An Application of Convolution Integral

Nishiwaki, Junichi, and Owa, Shigeyoshi. "An Application of Convolution Integral." Fractional Calculus and Applied Analysis 13.4 (2010): 395-402. <http://eudml.org/doc/219619>.

@article{Nishiwaki2010,
abstract = {MSC 2010: 30C45Applying the Bernardi integral operator, an interesting convolution integral is introduced. The object of the present paper is to derive some convolution integral properties of functions f(z) to be in the subclasses of the classes S*(α) and Κ(α) by making use of their coefficient inequalities.},
author = {Nishiwaki, Junichi, Owa, Shigeyoshi},
journal = {Fractional Calculus and Applied Analysis},
keywords = {Analytic Function; Starlike Function; Convex Function; Convolution; Hölder Inequality; Bernardi Integral Operator; starlike function; convex function; convolution; Bernardi integral operator},
language = {eng},
number = {4},
pages = {395-402},
publisher = {Institute of Mathematics and Informatics Bulgarian Academy of Sciences},
title = {An Application of Convolution Integral},
url = {http://eudml.org/doc/219619},
volume = {13},
year = {2010},
}

TY - JOUR
AU - Nishiwaki, Junichi
AU - Owa, Shigeyoshi
TI - An Application of Convolution Integral
JO - Fractional Calculus and Applied Analysis
PY - 2010
PB - Institute of Mathematics and Informatics Bulgarian Academy of Sciences
VL - 13
IS - 4
SP - 395
EP - 402
AB - MSC 2010: 30C45Applying the Bernardi integral operator, an interesting convolution integral is introduced. The object of the present paper is to derive some convolution integral properties of functions f(z) to be in the subclasses of the classes S*(α) and Κ(α) by making use of their coefficient inequalities.
LA - eng
KW - Analytic Function; Starlike Function; Convex Function; Convolution; Hölder Inequality; Bernardi Integral Operator; starlike function; convex function; convolution; Bernardi integral operator
UR - http://eudml.org/doc/219619
ER -