In this paper, we investigate uniqueness problems of meromorphic functions sharing a small function with their differential polynomials, and give some results which are related to a conjecture of R. Brck, and also improve several previous results.

We prove some uniqueness theorems of meromorphic functions sharing three values which improves some results of Banerjee.

In this paper, we establish new inequalities of Ostrowski's type for functions whose derivatives in absolute value are (, m)-convex.

In this paper, we present some results concerning orthogonal generalized ()-derivations in semiprime near-rings. These results are a generalization of result of Bresar and Vukman, which are related to a theorem of Posner for the product of two derivations in prime rings.

In this paper we introduce the new generalized difference sequence space (, M,p,q,s), (,M,p,q,s), (,M,p,q,s), m(,M,p,q,s) and (,M,p,q,s) defined over a seminormed sequence space (X,q). We study some of it properties, like completeness, solidity, symmetricity etc. We obtain some relations between these spaces as well as prove some inclusion result.

In this paper, we establish several new inequalities for some differantiable mappings that are connected with the celebrated Hermite-Hadamard integral inequality. Some applications for special means of real numbers are also provided.

Some characterizations of regular -rings are described by means of fuzzy ideals. The concepts of fuzzy interior ideals in -rings and semisimple -rings are introduced. Some characterizations of semisimple -rings are investigated by means of fuzzy interior ideals.

A low-order finite element preconditioner is analyzed for a cubic spline collocation method which is used for discretizations of coupled elliptic problems derived from an optimal control problrm subject to an elliptic equation. Some numerical evidences are also provided.

Although, interesting properties on the partial sums of analytic univalent functions have been investigated extensively by several researchers, yet analogous results on partial sums of harmonic univalent functions have not been so far explored. The main purpose of the present paper is to establish some new and interesting results on the ratio of starlike harmonic univalent function to its sequences of partial sums.

In this paper, we investigate the uniqueness problems of meromorphic functions that share a small function with its differential polynomials, and give a result which is related to a conjecture of R. Brck and improve the results of I. Lahiri and Q. C. Zhang.