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Journals / Hacettepe Journal of Mathematics and Statistics / 2019 / Volume: 48 Issue: 6

Harmonic functions with missing coefficients

Jacek Dziok(University of Rzeszów)0000-0003-1482-1080
Pages
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Publication Date
2019-12-08
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AI Summary & Key Takeaways

AI Insight
⚡ TL;DR(Too Long; Didn't Read)

Some applications of the main results are also considered.

📌 3 Key Takeaways

🎯
Objective & Hypothesis:In the paper we introduce the classes of functions with missing coefficients defined by generalized Ruscheweyh derivatives and we show that they can be presented as dual sets.
📊
Key Findings & Data:Moreover, by using extreme points theory, we obtain estimations of classical convex functionals on the defined classes of functions.
💡
Conclusion & Impact:Some applications of the main results are also considered.
🔬Design:Research Article
📍Scope:Comprehensive Sample
⚙️Variables:Harmonic functions · Subordination · Missing coefficients

Abstract

In the paper we introduce the classes of functions with missing coefficients defined by generalized Ruscheweyh derivatives and we show that they can be presented as dual sets. Moreover, by using extreme points theory, we obtain estimations of classical convex functionals on the defined classes of functions. Some applications of the main results are also considered.

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Cite This Article

Dziok, J. (2019). Harmonic functions with missing coefficients. Hacettepe Journal of Mathematics and Statistics, Volume: 48 Issue: 6. https://doi.org/10.15672/HJMS.2018.637

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