SOME NEW INTEGRAL MEANS INEQUALITIES AND INCLUSION PROPERTIES FOR A CLASS OF ANALYTIC FUNCTIONS INVOLVING CERTAIN INTEGRAL OPERATORS

  • Raina, R.K. (10/11, GANPATI VIHAR, OPPOSITE SECTOR 5) ;
  • Bansal, Deepak (DEPARTMENT OF MATHEMATICS, COLLEGE OF ENGINEERING AND TECHNOLOGY)
  • Published : 2008.09.30

Abstract

In this paper we investigate integral means inequalities for the integral operators $Q_{\lambda}^{\mu}$ and $P_{\lambda}^{\mu}$ applied to suitably normalized analytic functions. Further, we obtain some neighborhood and inclusion properties for a class of functions $G{\alpha}({\phi}, {\psi})$ (defined below). Several corollaries exhibiting the applications of the main results are considered in the concluding section.