Ibrahim, R. W. Darus, M.
Published in
Lobachevskii Journal of Mathematics

In this article, we illustrate sufficient conditions for subordination and superordination for a subclass of analytic functions containing a Hadamard and Noor integral operator.

Faheem, K. Mustafa, G.
Published in
Lobachevskii Journal of Mathematics

We present ternary six-point interpolating subdivision scheme with one shape parameter for curve design. The behavior of the limit curve defined by the scheme is analyzed in terms of the Laurent polynomial and attains C2 degree of smoothness.

Hila, K.
Published in
Lobachevskii Journal of Mathematics

We give some characterizations of quasi-ideals in Γ-semigroups and some characterizations of the regularity of a Γ-semigroup in terms of left, right, quasi-and bi-ideals. Also, we introduce and give some characterizations of semiprime and quasi-reflexive Γ-semigroups in terms of minimal and canonical quasi-ideals generalizing those for semigroups.

Fukuyama, K. Takeuchi, Y.
Published in
Lobachevskii Journal of Mathematics

We give a simple proof of the law of the iterated logarithm for subsequences of sums of i.i.d.

Van An, Tran Van Dung, Nguyen
Published in
Lobachevskii Journal of Mathematics

We introduce the notion of an ls-Ponomarev system (f,M,X, \documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$ \{ \mathcal{P}_\lambda \} $$\end{document}), and use this not...

Prokip, V. M.
Published in
Lobachevskii Journal of Mathematics

We establish conditions for the existence of a unique solution of the matrix polynomial equation A(λ)X(λ) − Y(λ)B(λ) = C(λ) over an arbitrary field.

Murugusundaramoorthy, G. Rosy, T. Muthunagai, K.
Published in
Lobachevskii Journal of Mathematics

Making use of the convolution product, we introduce a unified class of analytic functions with negative coefficients. Also, we obtain the coefficient bounds, extreme points, and radius of starlikeness for functions belonging to the generalized class PgT (λ, α, β). Furthermore, partial sums fk(z) of functions f(z) in the class Pg(λ, α, β) are consid...

Vijaywargiya, P.
Published in
Lobachevskii Journal of Mathematics

In this paper, a new subclass of meromorphic multivalent functions is defined in the punctured unit disk E* by making use of a general fractional differ-integral operator. Coefficient estimates as well as growth and distortion and closure theorems for our subclass are established.

Abedi, H. Alekseevsky, D. V. Kashani, S. M. B.
Published in
Lobachevskii Journal of Mathematics

We classify cohomogeneity one G-manifolds M of a simple Lie group G such that one of the singular orbits is a simply connected symmetric space. We give a simple necessary and sufficient condition that a singular orbit P of a cohomogeneity one Riemannian G-manifold is totally geodesic. Using it, we obtain a list of cohomogeneity one G-manifolds M as...

Zhu, C. S.
Published in
Lobachevskii Journal of Mathematics

In this paper, by an appropriate decomposition of the evolution operator into decreasing and compact components, we prove the Gevrey regularity of the global attractor for the Sobolev-Galpern equation. This result means that elements of the attractor are real analytic functions in spatial variables.