α阶和β型一致凸函数线性算子的预schwarzian范数

IF 0.4 4区数学 Q4 MATHEMATICS

Studia Scientiarum Mathematicarum Hungarica Pub Date : 2019-09-01 DOI:10.1556/012.2019.56.3.1429

J. Dziok, H. Zayed

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引用次数: 0

摘要

利用本文给出的pre-Schwarzian范数，得到了一类α阶和β型一致凸函数的Hohlov算子的范数估计。我们还采用了一种全新的方法来推广和扩展[3]中定理1、2和3的结果。最后，讨论了Dziok-Srivastava算子的pre-Schwarzian导数范数的一些不等式。

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Pre-Schwarzian norm for linear operators of uniformly convex functions of order α and type β

By making use of the pre-Schwarzian norm given by we obtain such norm estimates for Hohlov operator of functions belonging to the class of uniformly convex functions of order α and type β. We also employ an entirely new method to generalize and extend the results of Theorems 1, 2 and 3 in [3]. Finally, some inequalities concerning the norm of the pre-Schwarzian derivative for Dziok-Srivastava operator are also considered.

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来源期刊

Studia Scientiarum Mathematicarum Hungarica 数学-数学

CiteScore

1.30

自引率

0.00%

发文量

审稿时长

>12 weeks

期刊介绍： The journal publishes original research papers on various fields of mathematics, e.g., algebra, algebraic geometry, analysis, combinatorics, dynamical systems, geometry, mathematical logic, mathematical statistics, number theory, probability theory, set theory, statistical physics and topology.