On moduli of smoothness of fractional order.

S. Tikhonov

doi:rae/1129416479

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Home > Journals > Real Anal. Exchange > Volume 30 > Issue 2 > Article

2004-2005 On moduli of smoothness of fractional order.

S. Tikhonov

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S. Tikhonov¹
¹Moscow State University

Real Anal. Exchange 30(2): 507-518 (2004-2005).

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Abstract

In this paper we consider the properties of moduli of smoothness of fractional order. The main result of the paper describes the equivalence of the modulus of smoothness and a function from some class.