- Research Article
- Open Access
Integral Means Inequalities for Fractional Derivatives of a Unified Subclass of Prestarlike Functions with Negative Coefficients
Journal of Inequalities and Applications volume 2007, Article number: 097135 (2007)
Integral means inequalities are obtained for the fractional derivatives of order of functions belonging to a unified subclass of prestarlike functions. Relevant connections with various known integral means inequalities are also pointed out.
Duren PL: Univalent Functions, Grundlehren der Mathematischen Wissenschaften. Volume 259. Springer, New York, NY, USA; 1983:xiv+382.
Srivastava HM, Owa S (Eds): Current Topics in Analytic Function Theory. World Scientific, River Edge, NJ, USA; 1992:xiv+456.
Sheil-Small T, Silverman H, Silvia E: Convolution multipliers and starlike functions. Journal d'Analyse Mathématique 1982, 41: 181–192.
Owa S, Uralegaddi BA: A class of functions-prestarlike of order. Bulletin of the Korean Mathematical Society 1984,21(2):77–85.
Srivastava HM, Aouf MK: Some applications of fractional calculus operators to certain subclasses of prestarlike functions with negative coefficients. Computers & Mathematics with Applications 1995,30(1):53–61. 10.1016/0898-1221(95)00067-9
Raina RK, Srivastava HM: A unified presentation of certain subclasses of prestarlike functions with negative coefficients. Computers & Mathematics with Applications 1999,38(11–12):71–78. 10.1016/S0898-1221(99)00286-2
Owa S: On the distortion theorems. I. Kyungpook Mathematical Journal 1978,18(1):53–59.
Srivastava HM, Owa S (Eds): Univalent Functions, Fractional Calculus, and Their Applications, Ellis Horwood Series: Mathematics and Its Applications. Ellis Horwood, Chichester, UK; John Wiley & Sons, New York, NY, USA; 1989:404.
Littlewood JE: On inequalities in the theory of functions. Proceedings of the London Mathematical Society 1925,23(1):481–519. 10.1112/plms/s2-23.1.481
About this article
Cite this article
Güney, H., Owa, S. Integral Means Inequalities for Fractional Derivatives of a Unified Subclass of Prestarlike Functions with Negative Coefficients. J Inequal Appl 2007, 097135 (2007). https://doi.org/10.1155/2007/97135
- Fractional Derivative
- Negative Coefficient
- Relevant Connection
- Prestarlike Function
- Unify Subclass