A characterization of nonlinear Hölder seminorm preserving bijections
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DOI: 10.1007/s11117-017-0492-y
Abstract: For a compact metric space (X, d) and $$\alpha \in (0,1)$$α∈(0,1), let $$\mathrm{Lip}^\alpha (X)$$Lipα(X) be the linear space of all complex-valued functions f on X satisfying and $$\mathrm{lip}^\alpha (X)$$lipα(X) be the subspace of $$\mathrm{Lip}^\alpha (X)$$Lipα(X) consisting… read more here.
Keywords: psi; lip alpha; mathrm lip; lip ... See more keywords
Approximation of a Function f of Generalized Lipschitz Class by Its Extended Legendre Wavelet Series
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DOI: 10.1007/s40819-018-0577-8
Abstract: In this paper, two classes $${ Lip}_\alpha ^{(s)}[0, 1)$$Lipα(s)[0,1) and $${ Lip}\xi [0, 1)$$Lipξ[0,1) are introduced. These classes of functions are the generalization of the known Lipschitz class $${ Lip}_\alpha [0, 1), 0 read more here.
Keywords: alpha alpha; lipschitz class; approximation; class ... See more keywords