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Best Approximation and Moduli of Smoothness
2013The aim of this note is to present moduli of smoothness which are introduced by different schools of approximation for characterization of the best algebraic approximation. We observe that Potapov’s generalized moduli are equivalent to the error in approximation by the algebraic version of the trigonometric Jackson integrals in uniform norm and in ...
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New moduli of smoothness on the unit ball, applications and computability
Journal of Approximation Theory, 2014Z Ditzian
exaly
On moduli of smoothness and averaged differences of fractional order
Fractional Calculus and Applied Analysis, 2017Yurii Kolomoitsev
exaly
On moduli of smoothness and K-functionals of fractional order in the Hardy spaces
Journal of Mathematical Sciences, 2012Yurii Kolomoitsev
exaly
Order moduli of convexity and smoothness
Functional Analysis and Its Applications, 1983Maleev, R. P., Troyanski, S. L.
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Weak Type Inequalities for Moduli of Smoothness: The Case of Limit Value Parameters
Journal of Fourier Analysis and Applications, 2009Sergey Tikhonov
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New Moduli of Smoothness on the Unit Ball and Other Domains, Introduction and Main Properties
Constructive Approximation, 2014Z Ditzian
exaly
Moduli of smoothness and best approximation of functions with singularities
Computers and Mathematics With Applications, 2000exaly
Moduli of smoothness of conformal transformations
Ukrainian Mathematical Journal, 1979openaire +1 more source

