## Main differential sandwich theorem with some applications

Published in Lobachevskii Journal of Mathematics

Let q1, q2 be univalent in Δ:= {z: |z|

Published in Lobachevskii Journal of Mathematics

Let q1, q2 be univalent in Δ:= {z: |z|

Published in Lobachevskii Journal of Mathematics

In this paper, we introduce a generalized class of starlike functions and obtain the subordination results for various subclasses of starlike functions. Further, we obtain the integral means inequalities for various subclasses of starlike functions. Some interesting consequences of our results are also pointed out.

Published in Lobachevskii Journal of Mathematics

Themain goal of the present study is to give some estimations for upper bound and lower bound of some matrix operators on weighted sequence spaces d(w, p) and lp(w). We considered this problem for certain matrix operators such as Nörlund, Weighted mean, Ceasàro and Copson matrices, which is recently considered in [7–13]. Also, this study is an exte...

Published in Lobachevskii Journal of Mathematics

The study of constancy of holomorphic sectional curvature of almost Hermitian manifolds was initiated by S. Tanno [8]. He provided an algebraic characterization for an almost Hermitian manifold to reduce to a space of constant holomorphic sectional curvature, which he later extended for Sasakian manifolds as well. In the present paper authors consi...

Published in Lobachevskii Journal of Mathematics

In this paper we prove that a (2, n − 2)-manifold admitting an imaginary Killing spinor with nontrivial Dirac current, is at least locally a codimension one warped product with a special warping function. Hence, a (2, 2)-manifold admitting such an imaginary Killing spinor is Einstein iff it is conformally flat.

Published in Lobachevskii Journal of Mathematics

We give formulæ for two distinct local homotopy operators for the horizontal differential in the variational bicomplex. We deduce two different representations of the classes of forms in the Euler-Lagrange complex, and hence two different versions of the Helmholtz-Sonin equations for the local variationality of a source form. We give explicit relat...

Published in Lobachevskii Journal of Mathematics

The chain recurrent set of an Anosov three-dimensional vector field (e.g. [3]) is an example of a non-transitive singular-hyperbolic attracting set containing hyperbolic repellers. Observe that this example has no singularities. In this paper we construct a C∞ three-dimensional vector field that exhibits a singular-hyperbolic attracting set contain...

Published in Lobachevskii Journal of Mathematics

In this paper, a new iterative scheme for approximating common fixed points of two asymptotically nonexpansive nonself-mappings is defined, and weak and strong convergence theorems are established for the new iterative scheme in a uniformly convex Banach space.

Published in Lobachevskii Journal of Mathematics

Intra-regular ordered semigroups play an essential role in studying the structure, especially the decomposition of ordered semigroups. In this paper we study some intra-regular ordered semigroups using fuzzy sets. We give, among others, characterizations of intra-regular, and both regular and intra-regular ordered semigroups, in terms of fuzzy sets...

Published in Lobachevskii Journal of Mathematics

In this paper we establish λ-central BMO estimates for the multilinear commutator related to the fractional integral operator in central Morrey spaces on homogeneous spaces, and so does the multilinear commutator of the fractional maximal operator.