Serdica Mathematical Journal

Volume 43, Numbers 3−4, 2017




C O N T E N T S

· Iliev, V. On a generalization of Markowitz preference relation (pp. 211−220)
· Dogadova, T. V., M. I. Kusainov, V. A. Vasiliev. Truncated estimation method and applications (pp. 221−266)
· El Hajioui, K., D. Mentagui. Caractérisation d'une classe de convergences de fonctions convexes et application à la t-épi/hypo-convergence de fonctions convexes-concaves (pp. 267−292)
· Sendov, H. S., J. Xiao. Tauberian theorems for the mean of Lebesgue-Stieltjes integrals (pp. 293−320)
· Chen, B.-Y. Euclidean submanifolds with incompressible canonical vector field (pp. 321−334)
· Szabó, S. Methods for constructing factorizations of abelian groups with applications (pp. 335−360)
· Blaga, A. M. A note on almost η-Ricci solitons in Euclidean hypersurfaces (pp. 361−368)
· Aydın, E. Primitive decomposition of elements of the free metabelian Lie algebra of rank two (pp. 369−374)


A B S T R A C T S


ON A GENERALIZATION OF MARKOWITZ PREFERENCE RELATION
Valentin Vankov Iliev viliev@math.bas.bg

2010 Mathematics Subject Classification: 06A99, 54A20, 91G10.
Key words: {mean-variance theory, efficient financial portfolio, Markowitz preference relation, topological space.


TRUNCATED ESTIMATION METHOD AND APPLICATIONS
Tatiana V. Dogadova aurora1900@mail.ru
Marat I. Kusainov rjrltsk@gmail.com
Vyacheslav A. Vasiliev vas@mail.tsu.ru

2010 Mathematics Subject Classification: 60G25, 62M20, 60G52, 60J60, 62F12, 93E10.
Key words: Adaptive optimal prediction, dynamic systems, autoregressive processes, stochastic differential equations, stochastic differential equations with time delay, risk function; guaranteed parameter estimation.


CARACTÉRISATION D'UNE CLASSE DE CONVERGENCES DE FONCTIONS CONVEXES ET APPLICATION À LA t-ÉPI/HYPO-CONVERGENCE DE FONCTIONS CONVEXES-CONCAVES
K. El Hajioui,
D. Mentagui dri_mentagui@yahoo.fr

2010 Mathematics Subject Classification: 49J45, 49J52, 49J40, 47N10.
Key words: Fonction convexe (convexe-concave), convergences variationnelles, t-convergence, t-épi/hypo-convergence, référentiel, approximation inf (inf&\minus;sup)-convolutive, Lagrangien augmenté, convergence simple, convergence uniforme sur les bornés.


TAUBERIAN THEOREMS FOR THE MEAN OF LEBESGUE-STIELTJES INTEGRALS
Hristo S. Sendov hssendov@stats.uwo.ca,
Junquan Xiao jxiao48@uwo.ca

2010 Mathematics Subject Classification: Primary 40A05, 40A10, 40E05; Secondary 28A25.
Key words: Tauberian theorem, Lebegue-Stieltjes integral, statistical limit, slowly decreasing sequence.


EUCLIDEAN SUBMANIFOLDS WITH INCOMPRESSIBLE CANONICAL VECTOR FIELD
Bang-Yen Chen chenb@msu.edu

2010 Mathematics Subject Classification: 53A07, 53C40, 53C42.
Key words: Euclidean submanifold, canonical vector field, conservative vector field, incompressible vector field.


METHODS FOR CONSTRUCTING FACTORIZATIONS OF ABELIAN GROUPS WITH APPLICATIONS
S. Szabó sszabo7@hotmail.com

2010 Mathematics Subject Classification: 53A07, 53C42.
Key words: Dupin hypersurfaces, Lie curvature, Laplace invariants, lines of curvature.



R. Dangovski rumenrd@mit.edu,
C. Lalov chavdar.lalov@gmail.com

2010 Mathematics Subject Classification: 05A15, 05C38, 05C81, 60G50, 82B41.
Key words: self-avoiding walks, connective constant, honeycomb lattice, asymptotic behaviour.


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