several well-known results but also some new applications are pointed out.
Forlag
Constructive Mathematical AnalysisSitering
Singh H, Persson LE, Akishev G. Some New Fourier and Jackson–Nikol’skii Type Inequalities in Unbounded Orthonormal Systems. Constructive Mathematical Analysis. 2021;4(3):291-304Metadata
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