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pro vyhledávání: '"G. A. Karagulyan"'
Publikováno v:
Mathematical Notes. 110:196-209
approximate identities on metric measure spaces are considered in this paper. We find exact conditions on the geometry of domains for which the convergence of approximate identities occurs almost everywhere for functions from the spaces $$L^p$$ , $$p
Autor:
G. A. Karagulyan, D. A. Karagulyan
Publikováno v:
Journal of Contemporary Mathematical Analysis. 49:334-351
The paper considers a question of characterization of the sets of nondifferentiability points of integrals with respect to the bases of rectangles and squares. In particular, a complete characterization of uncertainty sets for the integrals of functi
Autor:
G. A. Karagulyan
Publikováno v:
Sbornik: Mathematics. 200:521-548
In this paper we investigate problems on almost everywhere convergence of subsequences of Riemann sums \md0 R_nf(x)=\frac{1}{n}\sum_{k=0}^{n-1}f\bigg(x+\frac{k}{n}\bigg),\quad x\in \ZT. \emd We establish a relevant connection between Riemann and ordi
Autor:
G A Karagulyan
Publikováno v:
Russian Academy of Sciences. Sbornik Mathematics. 78:11-33
Random measures of the form are considered, where is a unit mass concentrated at the point . For any sequence of natural numbers it is established that for almost all sequences the partial sums of the Fourier-Stieltjes series of the measure have orde