The main object of this paper is to introduce and study systematically the univalence criteria of a new family of integral operators by using a substantially general form of the widely-investigated Srivastava-Attiya operator. In particular, we derive several new sufficient conditions of univalence for this generalized Srivastava-Attiya operator. Relevant connections with other related earlier works are also pointed out.
The main goal of this paper, is to extend the concept of condition pseudospectrum to the case of closed linear relations pencils and to reveal some of their properties. We will start by giving the definition and then we will focus on the characterization and some results concerning these pseudospectra.
The main goal of this paper is to introduce the condition pseudospectrum of
multivalued linear operators and prove several relations to the usual
spectrum. We start by giving the definition then we focus on the
characterization, the stability and some of their properties.
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