On an Equivalency of Rare Differentiation Bases of Rectangles


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Abstract

The paper considers differentiation properties of density bases formed of bounded open sets.We prove that two quasi-equivalent subbases of some density basis differentiate the same class of non-negative functions. Applications for bases formed of rectangles are discussed.

About the authors

M. H. Safaryan

Institute of Mathematics of Armenian NAS; King Abdullah University of Science & Technology

Author for correspondence.
Email: mher.safaryan@gmail.com
Armenia, Yerevan; Thuwal

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