关于复阶k一致α-凸p叶函数类的新积分算子的凸性

doi:10.13371/j.cnki.chin.q.j.m.2014.01.011

数学季刊 ›› 2014, Vol. 29 ›› Issue (1): 88-96.doi: 10.13371/j.cnki.chin.q.j.m.2014.01.011

关于复阶k一致α-凸p叶函数类的新积分算子的凸性

School of Mathematics and Statistics, Chifeng University

收稿日期:2013-01-21 出版日期:2014-03-30 发布日期:2023-02-13
作者简介:LI Shu-hai(1966-), male(mongolian), native of Chifeng, Inner Mongolia, a professor of Chifeng University, engages in geometric function theory and applications; MA Li-na(1982-), female(mongolian), native of Chifeng, Inner Mongolia, a lecturer of Chifeng University, M.S.D., engages in harmonic analysis; AO-en(1980-), female(mongolian), native of Chifeng, Inner Mongolia, a lecturer of Chifeng University, M.S.D., engages in complex analysis.
基金资助:
Supported by the Natural Science Foundation of Inner Mongolia(2009MS0113)；Supported by the Higher School Research Foundation of Inner Mongolia(NJzy08150)

Convexity for New Integral Operator on k-uniformly p-valent α-convex Functions of Complex Order

School of Mathematics and Statistics, Chifeng University

Received:2013-01-21 Online:2014-03-30 Published:2023-02-13
About author:LI Shu-hai(1966-), male(mongolian), native of Chifeng, Inner Mongolia, a professor of Chifeng University, engages in geometric function theory and applications; MA Li-na(1982-), female(mongolian), native of Chifeng, Inner Mongolia, a lecturer of Chifeng University, M.S.D., engages in harmonic analysis; AO-en(1980-), female(mongolian), native of Chifeng, Inner Mongolia, a lecturer of Chifeng University, M.S.D., engages in complex analysis.
Supported by:
Supported by the Natural Science Foundation of Inner Mongolia(2009MS0113)；Supported by the Higher School Research Foundation of Inner Mongolia(NJzy08150)

摘要/Abstract

摘要：

In this paper, we obtain the convexity of new general integral operator on some classes of k-uniformly p-valent α-convex functions of complex order. These results extend some known theorems.

关键词: analytic functions, p-valently, k-uniformly, starlike, convex, integral operator

Abstract: In this paper, we obtain the convexity of new general integral operator on some classes of k-uniformly p-valent α-convex functions of complex order. These results extend some known theorems.

Key words: analytic functions, p-valently, k-uniformly, starlike, convex, integral operator

中图分类号:

O174.51

李书海, 马丽娜, 敖恩. 关于复阶k一致α-凸p叶函数类的新积分算子的凸性[J]. 数学季刊, 2014, 29(1): 88-96.

LI Shu-hai, MA Li-na, AO-en. Convexity for New Integral Operator on k-uniformly p-valent α-convex Functions of Complex Order[J]. Chinese Quarterly Journal of Mathematics, 2014, 29(1): 88-96.

[1]	洪勇, 赵茜. 两类加权空间间的积分算子与离散算子的有界性及算子范数估计[J]. 数学季刊, 2024, 39(1): 59-67.
[2]	王小元, 刘亚娟. 一类包含广义Mittag-Leffler函数的积分算子的从属与超从属结果[J]. 数学季刊, 2023, 38(4): 379-391.
[3]	金玲子. 一类非凸优化问题的邻近拟牛顿方法的复杂性[J]. 数学季刊, 2023, 38(1): 62-84.
[4]	王潇. 混合范数乘积空间上的奇异积分 [J]. 数学季刊, 2022, 37(2): 214-220.
[5]	洪勇, 冯明军. 序列空间l和函数空间 L 之间具有齐次核的 Hilbert 型算子有界的参数条件 [J]. 数学季刊, 2022, 37(1): 94-102.
[6]	李鸿军. 局部共形拟 Kähler Finsler 流形[J]. 数学季刊, 2021, 36(3): 244-251.
[7]	沈楠, 靳正芬, 王秋雨. 求解低秩列稀疏矩阵恢复问题的嵌套交替方向乘子法[J]. 数学季刊, 2021, 36(1): 90-110.
[8]	白玉娟, 刘坤, 张琛. 模糊数值函数的强广义凸性及其在模糊优化中的应用[J]. 数学季刊, 2020, 35(4): 370-387.
[9]	金建军, 李春华. 经典Hilbert不等式的p进制版本[J]. 数学季刊, 2020, 35(4): 431-440.
[10]	连铁艳, 汤伟. 关于s-凸函数的Hermite-Hadamard型积分不等式的推广[J]. 数学季刊, 2018, 33(3): 278-286.
[11]	周从会. 一个微分算子在p-叶函数类上的应用[J]. 数学季刊, 2018, 33(2): 199-205.
[12]	郭盛梯, 徐庆华. 多复变一类星形映照子族的系数不等式[J]. 数学季刊, 2018, 33(1): 98-110.
[13]	敖恩, 李书海, 汤获, 斯琴其木格. 由拟从属关系定义的P叶解析函数子类的Fekete-Szeg?问题[J]. 数学季刊, 2017, 32(4): 432-440.
[14]	王见勇. l~0({X_i})型赋准范空间的共轭空间的表示问题[J]. 数学季刊, 2017, 32(3): 294-304.
[15]	熊良鹏. 算子化单叶解析函数的优化结果和系数边界[J]. 数学季刊, 2017, 32(2): 142-151.

关于复阶k一致α-凸p叶函数类的新积分算子的凸性

Convexity for New Integral Operator on k-uniformly p-valent α-convex Functions of Complex Order

PDF (PC)

可视化

摘要/Abstract

引用本文

使用本文

参考文献

相关文章 15

编辑推荐

Metrics

本文评价