Research Article

Volterra type operator on the convex functions

Volume: 47 Number: 1 February 1, 2018
EN

Volterra type operator on the convex functions

Abstract

In this paper we study the Volterra type operatör $I_g$ on convex functions. Furthermore, some new properties for convex, starlike and spirallike
functions of complex order are discussed.

Keywords

References

  1. CHUAQUI, M., DUREN, P. L., OSGOOD, B.: Schwarzian derivatives of convex mapping, Annales Academiae Scientiarum Fennicae Mathematica. V. 39, (2011), 449–460.
  2. DUREN, P. L.: Univalent Univalent functions, Springer-Verlag New York, 1983.
  3. GRAHAM, I., KOHR, G.: Geometric function theory in one and higher dimensions, Marcel Dekker, Inc New York, 2003.
  4. HAYAMI, T., OWA, S.: New properties for starlike and convex functions of complex order, Int. J. Math. Analysis, V. 4 (2007), 39–62.
  5. HAYAMI, T., OWA, S., SRIVASTAVA, H, M.: Coefficient inequalities for certain classes of analytic and univalent function, J. Ineq. Pure and Appl. Math. V. 8 (2007), 1–10.
  6. NEHARI, Z.: A property of convex conformal maps, J. Analyse Math. 30, (1976), 390–393.
  7. LI, S.: Volterra composition operators between weighted Bergman spaces and Bloch-type spaces, J. Korean Math. Soc, 45 no. 1 (2008), 229–248.
  8. LI, S., STEVIC, S.: Products of composition and integral type operator from H1 to the Bloch space, Complex Variable Elliptic Functions, 53 no. 5 (2008), 463–474.

Details

Primary Language

English

Subjects

Mathematical Sciences

Journal Section

Research Article

Authors

Ali Ebadian This is me

Publication Date

February 1, 2018

Submission Date

August 4, 2015

Acceptance Date

February 21, 2017

Published in Issue

Year 2018 Volume: 47 Number: 1

APA
Ebadian, A., & Sokół, J. (2018). Volterra type operator on the convex functions. Hacettepe Journal of Mathematics and Statistics, 47(1), 57-67. https://izlik.org/JA58PX24SJ
AMA
1.Ebadian A, Sokół J. Volterra type operator on the convex functions. Hacettepe Journal of Mathematics and Statistics. 2018;47(1):57-67. https://izlik.org/JA58PX24SJ
Chicago
Ebadian, Ali, and Janusz Sokół. 2018. “Volterra Type Operator on the Convex Functions”. Hacettepe Journal of Mathematics and Statistics 47 (1): 57-67. https://izlik.org/JA58PX24SJ.
EndNote
Ebadian A, Sokół J (February 1, 2018) Volterra type operator on the convex functions. Hacettepe Journal of Mathematics and Statistics 47 1 57–67.
IEEE
[1]A. Ebadian and J. Sokół, “Volterra type operator on the convex functions”, Hacettepe Journal of Mathematics and Statistics, vol. 47, no. 1, pp. 57–67, Feb. 2018, [Online]. Available: https://izlik.org/JA58PX24SJ
ISNAD
Ebadian, Ali - Sokół, Janusz. “Volterra Type Operator on the Convex Functions”. Hacettepe Journal of Mathematics and Statistics 47/1 (February 1, 2018): 57-67. https://izlik.org/JA58PX24SJ.
JAMA
1.Ebadian A, Sokół J. Volterra type operator on the convex functions. Hacettepe Journal of Mathematics and Statistics. 2018;47:57–67.
MLA
Ebadian, Ali, and Janusz Sokół. “Volterra Type Operator on the Convex Functions”. Hacettepe Journal of Mathematics and Statistics, vol. 47, no. 1, Feb. 2018, pp. 57-67, https://izlik.org/JA58PX24SJ.
Vancouver
1.Ali Ebadian, Janusz Sokół. Volterra type operator on the convex functions. Hacettepe Journal of Mathematics and Statistics [Internet]. 2018 Feb. 1;47(1):57-6. Available from: https://izlik.org/JA58PX24SJ