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Some new integral means inequalities and inclusion properties for a class of analytic functions involving certain integral operators

R. K. Raina|Deepak Bansal
영남수학회 (Youngnam Mathematical Society)|2008.09|East Asian Mathematical Journal|제24권 제4호|pp. 347-358

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analytic functionssubordinationHadamard productRuscheweyh derivativestarlike functions and convex functions.
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초록

In this paper we investigate integral means inequalities for the integral operators Q^μ_λ and P^μ_λ applied to suitably normalized analytic functions. Further, we obtain some neighborhood and inclusion properties for a class of functions G_α(φ, ψ) (defined below). Several corollaries exhibiting the applications of the main results are considered in the concluding section.

Abstract

In this paper we investigate integral means inequalities for the integral operators Q^μ_λ and P^μ_λ applied to suitably normalized analytic functions. Further, we obtain some neighborhood and inclusion properties for a class of functions G_α(φ, ψ) (defined below). Several corollaries exhibiting the applications of the main results are considered in the concluding section.

참고문헌 (15)

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