Yurii Kolomoitsev
Published 2017-09-10Version 1
We consider two types of fractional integral moduli of smoothness, which are widely used in theory of functions and approximation theory. In particular, we obtain new equivalences between these moduli of smoothness and the classical moduli of smoothness. It turns out that for fractional integral moduli of smoothness some pathological effects arise.
Journal: Fract. Calc. Appl. Anal. 20 (2017), no. 4, 988-1009
Existence, uniqueness, estimation and continuous dependence of the solutions of a nonlinear integral and an integrodifferential equations of fractional order
New moduli of smoothness
Properties of moduli of smoothness in $L_p(\mathbb{R}^d)$
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