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Convexity properties for some general integral operators on uniformly analytic functions classes. (English) Zbl 1207.41012
Summary: The authors prove some properties for two general integral operators on the classes $\beta-UCV(\alpha)$ and $\beta-\cal S_p(\alpha)$.

MSC:
41A30Approximation by other special function classes
65D05Interpolation (numerical methods)
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Full Text: DOI
References:
[1] Darus, M.: Certain class of uniformly analytic functions, Acta Mathematica academiae paedagogicae nyiregyhaziensis 24, 345-353 (2008) · Zbl 1164.30332
[2] Breaz, D.; Owa, S.; Breaz, N.: A new integral univalent operator, Acta universitatis apulensis 16, 11-16 (2008) · Zbl 1212.30031
[3] Breaz, D.; Breaz, N.: Two integral operators, Studia universitatis babeş-bolyai, Mathematica, cluj-napoca 3, 13-21 (2002) · Zbl 1027.30018