Convexity of Certain q-Integral Operators of p-Valent Functions. (12th May 2014)

• Record Type: Journal Article
• Authors: Selvakumaran, K. A.; Purohit, S. D.; Secer, Aydin; Bayram, Mustafa
• Other Names: Wang Guotao Academic Editor.
• Is Part Of: Abstract and applied analysis. Volume 2014(2014)
• Publication Date: 2014-05-12
• Subjects: Mathematical analysis -- Periodicals; Mathematical analysis; Applied Mathematics; Mathematical Analysis; Periodicals; 515.05
• DOI: 10.1155/2014/925902
• Languages: English
• ISSNs: 1085-3375

Abstract

Abstract : By applying the concept (and theory) of fractional q -calculus, we first define and introduce two new q -integral operators for certain analytic functions defined in the unit disc 𝒰 . Convexity properties of these q -integral operators on some classes of analytic functions defined by a linear multiplier fractional q -differintegral operator are studied. Special cases of the main results are also mentioned.