New general integral operator

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Abstract

For αi,βi positive real numbers for all i=1,...,n, we introduce a new integral operator of analytic functions I αi,βi(f1,...,fn)(z) defined by Iαi,βi(f1,..., fn)(z)=∫0z∏i=1n(fi′(t))αi( fi(t)t)βidt. In this paper, we obtain sufficient conditions for this operator to be in the class N(δ). Furthermore, we determine the order of convexity of Iαi, βi(f1,...,fn)(z). © 2011 Elsevier Ltd. All rights reserved.

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APA

Frasin, B. A. (2011). New general integral operator. Computers and Mathematics with Applications, 62(11), 4272–4276. https://doi.org/10.1016/j.camwa.2011.10.016

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