The Noor integral operator and strongly close-to-convex functions

The Komatu Integral Operator and Strongly Close-to-convex Functions

In this paper we introduce some new subclasses of strongly closeto-convex functions de…ned by using the Komatu integral operator and study their inclusion relationships with the integral preserving properties. Theorem[section] [theorem]Lemma [theorem]Proposition [theorem]Corollary Remark

Higher order close-to-convex functions associated with Attiya-Srivastava operator

In this paper‎, ‎we introduce a new class$T_{k}^{s,a}[A,B,alpha‎ ,‎beta ]$ of analytic functions by using a‎ ‎newly defined convolution operator‎. ‎This class contains many known classes of‎ ‎analytic and univalent functions as special cases‎. ‎We derived some‎ ‎interesting results including inclusion relationships‎, ‎a radius problem and‎ ‎sharp coefficient bound for this class‎.

New Classes of Analytic Functions Involving Generalized Noor Integral Operator

Certain Integral Operator and Strongly Starlike Functions

Jensen’s Operator Inequality for Strongly Convex Functions

We give a Jensen’s operator inequality for strongly convex functions. As a corollary, we improve Hölder-McCarthy inequality under suitable conditions. More precisely we show that if Sp (A) ⊂ I ⊆ (1,∞), then 〈Ax, x〉 r ≤ 〈Ax, x〉 − r − r 2 (