Estimates of Mixed Moduli of Smoothness in Metrics of Lq Through Mixed Moduli of Smoothness in Metrics of L1


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Abstract

Interrelations between mixed fractional moduli of smoothness considered in metrics of L1 and Lq are studied in the paper.

About the authors

M. K. Potapov

Moscow State University, Faculty of Mechanics and Mathematics

Author for correspondence.
Email: mkpotapov@mail.ru
Russian Federation, Leninskie Gory, Moscow, 119991

B. V. Simonov

Volgograd State Technical University

Email: mkpotapov@mail.ru
Russian Federation, 28 Lenin av., Volgograd, 400005

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