Inequalities Involving Certain Families of Integral and Convolution Operators

Abstract

The main object of the present paper is to derive several strict inequalities associated with some families of integral and convolution operators which are defined for the class of normalized analytic functions in the open unit disk. A number of interesting consequences of these inequalities are also considered. Mathematics subject classification (2000): 30C45, 26A33, 33B15. Keywordsandphrases: Integral operators, convolutionoperators, analytic functions, Hadamardproduct or convolution, multiplier transformation, fractional integral, fractional derivative, Ruscheweyh derivative, Jack’s lemma.