An integral operator on the classes S*(α) and CVH(β)

Nicoleta Ularu; Nicoleta Breaz

Annales UMCS, Mathematica (2013)

  • Volume: 67, Issue: 2, page 53-58
  • ISSN: 2083-7402

Abstract

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The purpose of this paper is to study some properties related to convexity order and coefficients estimation for a general integral operator. We find the convexity order for this operator, using the analytic functions from the class of starlike functions of order α and from the class CVH(β) and also we estimate the first two coefficients for functions obtained by this operator applied on the class CVH(β).

How to cite

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Nicoleta Ularu, and Nicoleta Breaz. "An integral operator on the classes S*(α) and CVH(β)." Annales UMCS, Mathematica 67.2 (2013): 53-58. <http://eudml.org/doc/268132>.

@article{NicoletaUlaru2013,
abstract = {The purpose of this paper is to study some properties related to convexity order and coefficients estimation for a general integral operator. We find the convexity order for this operator, using the analytic functions from the class of starlike functions of order α and from the class CVH(β) and also we estimate the first two coefficients for functions obtained by this operator applied on the class CVH(β).},
author = {Nicoleta Ularu, Nicoleta Breaz},
journal = {Annales UMCS, Mathematica},
keywords = {Analytic function; integral operator; starlike function; convex function; coefficients estimation; analytic function},
language = {eng},
number = {2},
pages = {53-58},
title = {An integral operator on the classes S*(α) and CVH(β)},
url = {http://eudml.org/doc/268132},
volume = {67},
year = {2013},
}

TY - JOUR
AU - Nicoleta Ularu
AU - Nicoleta Breaz
TI - An integral operator on the classes S*(α) and CVH(β)
JO - Annales UMCS, Mathematica
PY - 2013
VL - 67
IS - 2
SP - 53
EP - 58
AB - The purpose of this paper is to study some properties related to convexity order and coefficients estimation for a general integral operator. We find the convexity order for this operator, using the analytic functions from the class of starlike functions of order α and from the class CVH(β) and also we estimate the first two coefficients for functions obtained by this operator applied on the class CVH(β).
LA - eng
KW - Analytic function; integral operator; starlike function; convex function; coefficients estimation; analytic function
UR - http://eudml.org/doc/268132
ER -

References

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  1. [1] Acu, M., Owa, S., Convex functions associated with some hyperbola, J. Approx. Theory Appl. 1 (1) (2005), 37-40. Zbl1113.30011
  2. [2] Breaz, N., Breaz, D., Acu, M., Some properties for an integral operator on the CVH(β)-class , IJOPCA 2 (1) (2010), 53-58. 
  3. [3] Pescar, V., The univalence of an integral operator, Gen. Math. 19 (4) (2011), 69-74. Zbl1265.30086
  4. [4] Robertson, M. S., Certain classes of starlike functions, Michigan Math. J. 76 (1) (1954), 755-758. 
  5. [5] Ularu, N., Convexity properties for an integral operator, Acta Univ. Apulensis Math. Inform. 27 (2011), 115-120. Zbl1265.30100

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