Výsledky vyhledávání - "A. N. Agadzhanov"

On Some Properties of Superreflexive Besov Spaces

Autor: A. N. Agadzhanov

Publikováno v: Doklady Mathematics. 101:177-181

This paper contains results concerning superreflective Besov spaces $$B_{{p,q}}^{s}({{\mathbb{R}}^{n}})$$ . Namely, expressions for convexity moduli and smoothness moduli with respect to the “canonical” norms are derived, and properties related t

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_________::e67576f6330d04edacaf32494ac29155
https://doi.org/10.1134/s1064562420030035

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Peano-type curves, Liouville numbers, and microscopic sets

Autor: A. N. Agadzhanov

Publikováno v: Доклады Академии наук. 485:7-10

Peano-type curves in multidimensional Euclidean space are considered in terms of number theory. In contrast to curves constructed by D. Hilbert, H. Lebesgue, V. Sierpinski, and others, this paper presents results showing that each such curve is a con

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::42660060f64d794de8c2e597770bc390
https://doi.org/10.31857/s0869-565248417-10

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Everywhere Differentiable Functions without Monotonicity Intervals and Transcendental Numbers

Autor: A. N. Agadzhanov

Publikováno v: Doklady Mathematics. 97:219-222

The class of everywhere differentiable functions without monotonicity intervals is considered in terms of number theory. A number-theoretic representation of the set of points of the unit interval is constructed using the classification of transcende

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_________::d79c9df298c1ebe5d6e59bea3f391a2d
https://doi.org/10.1134/s1064562418030067

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Fractal functions with continuous Weil-type derivatives of variable order in control of distributed systems

Autor: A. N. Agadzhanov

Publikováno v: Doklady Mathematics. 95:109-112

Properties of fractal functions which are not differentiable in the classical sense but have continuous Weil-type derivatives of variable order at each point are studied. It is shown that the Weierstrass, Takagi, and Besicovitch classical fractal fun

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_________::8dd9b4de2e14269507de9d961a365df8
https://doi.org/10.1134/s1064562417020016

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