On an Equivalency of Rare Differentiation Bases of Rectangles

M. H. Safaryan

doi:10.3103/S1068362318010090

On an Equivalency of Rare Differentiation Bases of Rectangles

M. H. Safaryan^*

^*Corresponding author for this work

Computer, Electrical and Mathematical Sciences and Engineering

Research output: Contribution to journal › Article › peer-review

1 Scopus citations

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.

Original language	English (US)
Pages (from-to)	56-60
Number of pages	5
Journal	Journal of Contemporary Mathematical Analysis
Volume	53
Issue number	1
DOIs	https://doi.org/10.3103/S1068362318010090
State	Published - Jan 1 2018

Keywords

Dyadic rectangles
differentiation basis
rare basis

ASJC Scopus subject areas

Analysis
Control and Optimization
Applied Mathematics

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10.3103/S1068362318010090

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title = "On an Equivalency of Rare Differentiation Bases of Rectangles",

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.",

keywords = "Dyadic rectangles, differentiation basis, rare basis",

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KW - Dyadic rectangles

KW - differentiation basis

KW - rare basis

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On an Equivalency of Rare Differentiation Bases of Rectangles

Abstract

Keywords

ASJC Scopus subject areas

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