The authors prove some monotonicity properties of functions involving the generalized Agard distortion function ηg(a,t), and obtain some inequalities for ηk(a, t) and relative distortion functions.
Let A p(n)(p, n∈N={1,2,…}) denote the class of functions of the form f(z)=z p+a p+n z p+n +… which are analytic in the unit disc E={z:|z|<1}. By using the method of differential subordinati ons we give som...Let A p(n)(p, n∈N={1,2,…}) denote the class of functions of the form f(z)=z p+a p+n z p+n +… which are analytic in the unit disc E={z:|z|<1}. By using the method of differential subordinati ons we give some sufficient conditions for a function f(z)∈A p(n) to be a certain subclass R p(n,k) of p-valently close-to-convexity funct ions.展开更多
<strong>Introduction: </strong><span style="font-family:Verdana;">Female Breast cancer is the second leading cause of cancer</span><span style="font-family:Verdana;">-...<strong>Introduction: </strong><span style="font-family:Verdana;">Female Breast cancer is the second leading cause of cancer</span><span style="font-family:Verdana;">-</span><span style="font-family:Verdana;">related deaths in the U.S. While the incidence rate is lower in Hispanic-Black, </span><span style="font-family:Verdana;">the </span><span style="font-family:Verdana;">mortality rate is higher compared to Non-Hispanic White. This study investigates the trends of incidence and mortality rate of breast cancer in the U.S.</span><span style="font-family:Verdana;">: </span><span style="font-family:;" "=""><span style="font-family:Verdana;">2000-2016. It further explores the racial disparities between these two races. </span><b><span style="font-family:Verdana;">Method: </span></b><span style="font-family:Verdana;">Data for four age groups (15</span></span><span style="font-family:;" "=""> </span><span style="font-family:Verdana;">-</span><span style="font-family:;" "=""> </span><span style="font-family:Verdana;">39</span><span style="font-family:;" "=""> </span><span style="font-family:Verdana;">yrs, 40</span><span style="font-family:;" "=""> </span><span style="font-family:Verdana;">-</span><span style="font-family:;" "=""> </span><span style="font-family:Verdana;">64</span><span style="font-family:;" "=""> </span><span style="font-family:Verdana;">yrs, 65</span><span style="font-family:;" "=""> </span><span style="font-family:Verdana;">-</span><span style="font-family:;" "=""> </span><span style="font-family:Verdana;">74</span><span style="font-family:;" "=""> </span><span style="font-family:Verdana;">yrs, 75+</span><span style="font-family:;" "=""> </span><span style="font-family:Verdana;">yrs) of Hispanic-Black and Non-Hispanic White women for breast cancer were extracted from SEER;age</span><span style="font-family:Verdana;">-</span><span style="font-family:;" "=""><span style="font-family:Verdana;">adjusted rate (U.S. 2000 standard pop</span><span style="font-family:Verdana;">ulation). Primary trend analysis was done with PyCharm 2020.3.3. (line </span><span style="font-family:Verdana;">charts) and regression models to check any significant increase or decrease over the years were done with JoinPoint 4.8.0.1 (APC, 95% CI, significant p-value: </span><span><span style="font-family:Verdana;"><0.05). </span><b><span style="font-family:Verdana;">Result: </span></b><span style="font-family:Verdana;">Incidence rate is higher in Non-Hispanic White women, </span></span><span style="font-family:Verdana;">whereas mortality rate is higher in Hispanic Black. The 40</span></span><span style="font-family:;" "=""> </span><span style="font-family:Verdana;">-</span><span style="font-family:;" "=""> </span><span style="font-family:Verdana;">64</span><span style="font-family:;" "=""> </span><span style="font-family:Verdana;">yrs age groups showed </span><span style="font-family:Verdana;">an </span><span style="font-family:Verdana;">increase in incidence rate for Hispanic Black women, whereas </span><span style="font-family:Verdana;">an </span><span style="font-family:Verdana;">decrease for White women. The least vulnerable group, 15</span><span style="font-family:;" "=""> </span><span style="font-family:Verdana;">-</span><span style="font-family:;" "=""> </span><span style="font-family:Verdana;">39</span><span style="font-family:;" "=""> </span><span style="font-family:Verdana;">yrs age</span><span style="font-family:Verdana;"> showed an increase in incidence rate in Non-Hispanic White women. </span><span style="font-family:Verdana;">The </span><span style="font-family:;" "=""><span style="font-family:Verdana;">mortality rate was declining overall for both races. </span><b><span style="font-family:Verdana;">Conclusion:</span></b><span style="font-family:Verdana;"> Disparities in oncologic healthcare, insurance system and socio-economic factors </span></span><span style="font-family:Verdana;">are</span><span style="font-family:;" "=""><span style="font-family:Verdana;"> possi</span><span style="font-family:Verdana;">bly responsible for the higher mortality in Black American women. Im</span><span style="font-family:Verdana;">provements in these factors may reduce racial differences.</span></span>展开更多
基金supported by the Natural Science Foundation of China(11071069 and 11171307)the Natural Science Foundation of the Department of Education of Zhejiang Province(Y201328799)
文摘The authors prove some monotonicity properties of functions involving the generalized Agard distortion function ηg(a,t), and obtain some inequalities for ηk(a, t) and relative distortion functions.
