Zobrazeno 1 - 10
of 16
pro vyhledávání: '"G. Z. Chelidze"'
Publikováno v:
Mathematical Notes. 111:478-483
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::20385f054f6cbcc8bfdafb08c7ba3bc6
https://doi.org/10.1134/s0001434622030154
https://doi.org/10.1134/s0001434622030154
Publikováno v:
Matematicheskie Zametki. 111:451-458
В работе показано, что если в банаховом пространстве каждое ограниченное множество имеет чебышевский центр, то в этом пространстве пере
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::3565064606bae94c73cb556618f3e73a
https://doi.org/10.4213/mzm13279
https://doi.org/10.4213/mzm13279
Publikováno v:
Journal of Mathematical Sciences. 216:519-521
In this paper, we obtain a result which implies, in particular, that for a quaternion z ∉ {−1, 1} with |z| = 1, the sum range of the series \( {\displaystyle \sum_n\frac{z^n}{n}} \) is a closed proper subfield of the division ring of quaternions
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::154eba8f9a6e8dc417cd838928715744
https://doi.org/10.1007/s10958-016-2908-9
https://doi.org/10.1007/s10958-016-2908-9
Autor:
N. N. Vakhania, G. Z. Chelidze
Publikováno v:
gmj. 17:629-634
In the present paper we construct an example of a quaternion random variable such that Polya's type characterization theorem of Gaussian distributions does not hold. The matter is that in the linear form, consisting of the independent copies of quate
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::1dd9da0ebf98b9fb2347387a6566bba1
https://doi.org/10.1515/gmj.2010.036
https://doi.org/10.1515/gmj.2010.036
Autor:
N. N. Vakhania, G. Z. Chelidze
Publikováno v:
Theory of Probability & Its Applications. 54:363-369
The main result of this paper is the formulation and proof of Polya's characterization theorem of Gaussian random variables with values in quaternion algebras. We begin with some preliminary information about quaternions and quaternion random variabl
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::86c6b32b8792998c9480b3a112999aa0
https://doi.org/10.1137/s0040585x97984176
https://doi.org/10.1137/s0040585x97984176
Autor:
N. N. Vakhania, G. Z. Chelidze
Publikováno v:
Teoriya Veroyatnostei i ee Primeneniya. 54:337-344
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::20ba9aee223bad92f4b04d584e00238e
https://doi.org/10.4213/tvp2706
https://doi.org/10.4213/tvp2706
Autor:
P L Papini, G Z Chelidze
Publikováno v:
Matematicheskie Zametki. 80:449-455
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::b25e4dc92d2f32d377a3678a4b3b502e
https://doi.org/10.4213/mzm2831
https://doi.org/10.4213/mzm2831
Autor:
G. Z. Chelidze
Publikováno v:
Journal of Mathematical Analysis and Applications. 298:106-113
We consider a real function which depends on the distances between a variable point and the points of a finite subset A of a linear normed space X. We show that X is an inner product space if this function attains its local minimum on a barycenter of
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::2906f57e55faa5b013b274251a420396
https://doi.org/10.1016/j.jmaa.2004.03.072
https://doi.org/10.1016/j.jmaa.2004.03.072
Autor:
G. Z. Chelidze
Publikováno v:
gmj. 8:231-236
It is well known that for the Hilbert space H the minimum value of the functional F μ (f) = ∫ H ‖f – g‖2 dμ(g), f ∈ H, is achived at the mean of μ for any probability measure μ with strong second moment on H. We show that the validity o
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::dd1d77de60673862ef60353856ad336f
https://doi.org/10.1515/gmj.2001.231
https://doi.org/10.1515/gmj.2001.231
Autor:
G. Z. Chelidze
Publikováno v:
Mathematical Notes. 68:263-269
To study intersections of embedded bounded closed sets in Banach space, a numerical parameter was introduced earlier; in a certain sense, this parameter describes the deviation of the shape of a set from that of a sphere. Critical values of this para
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::155a4a8a9c975383d710bcff381018f0
https://doi.org/10.1007/bf02675352
https://doi.org/10.1007/bf02675352