The theory of  continuous frames in Hilbert spaces is extended, by using the concepts of measure spaces, in order to get the results of a new application of operator theory.  The $K$-frames were  introduced by G$breve{mbox{a}}$vruta (2012) for Hilbert spaces to study atomic systems with respect to a bounded linear operator. Due to the structure of  $K$-frames, there are many differences between...

The current study is fully devoted to studying differential subordination and superordination theorems of analytic functions with some sandwich results involving linear operators Iλs,a,μ. This operator was obtained by the Hadamard product family integral Hurwitlz-Lerch Zeta function. demonstrate possibility capability extracting Sandwich theorem, conclusion includes superordination.