文摘Let A p(n)(p, n∈N={1,2,…}) denote the class of functions of the form f(z)=z p+a p+n z p+n +… which are analytic in the unit disc E={z:|z|<1}. By using the method of differential subordinati ons we give some sufficient conditions for a function f(z)∈A p(n) to be a certain subclass R p(n,k) of p-valently close-to-convexity funct ions.
文摘<strong>Introduction: </strong><span style="font-family:Verdana;">Female Breast cancer is the second leading cause of cancer</span><span style="font-family:Verdana;">-</span><span style="font-family:Verdana;">related deaths in the U.S. While the incidence rate is lower in Hispanic-Black, </span><span style="font-family:Verdana;">the </span><span style="font-family:Verdana;">mortality rate is higher compared to Non-Hispanic White. This study investigates the trends of incidence and mortality rate of breast cancer in the U.S.</span><span style="font-family:Verdana;">: </span><span style="font-family:;" "=""><span style="font-family:Verdana;">2000-2016. It further explores the racial disparities between these two races. </span><b><span style="font-family:Verdana;">Method: </span></b><span style="font-family:Verdana;">Data for four age groups (15</span></span><span style="font-family:;" "=""> </span><span style="font-family:Verdana;">-</span><span style="font-family:;" "=""> </span><span style="font-family:Verdana;">39</span><span style="font-family:;" "=""> </span><span style="font-family:Verdana;">yrs, 40</span><span style="font-family:;" "=""> </span><span style="font-family:Verdana;">-</span><span style="font-family:;" "=""> </span><span style="font-family:Verdana;">64</span><span style="font-family:;" "=""> </span><span style="font-family:Verdana;">yrs, 65</span><span style="font-family:;" "=""> </span><span style="font-family:Verdana;">-</span><span style="font-family:;" "=""> </span><span style="font-family:Verdana;">74</span><span style="font-family:;" "=""> </span><span style="font-family:Verdana;">yrs, 75+</span><span style="font-family:;" "=""> </span><span style="font-family:Verdana;">yrs) of Hispanic-Black and Non-Hispanic White women for breast cancer were extracted from SEER;age</span><span style="font-family:Verdana;">-</span><span style="font-family:;" "=""><span style="font-family:Verdana;">adjusted rate (U.S. 2000 standard pop</span><span style="font-family:Verdana;">ulation). Primary trend analysis was done with PyCharm 2020.3.3. (line </span><span style="font-family:Verdana;">charts) and regression models to check any significant increase or decrease over the years were done with JoinPoint 4.8.0.1 (APC, 95% CI, significant p-value: </span><span><span style="font-family:Verdana;"><0.05). </span><b><span style="font-family:Verdana;">Result: </span></b><span style="font-family:Verdana;">Incidence rate is higher in Non-Hispanic White women, </span></span><span style="font-family:Verdana;">whereas mortality rate is higher in Hispanic Black. The 40</span></span><span style="font-family:;" "=""> </span><span style="font-family:Verdana;">-</span><span style="font-family:;" "=""> </span><span style="font-family:Verdana;">64</span><span style="font-family:;" "=""> </span><span style="font-family:Verdana;">yrs age groups showed </span><span style="font-family:Verdana;">an </span><span style="font-family:Verdana;">increase in incidence rate for Hispanic Black women, whereas </span><span style="font-family:Verdana;">an </span><span style="font-family:Verdana;">decrease for White women. The least vulnerable group, 15</span><span style="font-family:;" "=""> </span><span style="font-family:Verdana;">-</span><span style="font-family:;" "=""> </span><span style="font-family:Verdana;">39</span><span style="font-family:;" "=""> </span><span style="font-family:Verdana;">yrs age</span><span style="font-family:Verdana;"> showed an increase in incidence rate in Non-Hispanic White women. </span><span style="font-family:Verdana;">The </span><span style="font-family:;" "=""><span style="font-family:Verdana;">mortality rate was declining overall for both races. </span><b><span style="font-family:Verdana;">Conclusion:</span></b><span style="font-family:Verdana;"> Disparities in oncologic healthcare, insurance system and socio-economic factors </span></span><span style="font-family:Verdana;">are</span><span style="font-family:;" "=""><span style="font-family:Verdana;"> possi</span><span style="font-family:Verdana;">bly responsible for the higher mortality in Black American women. Im</span><span style="font-family:Verdana;">provements in these factors may reduce racial differences.</span></span>